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Topics in Harmonic Analysis and Ergodic Theory
120,10 €
American Mathematical Society
Sivumäärä: 228 sivua
Asu: Pehmeäkantinen kirja
Painos: illustrated Edition
Julkaisuvuosi: 2007, 30.10.2007 (lisätietoa)
Kieli: Englanti
There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. The breakthrough achieved by Tao and Green is attributed to applications of techniques from ergodic theory and harmonic analysis to problems in number theory. Articles in the present volume are based on talks delivered by plenary speakers at a conference on Harmonic Analysis and Ergodic Theory (DePaul University, Chicago, December 2-4, 2005). Of ten articles, four are devoted to ergodic theory and six to harmonic analysis, although some may fall in either category. The articles are grouped in two parts arranged by topics. Among the topics are ergodic averages, central limit theorems for random walks, Borel foliations, ergodic theory and low pass filters, data fitting using smooth surfaces, Nehari's theorem for a polydisk, uniqueness theorems for multi-dimensional trigonometric series, and Bellman and $s$-functions.In addition to articles on current research topics in harmonic analysis and ergodic theory, this book contains survey articles on convergence problems in ergodic theory and uniqueness problems on multi-dimensional trigonometric series.

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Helsinki
Tapiola
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Tampere
Topics in Harmonic Analysis and Ergodic Theory
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ISBN:
9780821842355
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