The Lévy Laplacian
The Lévy LaplacianByM. N. Feller
Publisher:C U P2005 |160 Pages | ISBN: 0521846226 | PDF | 2 MB
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 2005 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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Laplace Operators Dimensional Analogues Dimensional Generalization Laplace Operator Partial Differential Equations Probability Theory Random Field Systematic Treatment Nonlinear Equations Functional Analysis Field Theory Feller Gauss Differential Bibliogr
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