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A handbook of Fourier theorems

Author: D C Champeney
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Fourier analysis is used in the physical sciences, engineering and applied mathematics, and is of particular importance in communications theory and signal analysis. This handbook comprises a  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: D C Champeney
ISBN: 0521265037 9780521265034
OCLC Number: 15014935
Description: ix, 185 pages : illustrations ; 24 cm
Contents: Preface; 1. Introduction; 2. Lebesque integration; 3. Some useful theorems; 4. Convergence of sequences of functions; 5. Local averages and convolution kernels; 6. Some general remarks on Fourier transformation; 7. Fourier theorems for good functions; 8. Fourier theorems in Lp; 9. Fourier theorems for functions outside Lp; 10. Miscellaneous theorems; 11. Power spectra and Wiener's theorems; 12. Generalized functions; 13. Fourier transformation of generalized function I; 14. Fourier transformation of generalized function II; 15. Fourier series; 16. Generalized Fourier series; Bibliography; Index.
Responsibility: D.C. Champeney.
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