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Levy Laplacian

By: M. N. Feller (Author)

Ksh 14,400.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511131448

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: November 13th, 2005

Country of Publication: GB

Language: English

Physical Edition EAN: 9780521846226

Category: Functional analysis & transforms , Differential calculus & equations

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  • Description

  • Author Bio

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.

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