书目名称 | Pseudo-Differential Operators and Symmetries | 副标题 | Background Analysis | 编辑 | Michael Ruzhansky,Ville Turunen | 视频video | | 概述 | Provides an easy-to-read introduction to the theory of pseudo-differential operators and its more advanced aspects.Contains a collection of necessary analytic tools which makes it excellent as a textb | 丛书名称 | Pseudo-Differential Operators | 图书封面 |  | 描述 | This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp | 出版日期 | Textbook 2010 | 关键词 | Lie group; algebra; homogeneous space; manifold; pseudo-differential operator; quantization; torus; partial | 版次 | 1 | doi | https://doi.org/10.1007/978-3-7643-8514-9 | isbn_softcover | 978-3-7643-8513-2 | isbn_ebook | 978-3-7643-8514-9Series ISSN 2297-0355 Series E-ISSN 2297-0363 | issn_series | 2297-0355 | copyright | Birkhäuser Basel 2010 |
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