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Fourier Analysis and Approximation of Functions

Language EnglishEnglish
Book Hardback
Book Fourier Analysis and Approximation of Functions R. M. Trigub
Libristo code: 01415769
Publishers Springer Netherlands, November 2003
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as... Full description
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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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About the book

Full name Fourier Analysis and Approximation of Functions
Language English
Binding Book - Hardback
Date of issue 2004
Number of pages 586
EAN 9781402023415
ISBN 1402023413
Libristo code 01415769
Weight 1058
Dimensions 156 x 234 x 33
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