Name: Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach (en Inglés)
Price: 500.60 PEN
Availability: InStock
Author: Demuth, Michael ; Van Casteren, Jan A.
ISBN: 9783034895774

portada Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach (en Inglés)

Formato

Libro Físico

Autor

Michael Demuth

Jan A. Van Casteren

Editorial

Birkhauser

Idioma

Inglés

N° páginas

463

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.5 cm

Peso

0.67 kg.

ISBN13

9783034895774

Categorías

Cálculo
Análisis funcional y transformaciones
Probabilidad y estadística

Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach (en Inglés)

Michael Demuth (Autor) · Jan A. Van Casteren (Autor) · Birkhauser · Tapa Blanda

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Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach (en Inglés)"

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.