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Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach
Hardcover
Series: Probability and Its Applications (Duplicate)
Medical ReferenceGeneral MathematicsProbability & Statistics
ISBN13: 9783764358877
Publisher: Birkhauser
Published: Jul 27 2000
Pages: 463
Weight: 1.86
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English
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.
The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory.
1 different editions
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Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach
Van Casteren, Jan A.
Demuth, Michael
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Demuth, Michael
Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach
Van Casteren, Jan A.
Demuth, Michael
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