## Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration ApproachA 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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Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional ... Michael Demuth,Jan A. van Casteren No preview available - 2012 |