Index

Quantitative Analysis.

Trading Platform.

Python for Excel.

Author.

Printable PDF file

II.

III.

IV.

Implementation tools.

VI.

Basic Math II.

VII.

Implementation tools II.

Bibliography.

Forum

Notation

Index

Contents

Index.

1-dimensional Lagrange element

2-dimensional Lagrange element

A priory estimate for penalised solution 1

A priory estimates for Galerkin solution 1

Adaptive approximation section

Adjoint of surjection

Adjusted scale functions

Adjusted wavelet summary

Adjusted wavelets

Affine alpha component

Affine beta component

Affine boundary conditions

Affine characteristic function 1

Affine characteristic function 2

Affine hull

Affine set

Affine_equation_ab

Affine_equation_section

Affinity_pq

Algebraic tensor product of Hilbert spaces

Almost sure convergence

Almost sure convergence 2

AlphaK and BetaK 1

AlphaK and BetaK 2

Alternating_boundary

Alternating_boundary1

Alternating_boundary2

Alternating_directions1

Alternating_directions2

Approximate toy problem

Approximation and detail operators

Approximation and detail operators 2

Approximation and detail operators 3

Approximation and detail operators 4

Approximation and detail operators section

Approximation by smooth functions

Approximation in Nitsche norm

Arbitrage on lattice

Arzela-Ascoli compactness criterion

AS convergence vs convergence in pr 1

AS convergence vs convergence in pr 2

Asian PDE

Assumption of coercivity 1

Asymptotic expansion of Laplace integral

Asymptotic expansion of Laplace integral section

Asymptotic expansions chapter

Asymptotic of generic Laplace integral

Asymptotic of integral with Gaussian kernel

Attainable sets

Average difference lemma

Averaged Taylor polynomial

Averaged Taylor polynomial section

Backward equation on lattice

Backward Euler convergence 2

Backward Euler problem

Backward induction

Backward Kolmogorov for Feller process

Backward Kolmogorov generator

Backward Kolmogorov with running payoff

Backward propagator

Backward_equation_for_jump_diffusion

Backward_equation_section

Banach fixed point theorem

Banach space

Basic existence of incomplete market pricing

Basic existence result

Basic properties of conditional expectation

Basic properties of Fourier transform

Basic properties of propagator 1

Basic properties of propagator 2

Basic property of orthogonal polynomials

Basis in Hilbert space

Basket credt derivative section

Bayesian_technique

Bayes_formula

Baysian_statistics_section

Bellman equation section

Bernstein inequality for wavelets

Bessel equality

BetaK separation of random walk

Bilinear form B

Bilinear form B 2

Biorthogonal QMF conditions

Biorthogonal QMF property 1

Biorthogonal QMF property 2

Biorthogonality

Biorthogonality criteria 1

Black Scholes formula

Black Scholes property 1

BlackScholesUndiscountedCall

Borel measurable function

Borell-Cantelli's lemma, part 1

Borell-Cantelli's lemma, part 2

Boundary elliptic regularity

Boundary_trick

Boundedness of adjoint of surjection

Boundedness of interpolation operator

Boundedness of surjection

Bounds of interpolation error section

Box-Muller procedure

Bramble-Hilbert lemma

Brownian_motion

C to W1p estimate

C0gamma vs W1p estimate

Calculational Linear Algebra chapter

Caratheodory theorem

Cascade algorithm

Cauchy inequality

Cauchy inequality for scalar product 1

Cauchy inequality for scalar product 2

Cauchy inequality for scalar product section

Cauchy inequality with epsilon

Central limit theorem

Cg to W1p estimate

Ch.f. of a sum

chained integral n factorial

Chain_rule

Change of measure 1

Change of measure on lattice

Change of measure on lattice 1

change of measure requirement

Change of numeraire kernel

Change_of_Brownian_motion

Change_of_drift_recipe

Change_of_drift_recipe_1

Change_of_measure_definition_section

Change_of_measure_recipe_section

Change_of_numeraire_definition_section

Change_of_numeraire_recipe_section

Characterisation of H-tilde spaces

Characteristic exponent of a pm

Characteristic function chapter

Characteristic measure of Poisson point process

Chebyshev inequality

Chebyshev polynomials

Chebyshev polynomials calculation

Chebyshev polynomials orthogonality

Chebyshev polynomials section

Chf of entrance time 1

Chunkiness parameter

Closeness and lower semicontinuity

CLT

Coefficients a

Coefficients of quadrature rule

Coherent measure

Common_application_of_change_of_measure

Compactly supported scaling function

Compactly supported smooth biorthogonal wavelets section

Complementary slackness

Complete measure space

Complete normed space

Complete tensor product of Hilbert spaces

Completion of measure via addition of null sets

Condition number

Conditional expectation

Conditional probability chapter

Conditionally_independent_defaults

Conjugate directions

Conjugate duality theorem

Conjugate gradient residue selection

Conjugate gradients

Connection between SLA and minimization

Constant finite element

Constraint qualification 1

Constraint qualification 2

Constraint qualification 3

Constraint qualification 4

Constraint qualification 5

Construction of approximation spaces section

Construction of generic Levy process

Construction of MRA and wavelets on half line or an interval section

Continuity lemma

Continuity point

Convergence in Lp and in probability 1

Convergence in Lp and in probability 2

Convergence lemma for family of complex numbers

Convergence of conjugate gradient method

Convergence of discontinuous Galerkin technique

Convergence of finite elements for generic parabolic operator section

Convergence of pm and chf 1

Convergence of pm and chf 2

Convergence of product

Convergence theorem for martingales

Convex and proper function

Convex homogenous function property

Convex hull

Convex Hull Cone Relative Interior

Convex set

Convexity of partial minimum

Convolution and smoothing section

Copula_calculation_for_CDO

Crank-Nicolson convergence for heat equation

Crank-Nicolson problem for heat equation

Credit_default_swap_section

Criteria of positive definiteness

Crossing theorem 1

Crossing theorem 2

Currency_change_of_numeraire_recipe

Cutoff function

Data Analysis part

Decomposition of a convex set

Definition of A_i

Definition of Epsilon

Definition of g_k

Definition of K0

Definition of K1

definition of minmax p

Definition of P_i

Definition of Q_i

Definition of the Poisson process

Definitions and the main convergence theorem section

Definition_of_change_of_measure

Delta hedging

Delta_hedging_with_predictable_jump_section

Derivative vs scale

DHE with term structure

Differential inequality 1

Differential inequality 2

Differentiation of asymptotic power series

Dimension of tensor product

Dirac delta function

Direct Fourier transform

Directional derivative

Directions of recession

Dirichlet problem for generic parabolic operator

Discontinuous Galerkin time-discretization

Discrete wavelet transform section

Discrete wavelet transform setup

Displaced diffusion section

Displaced Heston equations

Displaced Heston equations chapter

Dissipation property of Feller process

Distribution density via Call

Distribution of Poisson process section

Dominated convergence on lattice

Dominated convergence theorem

Dual wavelets properties

Duality gap and geometric multipliers

Dyson decomposition theorem

Egorov theorem

Eigenfunctions of Laplacian

Eigenvalues of compact symmetric operator

Eigenvalues of symmetric elliptic operator

Elliptic alternative 1

Elliptic alternative 2

Elliptic boundedness of inverse

Elliptic differential operator

Elliptic Dirichlet problem

Elliptic PDE section

Elliptic regularity for Poisson equation

Elliptic regularity section

Elliptic Ritz projection

Embedding of dual Sobolev space

Energy approximation

Energy estimate 2

Energy estimates for the bilinear form B

Energy estimates for the Galerkin approximate solution

Equivalence of AS and PR convergence for series

Equivalence of toy problems

Equivalent definitions of vague convergence

Equivalent Markov processes

Equivalent sequences of rv

Estimate of interpolation error

Estimate of interpolation error 2

Estimate of interpolation error 3

Estimate of mean by probability series

Euler Lagrange equation

Eventuality of random walk

Evolutionary penalised problem

Evolutionary variational inequality problem

Evolution_equation

Existence and uniqueness for evolutionary problem

Existence and uniqueness for non-coercive stationary problem.

Existence and uniqueness for penalised problem

Existence and uniqueness for penalised problem 2

Existence and uniqueness for stationary problem

Existence for Galerkin approximation of stationary problem

Existence of adapted wavelets

Existence of adapted wavelets with increasing supports

Existence of biorthogonal basis 1

Existence of biorthogonal compactly supported wavelets

Existence of conditional expectation

Existence of derivative via finite difference

Existence of incomplete market pricing

Existence of Lagrange multipliers for equality constraints

Existence of Lebesgue measure

Existence of orthogonal polynomials

Existence of orthonormal wavelet bases 1

Existence of orthonormal wavelet bases 2

Existence of smooth compactly supported wavelets

Existence of subdifferential

Existence of wavelets with orthogonality across scales

Existence of weak solution for elliptic Dirichlet problem 1

Existence of weak solution for elliptic Dirichlet problem 2

Existence of weak solution for elliptic Dirichlet problem 3

Existence of weak solution for the parabolic Dirichlet problem

Existence of weak solution of the Heat equation

Existence of weak solution of the Poisson equation

Explicit_scheme

Extension of Borell-Cantelli lemma to random walk

Extension of measure to sigma algebra

Extension path definition

Extension theorem

Extremal properties of orthogonal polynomials

Extreme points of polyhedral set 1

Extreme points of polyhedral set 2

Fair Variance vs Log contract

Farkas lemma

Fast exponentiation summary

Fatou lemma

Feasible direction cone

Feller process

Feller process property 1

Filtration_definition_section

Financial model on lattice

Finite difference basics

Finite difference basics section

Finite difference in Sobolev space

Finite differences

Finite dimensional approximation 1

Finite dimensional approximation 2

Finite element

Finite element section

Finite elements chapter

Finite QMF convergence

Finite space variable incomplete market

Form of Schwarz operator

Forward Kolmogorov equation for Ito process

Forward and backward equations

Forward and backward generators def

Forward and backward generators section

Forward equation on lattice

Forward LIBOR

Forward propagator

Forward_exchange_rate

Forward_Kolmogorov

Fourier analysis in Hilbert space section

Fourier decomposition

Fourier series on unit interval

Fourier series section

Fourier transform

Fourier transform of convolution

Fourier transform of delta function section

Fourier transform of projection on span of translates

Fourier transform section

Free boundary problem 1

Friedrich lemma

Fritz John conditions

Fubini theorem

Function spaces section

Functional analysis chapter

Fundamental solution for ODE

Fundamental theorem of finance on lattice

Gagliardo-Nirenberg-Sobolev inequality

Galerkin approximation 1

Galerkin approximation 2

Galerkin approximation for parabolic Dirichlet problem section

Galerkin approximation of stationary problem

Galerkin coefficients

Galerkin convergence 1

Galerkin convergence 2

Galerkin convergence 3

Galerkin convergence 4

Galerkin convergence 5

Galerkin convergence 6

Galerkin problem

Gamma function primer

Gamma_distribution

Gauss-Hermite Intergration

Gaussian quadrature rule

generalized impulse equation

generalized impulse solution

Generalized multiresolution analysis

General_change_of_Brownian_motion

Generator of Levy process

Generic Backward Kolmogorov

Generic Forward Kolmogorov

Generic parabolic PDE

Generic parabolic PDE problem

Generic parabolic PDE setup

Geometric multiplier

Geometric multiplier property

Gershgorin circle theorem

Girsanov_kernel

Girsanov_theorem

Girsanov_theorem_A

Global approximation by smooth functions

GMRA Ries bases

Gram-Schmidt orthogonalization section

Haar functions section

Hahn decomposition theorem

Hankel determinants

Heat equation weak formulation 1

Heat equation weak formulation 2

Heat equation with Dirichlet boundary condition

Heat equation with Neumann boundary condition

Heston approximation

Heston_equations

Heston_equation_section

Hewitt and Savage zero-or-one law

HI1

Hierarchical1

Hierarchical2

High order internal elliptic regularity

Higher degree of exactness

Hyperplane representation

Hypothesis_testing_problem

Idea of Bayesian analysis section

Identification of nodal variables 1

Identification of nodal variables 2

Implementation tools II part

Implicit spectrum

Implicit_scheme

Incomplete market ask

Incomplete market bid

Independence of Poisson processes

Independency of pre-alpha and post-alpha fields

Independent process

Induced outer measure

Infimal convex function

Infimal convolution

Infimal convolution of support functions

Infinitely divisible pm

Infinitely often zero-or-one law

Instant smoothness of solution operator for PP 1

Int t_dW

Integral form of Taylor decomposition

Integral of scaling function

Integral of wavelet

Integration by part for finite differences

Interaction of approximation and detail operators with Fourier transform

Interaction of downsampling with Fourier transform

Interaction of tilde with Fourier transform

Interaction of upsampling with Fourier transform

Interpolant

Interpolated continuity

Interpolation inequality

Interpolation of Hilbert spaces section

Intersection of halfspaces

Intersection property

Invariant set

Inverse Fourier transform

Inversion of chf into df

Inversion of chf into pm 1

Inversion of chf into pm 2

Inversion_remark

IO criteria for AS convergence

Ito calculus

Ito isometry

Ito_derivative_of_product

Ito_formula

Jackson inequality for wavelets

Jackson inequality for wavelets 2

Jacobi matrix

Jensen inequality

Jordan decomposition theorem

Kalman_filter_II_section

Kalman_II_model

Known_Variance1

Known_Variance2

Kolmogorov equations in general setting

Kolmogorov inequality for series 1

Kolmogorov inequality for series 2

Kolmogorov three series theorem

Kolmogorov zero-or-one law

Kolmogorov-Chapman equation

Krank_Nicolson

Krank_Nicolson_spectrum

Krein-Milman theorem

Kronecker summation lemma

Lagrange interpolation formula

Lagrange interpolation formula 1

Lagrange multiplier

Lagrangian optimality

Laplace quadrature section

Laplace transform section

Lattice normalization 1

Lattice normalization 2

Lattices def

Law of large number for iid rv with finite mean

Law of large numbers for independent rv

Lax-Milgram theorem

Lax_convergence_theorem

Lebesgue differentiation theorem

Lebesgue differentiation theorem section.

Lebesgue integral definition

Left and right derivatives

Levy process

Levy process chapter

Levy-Khintchine formula 1

Levy-Khintchine formula 2

Limsup and liminf for sets

Lindeberg-Feller CLT

Lindeberg-Feller condition

Line segment principle

Linear equation

Linear independence from biorthogonality

Linear intersection result

Linear tensor product element

Linear transformation of random variables

Local approximation by smooth functions

Local minima of convex function

Local minimum of a sum

Magnitude of matrix Epsilon

Main properties of direction of recession

Main property of basis in Hilbert space

Main property of convex function

Main property of Fourier decomposition

Main property of Haar functions 1

Main_property_of_change_of_measure

Mapping of conditional expectation

Markov Generator normalization

Markov generator properties

Markov propagator def

Markov property

Markovian projection

Markovian projection on displaced diffusion section

Markovian projection section

MarkPr TargetEquation

MarkPr TargetEquations 2

MarkPr1 Beta

MarkPr1 Sigma

Martingale 1

Martingale definition

Martingale on lattice

Martingale property of Feller process

martingaleX

Maximal inequality for martingales

Maximal_likelihood_section

Maximum norm optimality of Chebyshev polynomials

Maximum of random walk

Measurable function on lattice

Measurable set

Measurable space

Method of conjugate directions section

Method of conjugate gradients section

Method of steepest descent section

Min common and max crossing point section

Minimization with equality constraints

Minimum of a convex function

Minimum of a smooth function

Minkowski-Weyl representation

Minkowski-Weyl theorem

Minmax_theorem

MMA numeraire

Mollifier for a ball 1

Mollifier for a ball 2

Monotonic process on lattice

Monotonic sequences on lattice

Monotonicity of solution of stationary problem

Morrey inequality

Multidimensional Gyongy lemma

Multiresolution analysis

Multiresolution analysis section

Necessary and sufficient optimality conditions

Nitsche bilinear form

Nitsche form energy estimates

No arbitrage 1

No arbitrage 2

No drift Black Scholes

Non emptiness of relative interior

Non-coercivity assumption 1

Nondecreasing ratio

Nonvertical separation

Norm

Normal cone

Normal distribution with unknown parameters 1

Normal distribution with unknown parameters 2

Normal_variable

Notation W_d

O symbols

Operations on sets and logical statements

operations on sets section

Operator L

Operator L 2

Optimal stopping

Optimal stopping time problem section

Optimal strategy with accrual

Optimal utility section delta hedging

Optional random variable

Optional sampling theorem

order of integration one

order of integration two

Orthogonal L2 projection

Orthogonal polynomials

Orthogonality of adjusted scaling functions

Orthogonality of residues

Orthogonality of residues 2

Orthogonal_normal_variables

Orthonormal system of translates def

Orthonormal system of translates section

Orthonormal wavelet bases section

Orthonormal wavelet basis

Parabolic differential operator

Parabolic Dirichlet problem

Parabolic PDE section

Parabolic problem with nonsmooth initial condition

Parabolic regularity 1

Parabolic regularity 2

Parabolic regularity for heat equation

Parabolic regularity section

Parallel subspace correction method section

Parallel subspace preconditioner

Parallel subspace preconditioner property

Parameter averaging

Parameter averaging section

Parameter d

Parseval equality

Partial inversion lemma

Partial inversion lemma 2

Partial minimization result

Partially inverted problem

Partially inverted semidiscrete parabolic problem

Partially inverted semidiscrete parabolic problem 1

Partition of unity definition

Path functional def

Path-Integral representation

Pathwise differentiation

Pervasive idea of recursive calculation section

Piecewise linear MRA section

Piecewise smooth Markov propagator

Pm vs chf estimate

Poincare inequality

Poincare inequality for a ball

Poisson equation weak formulation 1

Poisson equation weak formulation 2

Poisson equation with Dirichlet boundary condition

Poisson formula for delta function

Poisson formula section

Poisson point process

Poisson point process section

Poisson process chapter

Poisson property 1

Poisson property 2

Poisson property 3

Polar cone definition

Polar cone properties

Polar cone theorem

Polar polyhedral cone

Polyhedral function

Positive definite inner product

Possible value of random walk

Post-alpha process

Pre-alpha field

Precompactness of a tight sequence of pm

Preconditioning section

Preliminary reduction

Preliminary reduction 2

Preservation of closeness result

Preservation of convexity

Preservation of stationary measure

Primal feasibility

Primal problem

Principal intersection result

Probability based criteria for AS convergence

Projection permuation

Projection theorem

Proof of existence for stationary problem section

Propagator and transitional probability

Proper separation 1

Proper separation 2

Properties of averaged Taylor polynomial

Properties of dual frame

Properties of Feller resolvent 1

Properties of Feller resolvent 2

Properties of Feller resolvent 3

Properties of frame operator

Properties of interpolant

Properties of left and right derivative

Properties of mollifiers

Properties of Poisson point process

Properties of Schwarz operator

Properties of sequences h and g

Properties of sequences h and g section

Properties of solution operator

Properties of solution operator 2

Properties of subgradient

Property of equivalent sequences of rv

Property of scale and transport 1

Property of scale and transport 2

Property of scale and transport 3

Property of scale and transport 4

Property of scale and transport 5

Property of scale and transport 6

Property of scale and transport 7

Property of transport 1

Property of transport 2

Quadratic form minimum

Quadratic intersection result

Quadrature rule

Quadrature rule 1

q_mu_1

Radon-Nikodym theorem

Random walk

Random walk space

Random walk space approximation

Real valued random variable

Recession cone of intersection

Recession cone of inverse image

Recovering MRA from auxilliary function 1

Recovering scaling function from auxilliary function section

recovery of implied distribution

Recurrent value of random walk

Recursive calculation

Recursive equation

Recursive relationships for wavelet section

Recursive relationships for wavelet transform

Rellich-Kondrachov compactness theorem

Remainder bound 1

Remainder of averaged Taylor polynomial

Remainder of averaged Taylor polynomial 2

Remainder of averaged Taylor polynomial 3

Remark on stability of financial problems

Remote event

Remote field

Representation of dual Sobolev space

Representation of solution for elliptic PDE using stochastic process section

Reproduction of polynomials 1

Reproduction of polynomials 2

Reproduction of polynomials 3

Reproduction of polynomials 4

Reproduction of polynomials by adjusted scale functions

Resolution structure for adapted scale functions

Resolvent of Feller process

Ricatti_equation_section

Riesz basis

Riesz basis condition

Riesz frame

Riesz potential bound 1

Riesz potential bound 2

Riesz property

Riesz representation theorem

Risk neutral Brownian motion

Risk neutral measure via Girsanov section

Risky_annuity

Risk_neutral_pricing

Ritz projection convergence 1

Saddle point defining property

Saddle point result 1

Saddle point result 2

Saddle point theorem

Saturated measure space

Scale and transport operators

Scale and transport operators 2

Scaling equation section

Scaling filter and auxiliary function

Second derivative localization

Second order internal elliptic regularity

Self financing 1

Self financing strategy

Self financing strategy on the lattice

Semi-orthogonal wavelet bases section

Senior_tranche_loss

Separable and dense set

Separating hyperplane theorem

Shift

Shift and sampling operators

Shifted Fourier transform equality

Sigma algebra

Sigma finite set

Simple function definition

Simple law of large numbers

Simplicial sequence def

Simplistic_copula

Sklar_theorem_1

Sklar_theorem_2

Smooth compactly supported wavelets section

Smooth optimization problem

Smoothness of compactly supported wavelets with vanishing moments

Smoothness of compactly supported wavelets with vanishing moments section

Sobolev conjugate

Sobolev inequality

Sobolev inequality 2

Sobolev space definition

Sobolev spaces in N dim as tensor products

Sobolev spaces section

Sobolev spaces with dominating mixed derivative

Solution operator for elliptic problem

Solution operator for generic elliptic problem

Solution operator for PP with nonsmooth IC

Space splitting setup

Sparse tensor product

Sparse tensor product approximation 1

Sparse tensor product approximation 2

Sparse tensor product definition section

Sparse tensor product section

Sparse tensor product setup

Spectral mapping theorem

Spectral_mapping

Spectrum of compact operator

Spitzer identity

Stability of general evolution equation

Stability of splitting for Sobolev spaces with dominating mixed derivative

Stability of splitting for tensor product of Sobolev spaces

Stability of wavelet splitting 1

Stability of wavelet splitting section

Stable space splittings section

Stable splitting

Standard mollifier definition

Standard_normal_variable

Star shaped set

Starting scaling function

static replication formula

Stationary independent increments

Stationary penalised problem

Stationary variational inequality problem

Steepest descent

step function

Stochastic process

Stregthened Cauchy-Schwartz inequality

Stress tests

Strict hyperplane separation 1

Strict hyperplane separation 2

Strong formulation of evolutionary problem

Strong formulation of stationary problem

Strong law of large numbers for iid rv

Strong law of large numbers for mean zero

Structure of recurrent values

Subgradient

Subgradient and subdifferential

Subordination

Subprobability measure

Subspace bases

Sufficient conditions for vanishing moments

Sufficient conditions for vanishing moments 2

Sufficient statistics for normal sample section

Suitable_numeraire

Summary: construction of MRA section

Support function

Support of adjusted scale function

Support of scaling function

Supporting hyperplane theorem

Swap rate

Symmetric principal part

T-forward probability measure

Taylor decomposition in Peano form

Taylor decomposition in Schlomilch, Lagrange and Cauchy forms

Taylor polynomial

Tensor product of bounded operators

Tensor product of function spaces

Tensor product of Hilbert spaces section

Tensor product properties 1

Tensor product properties 2

Tensor product splitting

Three-term recurrence relation

Tight sequence

Time dependent elliptic problem

Time dependent elliptic variational problem

Time series forecasting section

Time-weak problem

Total_probability_rule

Toy approximation in energy norm

Toy problem

Trace theorem

Trace-zero functions in W1p

Trading strategies

Tranche_loss

Transformation of SDE under the change of measure

Transformation of parabolic problem 1

Transformation of parabolic problem 2

Transformation of SDE based on delta hedging section

Transformation_to_heat_eq_section

Transition function

Transitive_bayes_formula

Trigonometry primer

Two_asset_change_of_numeraire_section

Unbounded existence result

Uniform continuity of chf

Uniform convergence

Uniform property of vague convergence

Uniformly equicontinuous sequence

Uniformly smooth approximation lemma

Union property

Uniqueness of weak solution for the parabolic Dirichlet problem

Unscented conditions for mean

Unscented covariance summary

Unscented mean section

Unscented mean summary

Unscented transformation section

Vague convergence as a weak convergence 1

Vague convergence as a weak convergence 2

Vague precompactness of spm

Vanishing moments for biorthogonal wavelets section

Vanishing moments of wavelet section

Vanishing moments vs approximation

Vanishing moments vs approximation 2

Vanishing moments vs approximation 3

Vanishing moments vs decay at infinity

Variance of target process

Variance swap pricing section

Variational Dirichlet problem for generic parabolic operator

Variational inequalitites chapter

Variational inequality example

Variational toy problem

Visualization lemma

W1p embedding

Wavelet analysis section

Wavelet estimates in Sobolev spaces section

Weak compactness of bounded set

Weak derivative

Weak derivative section

Weak duality theorem

Weak formulation of stationary problem

Weak formulation with respect to time parameter

Weak maximal principle 1

Weak solution of elliptic Dirichlet problem

Weak solution of parabolic Dirichlet problem

Weierstrass theorem

Whittaker sampling theorem

Why_Ito_process_section

Wiener-Hopf technique

XY_bracket

Young inequality

Zeros of orthogonal polynomials

Zorn maximal principle

Forum

Notation

Index

Contents