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Stochastic Spectral Theory for Selfadjoint Feller Operators: A functional integration approach (Probability and its Applications) [Hardcover]

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Item description for Stochastic Spectral Theory for Selfadjoint Feller Operators: A functional integration approach (Probability and its Applications) by Michael Demuth...

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.
A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems.
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.





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Item Specifications...


Pages   463
Est. Packaging Dimensions:   Length: 9.2" Width: 6.2" Height: 1.1"
Weight:   2.1 lbs.
Binding  Hardcover
Release Date   Sep 6, 2000
Publisher   Birkhäuser Basel
ISBN  3764358874  
ISBN13  9783764358877  


Availability  131 units.
Availability accurate as of May 27, 2017 04:35.
Usually ships within one to two business days from La Vergne, TN.
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More About Michael Demuth


Register your artisan biography and upload your photo! Michael Demuth was born in 1946 and has an academic affiliation as follows - Technical University of Clausthal, Germany.

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1Books > Subjects > Medicine > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Statistics
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8Books > Subjects > Science > Mathematics > Mathematical Analysis
9Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Linear
10Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus



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