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Potential Theory by Marcel Brelot (auth.), Prof. M. Brelot (eds.) is a nonfiction available to read on EtoBox.

What is Potential Theory about?

Potential Theory 2 Copyright Page 3 Contents 4 Historical Introduction 6 1. Old Period (till the first World War) : Ideas of Gauss-Dirichlet 6 2. Second period ( essentially that between the wars) : Use of Radon measure 7 3. Third period (about 1940-1955) : Role of topologies and extreme elements, energy and Schwartz distributions 9 4. Modern period (from 1955) : Probabilistic interpretation, Hunt's kernels, axiomatics of harmonic and superharmonic functions, Dirichlet spaces, boundary behaviour of functions 13 Short Bibliography 20 Harmonic Spaces and Associated Markov Processes 26 1. Harmonic spaces 28 2. Basic potential-theoretics facts 31 3. Kernels and dominant functions 38 4. Semigroups and excessive functions 48 5. Semigroups and Markov processes 51 6. Some facts about the potential theory of a Hunt process 55 7. Probabilistic interpretation of some potential-theoretic notions 58 Bibliography 67 Operateurs Elliptiques Degeneres Associes Aux Axiomatiques De La Theorie Du Potentiel 70 I. Opérateur différentiel associé à une axiomatique 73 II. Unicité de l'opérateur différentiel associé à une axiomatique 80 III. Axiomes de convergence et forme des opérateurs associés 85 IV. Pro

Who reads Potential Theory?

Author

Marcel Brelot (auth.), Prof. M. Brelot (eds.)

Publisher

Springer

Published

2011

Language

EN

Category

nonfiction