Probability and Its Applications

Stochastic Spectral Theory for Selfadjoint Feller Operators

A Functional Integration Approach

Authors: Demuth, Michael, van Casteren, Jan A.

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-0348-8460-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-3-7643-5887-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-3-0348-9577-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (8 chapters)

  • Basic Assumptions of Stochastic Spectral Analysis: Free Feller Operators

    Demuth, Michael (et al.)

    Pages 1-52

  • Perturbations of Free Feller Operators

    Demuth, Michael (et al.)

    Pages 53-102

  • Proof of Continuity and Symmetry of Feynman-Kac Kernels

    Demuth, Michael (et al.)

    Pages 103-128

  • Resolvent and Semigroup Differences for Feller Operators: Operator Norms

    Demuth, Michael (et al.)

    Pages 129-160

  • Hilbert-Schmidt Properties of Resolvent and Semigroup Differences

    Demuth, Michael (et al.)

    Pages 161-204

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-0348-8460-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-3-7643-5887-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-3-0348-9577-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Stochastic Spectral Theory for Selfadjoint Feller Operators
Book Subtitle
A Functional Integration Approach
Authors
Series Title
Probability and Its Applications
Copyright
2000
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-8460-0
DOI
10.1007/978-3-0348-8460-0
Hardcover ISBN
978-3-7643-5887-7
Softcover ISBN
978-3-0348-9577-4
Series ISSN
2297-0371
Edition Number
1
Number of Pages
XII, 463
Topics