The Levy Laplacian
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Levy Laplacian by M. N. Feller
Book DescriptionThe Levy 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 Levy-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 Levy Laplacian and the symmetrized Levy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Levy Laplacians and to Levy-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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Book DetailsISBN: 9780521846226
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Nov-2005
Country of Publication: United Kingdom
Books By Author M. N. Feller
Levy Laplacian, Paperback (February 2011)» View all books by M. N. Feller
This text was the first book on the Levy Laplacian that generalized classical work and could be widely applied.
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