Fourier Analysis and Approximation of Functions

Name: Fourier Analysis and Approximation of Functions
Brand: Springer Netherlands
SKU: 9789048166411
Price: 157.47 EUR
Availability: InStock

Автор: Roald M. Trigub, Eduard S. Belinsky

Език:

Корици: С меки корици

Издател: Springer Netherlands

Наличност: Външен склад

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157.47 € 307.99 лв

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as...

Информация за книгата

Автор

Roald M. Trigub, Eduard S. Belinsky

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

585

EAN

9789048166411

ISBN

9048166411

Enbook ID

01974928

Издател

Springer Netherlands

Теглоt

908

Размери

160 x 240 x 30

Пълно описание

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. §In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. §The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. §In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. §The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.

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