Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach

by Michael Demuth, Jan A. van Casteren

In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.

475 pages, Paperback

First published July 27, 2000