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Product Code:  TRANS2/209 
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Book DetailsAmerican Mathematical Society Translations  Series 2Volume: 209; 2003; 221 ppMSC: Primary 00;
The articles in this collection present new results in analysis, combinatorics, probability, theory of functions, and partial differential equations. The material presented in the book will be of interest to a broad range of specialists.
In several papers, the authors study the classical solvability of the CauchyDirichlet problem for a class of parabolic systems, the solvability of the Dirichlet problem for the quasilinear second order parabolic systems, estimates for solutions of uniformly elliptic systems, and generalizations of the embedding theorems. In other papers, the authors describe a new method for the computation of correlation dimension, present generalizations of the fast Fourier transform method for wavelet expansions, and study the spectrum of twodimensional periodic magnetic Schrödinger operator.ReadershipGraduate students and research mathematicians interested in analysis, combinatorics, probability, theory of functions, or partial differential equations.

Table of Contents

Cover

Title page

Copyright page

Contents

On classical solvability of the CauchyDirichlet problem for nondiagonal parabolic systems in the case of two spatial variables

The Bernstein inequality in the de Branges spaces and embedding theorems

The oblique derivative problem in spaces with asymptotics on edges

Glassman’s formula, fast Fourier transform, and wavelet expansions

Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges

Twosided estimates of deviation from exact solutions of uniformly elliptic equations

Calculation of correlation dimension of a time series based on enumeration of suboptimal solutions

Approximation by entire functions of an infinite system of closed intervals

Absolute continuity of the spectrum of the twodimensional magnetic periodic Schrödinger operator with positive electric potential

Back Cover


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The articles in this collection present new results in analysis, combinatorics, probability, theory of functions, and partial differential equations. The material presented in the book will be of interest to a broad range of specialists.
In several papers, the authors study the classical solvability of the CauchyDirichlet problem for a class of parabolic systems, the solvability of the Dirichlet problem for the quasilinear second order parabolic systems, estimates for solutions of uniformly elliptic systems, and generalizations of the embedding theorems. In other papers, the authors describe a new method for the computation of correlation dimension, present generalizations of the fast Fourier transform method for wavelet expansions, and study the spectrum of twodimensional periodic magnetic Schrödinger operator.
Graduate students and research mathematicians interested in analysis, combinatorics, probability, theory of functions, or partial differential equations.

Cover

Title page

Copyright page

Contents

On classical solvability of the CauchyDirichlet problem for nondiagonal parabolic systems in the case of two spatial variables

The Bernstein inequality in the de Branges spaces and embedding theorems

The oblique derivative problem in spaces with asymptotics on edges

Glassman’s formula, fast Fourier transform, and wavelet expansions

Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges

Twosided estimates of deviation from exact solutions of uniformly elliptic equations

Calculation of correlation dimension of a time series based on enumeration of suboptimal solutions

Approximation by entire functions of an infinite system of closed intervals

Absolute continuity of the spectrum of the twodimensional magnetic periodic Schrödinger operator with positive electric potential

Back Cover