| 书目名称 | Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators | | 编辑 | Nicolas Lerner | | 视频video | | | 概述 | A thorough exposition of pseudodifferential calculus defined by metrics on the phase space.Contains a proof of the Nirenberg-Treves conjecture.Construction of counterexamples to “optimal” solvability | | 丛书名称 | Pseudo-Differential Operators | | 图书封面 |  | | 描述 | 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 sp | | 出版日期 | Book 2010 | | 关键词 | Derivative; calculus; differential equation; fourier integral operator; operator theory; ordinary differe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8510-1 | | isbn_softcover | 978-3-7643-8509-5 | | isbn_ebook | 978-3-7643-8510-1Series ISSN 2297-0355 Series E-ISSN 2297-0363 | | issn_series | 2297-0355 | | copyright | Birkhäuser Basel 2010 |
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发表于 2025-3-21 19:57:52
