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Schroedinger Operators, Markov Semigroups, Wavelet Analysis, Operator Algebras: Advances in Partial Differential Equations (Mathematical topics) - Hardcover
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Inhaltsangabe
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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Über die Autorin bzw. den Autor
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
Von der hinteren Coverseite
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.
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- VerlagWiley-VCH Verlag GmbH
- Erscheinungsdatum1999
- ISBN 10 3527400850
- ISBN 13 9783527400850
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten405
- HerausgeberDemuth M., Et Al
- Kontakt zum HerstellerNicht verfügbar
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