Michael Demuth

Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach - Probability and Its Applications Michael Demuth Softcover reprint of the original 1st ed. 2000 edition

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.