Contents

Preface vii

List of Participants

IX

Topics in Ergodic Theory and Harmonic Analysis: An Overview

AHMED I. ZA YED 1

The mathematical work of Roger Jones

JOSEPH ROSENBLATT 9

The Central Limit Theorem for Random Walks on Orbits of Probability

Preserving Transformations

YVES DERRIENNIC and MICHAEL LIN 31

Probability, Ergodic Theory, and Low-Pass Filters

RICHARD F. GUNDY 53

Ergodic Theory on Borel Foliations by

JRn

and

zn

DANIEL J. RUDOLPH 89

Short review of the work of Professor J. Marshall Ash

GRANT V WELLAND 115

Uniqueness questions for multiple trigonometric series

J. MARSHALL ASH and GANG WANG 129

Smooth interpolation of functions on

JRn

CHARLES FEFFERMAN 167

Problems in interpolation theory related to the almost everywhere convergence

of Fourier series

PAUL ALTON HAGELSTEIN 175

Lectures on Nehari's Theorem on the Polydisk

MICHAEL T. LACEY 185

The s-function and the exponential integral

LEONID SLAVIN and ALEXANDER VOLBERG 215

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