D. C. Champeney, Champeney D. C.

A Handbook of Fourier Theorems

• Gebundenes Buch

Produktbeschreibung

This handbook presents a collection of the most important theorems in Fourier analysis. Proofs are presented intuitively, without burdensome mathematical rigor, in a form that is accurate but also accessible to a reader who is not a specialized mathematician. This text bridges the gap between books presently on the market by discussing the finer points of the theory. It is self-contained in that it includes examples of the use of the various theorems.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 200
• Erscheinungstermin: 18. Oktober 2003
• Englisch
• Abmessung: 235mm x 157mm x 15mm
• Gewicht: 448g
• ISBN-13: 9780521265034
• ISBN-10: 0521265037
• Artikelnr.: 21609290

Inhaltsangabe

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.