Ergodic theory and its connection with harmonic analysis
Subtitle: proceedings of the 1993 Alexandria conference
By: edited by Karl E. Petersen and Ibrahim A. Salama.
Contributors: Petersen, Karl Endel, 1943-; Salama, Ibrahim A.; London Mathematical Society.
Series: London Mathematical Society lecture note series ;; 205
Publisher: Cambridge University Press
Published: 1995
Place of publication: Cambridge; New York
Language: eng
Number of pages: 437
Subjects: Ergodic theory -- Congresses.; Harmonic analysis -- Congresses.
Other titles: Ergodic theory and its connections with harmonic analysis
Description: Ergodic theory is a field that is lively on its own and also in its interactions with other branches of mathematics and science. In recent years the interchanges with harmonic analysis have been especially noticeable and productive in both directions. The 1993 Alexandria Conference explored many of these connections as they were developing.

The three survey papers in this book describe the relationships of almost everywhere convergence (J. Rosenblatt and M. Wierdl), rigidity theory (R. Spatzier), and the theory of joinings (J.-P. Thouvenot). These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas.

The book also includes thirteen research papers that describe recent work related to the theme of the conference: several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder discuss almost everywhere convergence and a variety of other topics in dynamics.
Notes: Includes bibliographical references.