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Titlebook: Pseudo-Differential Operators and Symmetries; Background Analysis Michael Ruzhansky,Ville Turunen Textbook 2010 Birkhäuser Basel 2010 Lie

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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Titlebook: Pseudo-Differential Operators and Symmetries; Background Analysis  Michael Ruzhansky,Ville Turunen Textbook 2010 Birkhäuser Basel 2010 Lie
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
doihttps://doi.org/10.1007/978-3-7643-8514-9
isbn_softcover978-3-7643-8513-2
isbn_ebook978-3-7643-8514-9Series ISSN 2297-0355 Series E-ISSN 2297-0363
issn_series 2297-0355
copyrightBirkhäuser Basel 2010
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