The Lévy Laplacian

M. N. Feller - Collection Cambridge Tracts in Mathematics

154 pages, parution le 08/12/2005

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Résumé

The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well-developed in recent years and this book is the first systematic treatment of the Lévy-Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy-Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang-Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.

This is only book that is fully devoted to the subject

Author is one of the subject's key developers

The book is complemented by an extensive bibliography

Sommaire

Introduction
The Lévy Laplacian
Lévy-Laplace operators
Symmetric Lévy-Laplace operators
Harmonic functions of infinitely many variables
Linear elliptic and parabolic equations with Lévy Laplacians
Quasilinear and nonlinear elliptic equation with Lévy Laplacians
Nonlinear parabolic equations with Lévy Laplacians
Appendix: Lévy-Dirichlet forms and associated Markov processes
Bibliography notes
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	M. N. Feller
Collection	Cambridge Tracts in Mathematics
Parution	08/12/2005
Nb. de pages	154
Format	15,5 x 23,5
Couverture	Relié
Poids	357g
Intérieur	Noir et Blanc
EAN13	9780521846226
ISBN13	978-0-521-84622-6