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The Levy Laplacian

The Levy Laplacian

Paperback

Series: Cambridge Tracts in Mathematics, Book 166

CalculusGeneral Mathematics

ISBN10: 0521183847
ISBN13: 9780521183840
Publisher: Cambridge University Press
Published: Feb 17 2011
Pages: 160
Weight: 0.54
Height: 0.37 Width: 6.00 Depth: 9.00
Language: English
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 was 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.

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Calculus