Harmonic Analysis and Discrete Potential Theory

Buch | Softcover

302 Seiten

2013 | Softcover reprint of the original 1st ed. 1992
Springer-Verlag New York Inc.
978-1-4899-2325-7 (ISBN)

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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.

Compactifications Determined by a Polyhedral Cone Decomposition of ?n.- Maximal Functions at Infinity for Poisson Integrals on N A.- Potential at Infinity on Symmetric Spaces and Martin Boundary.- On Rough Maximal Operators and Weak Type (1, 1) Estimates for Convolutions.- Laplace’s Method, Stationary Phase, Saddle Points, and a Theorem of Lalley.- Besov Spaces on Non-homogeneous Martingales.- Boundary Representations of the Free Group, I.- Boundary Representations of the Free Group, II.- Negative Definite Kernels on Trees.- Positive and Negative Definite Kernels on Trees.- Probabilistic Methods for Ultracontractivity.- Remarks on Amenability of Discrete Hypergroups.- Measure-Theoretic Boundaries of Markov Chains, 0–2 Laws and Entropy.- Perturbations of Operators, Connections with Singular Integrals, Hyperbolicity and Entropy.- Isoperimetric Inequalities for Capacities.- Sobolev Inequalities on Graphs and on Manifolds.- Potential Theory on non Unimodular Groups.- Harmonic Analysis of Random Walks on the Daisy Library Graph.- The Rate of Escape of a Polynomial Random Walk on ?2.- Random Walks on ?-Networks.- ‘Trees, Ends, and Transience.- ‘On the Harmonic Measure of Self-Similar Sets on the Plane.- Sharp Estimates for the Entropy.- Asymptotic Properties of Unitary Representations of Tree Automorphisms.- Contributors.

Zusatzinfo	VIII, 302 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis
ISBN-10	1-4899-2325-X / 148992325X
ISBN-13	978-1-4899-2325-7 / 9781489923257
Zustand	Neuware