An Introduction to Harmonic Analysis

ISBN-13: 9780521543590 / Angielski / Miękka / 2004 / 336 str.

Yitzhak Katznelson

Opis

Awarded the American Mathematical Society Steele Prize for Mathematical Exposition, this Introduction, first published in 1968, has firmly established itself as a classic text. Yitzhak Katznelson demonstrates the central ideas of harmonic analysis and provides a stock of examples to foster a clear understanding of the theory. This new edition has been revised to include several new sections and a new appendix.

Recenzje

'… the third, revised, edition … Katznelson managed to improve on a seemingly perfect book!' Nieuw Archif voor Wiskunde

Spis treści

1. Fourier series on T; 2. The convergence of Fourier series; 3. The conjugate function; 4. Interpolation of linear operators; 5. Lacunary series and quasi-analytic classes; 6. Fourier transforms on the line; 7. Fourier analysis on locally compact Abelian groups; 8. Commutative Banach algebras; A. Vector-valued functions; B. Probabilistic methods.