Harmonic Analysis and Discrete Potential Theory

ISBN-13: 9780306442254 / Angielski / Twarda / 1992 / 302 str.

M. a. Picardello; Massimo A. Picardello

Opis

This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata," and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata." Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata," and by a generous contribution of the Centro "Vito Volterra." I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S. S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J.

Spis treści

Compactifications Determined by a Polyhedral Cone Decomposition of Rn; J.C. Taylor. Maximal Functions at Infinity for Poisson Integrals on NA; A. Hulanicki. Potential at Infinity on Symmetric Spaces and Martin Boundary; M. Babillot. On Rough Maximal Operators and Weak Type Estimates for Convolutions; P. Sjögren. Laplace's Method, Stationary Phase, Saddle Points, and a Theorum of Lalley; S. Sawyer. Besov Spaces on Non-Homogeneous Martingales; C. Gu, M. Taibleson. Boundary Representations of the Free Group, I; G. Kuhn, T. Steger. Boundary Representations of the Free Group, II; G. Kuhn, T. Steger. Negative Definite Kernels on Trees; W. Mlotkowski. Méthodes probabilistes pour l'ultracontractivité; B. Roynette. Remarks on Amenability of Discrete Hypergroups; M.O. Gebuhrer. Measure-Theoretic Boundaries of Markov Chains, 02 Laws, Entropy; V.A. Kaimanovich. 10 additional articles. Index.