Sinossi
This self-contained monograph includes all the necessary background material and develops a global quantization theory of pseudo-differential operators on compact Lie groups. It takes a novel approach by using the available global symmetries of the space.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
From the reviews:
“This book presents recent results on the global theory of pseudo-differential operators on compact Lie groups along with a bulk of background material. ... this very welcomed book is a profitable read for specialists and―due to the included background material, which makes it self-contained―also for graduate students.” (R. Steinbauer, Monatshefte für Mathematik, 2013)
“The present book is devoted to the theory of pseudodifferential operators on spaces with symmetries ... . Summing up, this welcome book is nicely written and looks very appealing for researchers in the fields of Euclidean and abstract harmonic analysis and pseudodifferential operators, as well as for any Ph.D. student interested in those topics.” (Fabio Nicola, Mathematical Reviews, Issue 2011 b)
“The book is devoted to a global theory of pseudo-differential operators on compact Lie groups. ... In the whole, including background material and new results about operators on Lie groups, the book offers a pleasant and profitable reading to graduate students and specialists.” (Luigi Rodino, Zentralblatt MATH, Vol. 1193, 2010)
Contenuti
Preface.- Introduction.- Part I Foundations of Analysis.- A Sets, Topology and Metrics.- B Elementary Functional Analysis.- C Measure Theory and Integration.- D Algebras.- Part II Commutative Symmetries.- 1 Fourier Analysis on Rn.- 2 Pseudo-differential Operators on Rn.- 3 Periodic and Discrete Analysis.- 4 Pseudo-differential Operators on Tn.- 5 Commutator Characterisation of Pseudo-differential Operators.- Part III Representation Theory of Compact Groups.- 6 Groups.- 7 Topological Groups.- 8 Linear Lie Groups.- 9 Hopf Algebras.- Part IV Non-commutative Symmetries.- 10 Pseudo-differential Operators on Compact Lie Groups.- 11 Fourier Analysis on SU(2).- 12 Pseudo-differential Operators on SU(2).- 13 Pseudo-differential Operators on Homogeneous Spaces.- Bibliography.- Notation.- Index.
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Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics
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Pseudo-differential operators and symmetries. background analysis and advanced topics.
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24 cm. original paperback. xiv,710 pp. bibliography. index. "Pseudo-differential operators. Vol. 2". -(few signs of use, otherwise (very) good). 1395g. Codice articolo 72547
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Pseudo-Differential Operators and Symmetries
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Birkhäuser Basel Okt 2009, 2009
ISBN 10: 3764385138
ISBN 13: 9783764385132
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use. 728 pp. Englisch. Codice articolo 9783764385132
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Pseudo-Differential Operators and Symmetries
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides an easy-to-read introduction to the theory of pseudo-differential operators and its more advanced aspectsContains a collection of necessary analytic tools which makes it excellent as a textbook on the subjectUniquely combines diffe. Codice articolo 5279850
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Pseudo-Differential Operators and Symmetries
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Condizione: New. This self-contained monograph includes all the necessary background material and develops a global quantization theory of pseudo-differential operators on compact Lie groups. It takes a novel approach by using the available global symmetries of the space. Series: Pseudo-Differential Operators. Num Pages: 710 pages, biography. BIC Classification: PBF; PBKJ. Category: (P) Professional & Vocational. Dimension: 239 x 170 x 25. Weight in Grams: 1386. . 2009. Paperback. . . . . Codice articolo V9783764385132
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Pseudo-Differential Operators and Symmetries
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ISBN 10: 3764385138
ISBN 13: 9783764385132
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 728 pp. Englisch. Codice articolo 9783764385132
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Taschenbuch. Condizione: Neu. Pseudo-Differential Operators and Symmetries | Background Analysis and Advanced Topics | Ville Turunen (u. a.) | Taschenbuch | xiv | Englisch | 2009 | Birkhäuser | EAN 9783764385132 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 101682222
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use. Codice articolo 9783764385132
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