Cambridge Tracts in Mathematics: The Levy Laplacian Series Number 166 (Hardback)
  • Cambridge Tracts in Mathematics: The Levy Laplacian Series Number 166 (Hardback)
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Cambridge Tracts in Mathematics: The Levy Laplacian Series Number 166 (Hardback)

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£67.00
Hardback 160 Pages / Published: 24/11/2005
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The 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.

Publisher: Cambridge University Press
ISBN: 9780521846226
Number of pages: 160
Weight: 410 g
Dimensions: 229 x 152 x 13 mm


MEDIA REVIEWS
Review of the hardback: '... a nicely written book ...' Zentralblatt MATH
"... the book has been carefully written to facilitate access to the material, and although it is compact, it is full of important results on the Levy Laplacian and its related topics investigated during the last forty years. In conclusion the reviewer would like to recommend the present book to graduate students and researchers in functional analysis, partial differential equations and probability theory." Mathematical Reviews

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