A Handbook of Fourier Theorems

ISBN-13: 9780521265034 / Angielski / Twarda / 1987 / 200 str.

D. C. Champeney (University of East Anglia)

Opis

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.

Recenzje

"...the gap between engineering and the mathematical literature and is highly recommended." Choice

Spis treści

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.