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Schroedinger Operators, Markov Semigroups, Wavelet Analysis, Operator Algebras: Advances in Partial Differential Equations (Mathematical topics) - Hardcover
Synopsis
The analysis of partial differential equations has stimulated large areas of research in mathematical physics, harmonic analysis, and operator theory. The present volume seeks to illuminate the depth and variety of these interactions. It begins with a survey on the use of semiclassical analysis and maximum-principle techniques in statistical mechanics. There follows an article presenting the perturbation theory for generators of Markov semigroups acting on Lp. The third contribution provides a self-contained introduction to continuous wavelet analysis, including its relations to function spaces and microlocal regularity; this should be of particular interest, as wavelet methods have been applied with great success in the 1990s to problems in harmonic and numerical analysis as well as in diverse fields of engineering. The final section explores pseudo-differential analysis on singular configurations, with special emphasis on C*-algebra techniques, Mellin operators, and analytical index formulas.
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About the Author
Editors' affiliations:
Michael Demuth, Professor, Technical University of Clausthal; Elmar Schrohe, Dr. habil., Max Planck Research Group for Partial Differential Equations and Complex Analysis, University of Potsdam; Bert-Wolfgang Schulze, Professor, University of Potsdam,
Max Planck Research Group for Partial Differential Equations and Complex Analysis; Johannes Sj?strand, Professor, Ecole Polytechnique, Palaiseau
From the Back Cover
The analysis of partial differential equations has stimulated large areas of research in mathematical physics, harmonic analysis, and operator theory. The present volume illuminates the depth and variety of these interactions. It begins with a survey on the use of semiclassical analysis and maximum-principle techniques in statistical mechanics. There follows an article presenting the perturbation theory for generators of Markov semigroups acting on Lp. The third contribution provides a self-contained introduction to continuous wavelet analysis, including its relations to function spaces and microlocal regularity; this is particularly topical, as wavelet methods have been applied with great success in the past decade to problems in harmonic and numerical analysis as well as in diverse fields of engineering. The final section explores pseudo-differential analysis on singular configurations, with special emphasis on C*-algebra techniques, Mellin operators, and analytical index formulas.
"About this title" may belong to another edition of this title.
- PublisherWiley-VCH Verlag GmbH
- Publication date1999
- ISBN 10 3527400850
- ISBN 13 9783527400850
- BindingHardcover
- LanguageEnglish
- Number of pages405
- EditorDemuth M., Et Al
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