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Fourier transforms and approximations /

Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line) The focus is on the behaviour of Fourier transforms in the region of analyticity...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sedletskii, A. M. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam, the Netherlands : Gordon and Breach Science Publishers, [2000]
Colección:Analytical methods and special functions ; v. 4.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Fourier transforms and approximations /  |c A.M. Sedletskii ; translated from the Russian by E.V. Pankratiev. 
264 1 |a Amsterdam, the Netherlands :  |b Gordon and Breach Science Publishers,  |c [2000] 
264 4 |c ©2000 
300 |a 1 online resource 
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490 1 |a Analytical methods and special functions,  |x 1027-0264 ;  |v v. 4 
504 |a Includes bibliographical references and index. 
505 0 |a Chapter 1 Notation and some preliminaries from analysis -- chapter 2 Distribution of zeros of finite Fourier (Laplace) transforms -- chapter 3 Estimates of Fourier and Laplace transforms and their applications -- chapter 4 Laplace transforms in the weight spaces LP and their applications -- chapter 5 Stability of classes of finite Fourier transforms and its application -- chapter 6 Non-harmonic Fourier series (behaviour on the initial interval) -- chapter 7 Non-harmonic Fourier series (behaviour on the real line) -- chapter 8 The Miintz-Szasz problem -- chapter 9 Fourier transforms of rapidly decreasing functions -- chapter 10 Approximation by translates and exponents on the line. 
520 3 |a Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line) The focus is on the behaviour of Fourier transforms in the region of analyticity and the distribution of their zeros. Applications of results are presented: approximation by exponentials on the finite interval; behavior of the nonharmonic Fourier series; Muntz-Szasz's problem of approximation by powers on unit interval; approximation by weighted exponentials on whole line. 
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650 0 |a Fourier analysis. 
650 0 |a Fourier transformations. 
650 2 |a Fourier Analysis 
650 6 |a Analyse de Fourier. 
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650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Fourier analysis  |2 fast 
650 7 |a Fourier transformations  |2 fast 
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830 0 |a Analytical methods and special functions ;  |v v. 4. 
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