Metrics on the Phase Space and Non Selfadjoint Pseudo Differential Operators is popular PDF and ePub book, written by Nicolas Lerner in 2011-01-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Metrics on the Phase Space and Non Selfadjoint Pseudo Differential Operators can be Read Online from any device for your convenience.
Metrics on the Phase Space and Non Selfadjoint Pseudo Differential Operators Book PDF Summary
This book is devoted to the study of pseudo-di?erential operators, with special emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. We have tried here to expose the most recent developments of the theory with its applications to local solvability and semi-classical estimates for non-selfadjoint operators. The?rstchapter,Basic Notions of Phase Space Analysis,isintroductoryand gives a presentation of very classical classes of pseudo-di?erential operators, along with some basic properties. As an illustration of the power of these methods, we give a proof of propagation of singularities for real-principal type operators (using aprioriestimates,andnotFourierintegraloperators),andweintroducethereader to local solvability problems. That chapter should be useful for a reader, say at the graduate level in analysis, eager to learn some basics on pseudo-di?erential operators. The second chapter, Metrics on the Phase Space begins with a review of symplectic algebra, Wigner functions, quantization formulas, metaplectic group and is intended to set the basic study of the phase space. We move forward to the more general setting of metrics on the phase space, following essentially the basic assumptions of L. H ̈ ormander (Chapter 18 in the book [73]) on this topic.
Detail Book of Metrics on the Phase Space and Non Selfadjoint Pseudo Differential Operators PDF
- Author : Nicolas Lerner
- Release : 30 January 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783764385101
- Genre : Mathematics
- Total Page : 408 pages
- Language : English
- PDF File Size : 7,9 Mb
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