Semiclassical Analysis Wavelets, Operator Algebras, Markov Semigroups: Advances in Partial Differential Equations: Vol 10 (Mathematical topics) - Tapa blanda

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.