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The Resource Stochastic spectral theory for selfadjoint Feller operators : a functional integration approach, Michael Demuth, Jan A. van Casteren

Stochastic spectral theory for selfadjoint Feller operators : a functional integration approach, Michael Demuth, Jan A. van Casteren

Label
Stochastic spectral theory for selfadjoint Feller operators : a functional integration approach
Title
Stochastic spectral theory for selfadjoint Feller operators
Title remainder
a functional integration approach
Statement of responsibility
Michael Demuth, Jan A. van Casteren
Creator
Contributor
Subject
Language
eng
Summary
"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 scattered 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."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1946-
http://library.link/vocab/creatorName
Demuth, Michael
Dewey number
515.7/246
Illustrations
illustrations
Index
index present
LC call number
QA329.2
LC item number
.D46 2000
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Casteren, J. A. van
Series statement
Probability and its applications
http://library.link/vocab/subjectName
  • Selfadjoint operators
  • Stochastic analysis
  • Spectral theory (Mathematics)
Label
Stochastic spectral theory for selfadjoint Feller operators : a functional integration approach, Michael Demuth, Jan A. van Casteren
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 427-440) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Basic Assumptions of Stochastic Spectral Analysis: Free Feller Operators -- Ch. 2. Perturbations of Free Feller Operators -- Ch. 3. Proof of Continuity and Symmetry of Feynman-Kac Kernels -- Ch. 4. Resolvent and Semigroup Differences for Feller Operators: Operator Norms -- Ch. 5. Hilbert-Schmidt Properties of Resolvent and Semigroup Differences -- Ch. 6. Trace Class Properties of Semigroup Differences -- Ch. 7. Convergence of Resolvent Differences -- Ch. 8. Spectral Properties of Self-adjoint Feller Operators -- App. A. Spectral Theory -- App. B. Semigroup Theory -- App. C. Markov Processes, Martingales and Stopping Times -- App. D. Dirichlet Kernels, Harmonic Measures, Capacities -- App. E. Dini's Lemma, Scheffe's Theorem, Monotone Class Theorem
Control code
44425478
Dimensions
24 cm
Extent
xii, 463 pages
Isbn
9780817658878
Isbn Type
(alk. paper)
Lccn
00044432
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Stochastic spectral theory for selfadjoint Feller operators : a functional integration approach, Michael Demuth, Jan A. van Casteren
Publication
Bibliography note
Includes bibliographical references (pages 427-440) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Basic Assumptions of Stochastic Spectral Analysis: Free Feller Operators -- Ch. 2. Perturbations of Free Feller Operators -- Ch. 3. Proof of Continuity and Symmetry of Feynman-Kac Kernels -- Ch. 4. Resolvent and Semigroup Differences for Feller Operators: Operator Norms -- Ch. 5. Hilbert-Schmidt Properties of Resolvent and Semigroup Differences -- Ch. 6. Trace Class Properties of Semigroup Differences -- Ch. 7. Convergence of Resolvent Differences -- Ch. 8. Spectral Properties of Self-adjoint Feller Operators -- App. A. Spectral Theory -- App. B. Semigroup Theory -- App. C. Markov Processes, Martingales and Stopping Times -- App. D. Dirichlet Kernels, Harmonic Measures, Capacities -- App. E. Dini's Lemma, Scheffe's Theorem, Monotone Class Theorem
Control code
44425478
Dimensions
24 cm
Extent
xii, 463 pages
Isbn
9780817658878
Isbn Type
(alk. paper)
Lccn
00044432
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

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