Title Potential theory on infinite-dimensional Abelian groups / Alexander Bendikov ; translated from the Russian by Carol Regher

Published Berlin ; New York : Walter de Gruyter, 1995

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Description 1 online resource (vi, 184 pages) Series De Gruyter studies in mathematics ; 21 De Gruyter studies in mathematics ; 21. Contents Chapter 1. Introduction; Chapter 2. Elements of potential theory; 2.1 Notation; 2.2 Harmonic and hyperharmonic sheaves; 2.3 The generalized Dirichlet problem; 2.4 Harmonic spaces; 2.5 Brelot and Bauer spaces; 2.6 Smooth Bauer spaces; 2.7 Markov processes; 2.8 Markov processes on harmonic spaces; 2.9 Probability interpretations; 2.10 Duality; Chapter 3. Markov processes and harmonic structures; 3.1 Markov processes and Brelot spaces; 3.2 Markov processes and Bauer spaces; 3.3 Projective sequences of harmonic spaces: examples, definitions, statements of theorems Summary Potential Theory On Infinite-Dimensional Abelian Groups (De Gruyter Studies In Mathematics) Bibliography Includes bibliographical references (pages 175-181) and index Notes Translation of: Veroiatnostnaia teoriia potentsiala na beskonechnomernykh abelevykh gruppakh Subject Abelian groups. Potential theory (Mathematics) Potential theory (Physics) MATHEMATICS -- Probability & Statistics -- Stochastic Processes. Potential theory (Physics) Abelian groups Potential theory (Mathematics) Form Electronic book ISBN 9783110876840 3110876841

Other Titles Veroi-Łatnostnai-Ła teorii-Ła potent-Łsiala na beskonechnomernykh abelevykh gruppakh. English

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