An Introduction to Harmonic Analysis

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Januar 2004



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.


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.


Yitzhak Katznelson received his Ph.D. from the University of Paris. He is currently a Professor of mathematics at Stanford University, and has also taught at University of C alifornia, Berkeley, Hebrew University andYale University. His mathematical interests include harmonic analysis, ergodic theory, and differentiable dyamics


'... the third, revised, edition ... Katznelson managed to improve on a seemingly perfect book!' Nieuw Archif voor Wiskunde
EAN: 9780521838290
ISBN: 0521838290
Untertitel: 'Cambridge Mathematical Library'. Revised. Sprache: Englisch.
Erscheinungsdatum: Januar 2004
Seitenanzahl: 336 Seiten
Format: gebunden
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