Contemporary Mathematics 2007; 228 pp; softcover Volume: 444 ISBN10: 0821842358 ISBN13: 9780821842355 List Price: US$75 Member Price: US$60 Order Code: CONM/444
 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 24, 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 multidimensional 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 multidimensional trigonometric series. Readership Research mathematicians interested in harmonic analysis, ergodic theory, and their interaction. Table of Contents  A. I. Zayed  Topics in ergodic theory and harmonic analysis: An overview
 J. Rosenblatt  The mathematical work of Roger Jones
 Y. Derriennic and M. Lin  The central limit theorem for random walks on orbits of probability preserving transformations
 R. F. Gundy  Probability, ergodic theory, and lowpass filters
 D. J. Rudolph  Ergodic theory on Borel foliations by \(\mathbb{R}^n\) and \(\mathbb{Z}^n\)
 G. V. Welland  Short review of the work of Professor J. Marshall Ash
 J. M. Ash and G. Wang  Uniqueness questions for multiple trigonometric series
 C. Fefferman  Smooth interpolation of functions on \(\mathbb{R}^n\)
 P. A. Hagelstein  Problems in interpolation theory related to the almost everywhere convergence of Fourier series
 M. T. Lacey  Lectures on Nehari's theorem on the polydisk
 L. Slavin and A. Volberg  The \(s\)function and the exponential integral
