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A first course in fourier analysis /

This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ide...

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Detalles Bibliográficos
Clasificación:QA403.5 K3.55
Autor principal: Kammler, David W., 1940- (autor)
Formato: Libro
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2007.
Temas:
Tabla de Contenidos:
  • Chapter 1. Fourier's reperesentation for functions on R, Tp, Z, and Pn
  • Chapter 2. Convolution of functions on R, Tp, Z, and Pn
  • Chapter 3. The calculus for finding Fourier transforms of functions on R
  • Chapter 4. The calculus for finding Fourier transforms of functions on Tp, A, and Pn
  • Chapter 5. Operator identities associated with Fourier analysis
  • Chapter 6. The fast Fourier transform
  • Chapter 7. Generalized functions on R
  • Chapter 8. Sampling
  • Chapter 9. Partial differential equations
  • Chapter 10. Wavelets
  • Chapter 11. Musical tones
  • Chapter 12. Probability.