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The Lvy 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 Lvy-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 Lvy Laplacian and the symmetrized Lvy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lvy Laplacians and to Lvy-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.
- Format: Inbunden
- ISBN: 9780521846226
- Språk: Engelska
- Antal sidor: 160
- Utgivningsdatum: 2005-11-01
- Förlag: Cambridge University Press