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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam, the Netherlands :
Gordon and Breach Science Publishers,
[2000]
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| Colección: | Analytical methods and special functions ;
v. 4. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.