This volume illuminates the depth and variety of analysis of partial differential equations. It begins with a survey on the use of semi-classical analysis and operator theory, before going on to present the perturbation theory for generators of Markov semigroups acting on Lp. The third section provides a self-contained introduction to continuous wavelet analysis, including its relations to function spaces and microlocal regularity. Finally, the text explores pseudo-differential analysis on singular configurations, with special emphasis on C-algebra techniques, Merlin operators, and analytical index formulas.
"synopsis" may belong to another edition of this title.
This volume illuminates the depth and variety of analysis of partial differential equations. It begins with a survey on the use of semi-classical analysis and operator theory, before going on to present the perturbation theory for generators of Markov semigroups acting on Lp. The third section provides a self-contained introduction to continuous wavelet analysis, including its relations to function spaces and microlocal regularity. Finally, the text explores pseudo-differential analysis on singular configurations, with special emphasis on C-algebra techniques, Merlin operators, and analytical index formulas.
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
"About this title" may belong to another edition of this title.
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