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...
Clasificación: | QA403.5 K3.55 |
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Autor principal: | |
Formato: | Libro |
Idioma: | Inglés |
Publicado: |
Cambridge ; New York :
Cambridge University Press,
2007.
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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.