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

by Jan A. Van Casteren, Michael Demuth, Jan A. van Casteren

Book Overview

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. For such operators regular and singular perturbations of order zero and their spectral properties are investigated.
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• Format: Hardcover
• Language: English
• ISBN: 3764358874
• ISBN13: 9783764358877
• Release Date: July 2000
• Publisher: Birkhauser
• Length: 463 Pages
• Weight: 1.86 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"