The Lévy Laplacian

The L vy 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 L vy-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 L vy Laplacian and the symmetrized L vy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with L vy Laplacians and to L vy-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.

Author: M. N. Feller
Publisher: Cambridge University Press
Published: 02/17/2011
Pages: 160
Binding Type: Paperback
Weight: 0.54lbs
Size: 9.02h x 5.98w x 0.37d
ISBN: 9780521183840

This title is not returnable