Pseudo-differential operators and symmetries : background analysis and advanced topics

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 p...

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Główni autorzy: Ruzhansky, Michael, 19..-, Turunen, Ville (Autor)
Format: Livre numérique
Język:Anglais
Wydane: Basel : Birkhäuser Basel : Springer e-books [20..].
Cham : Springer Nature
Seria:Pseudo-Differential Operators, Theory and Applications 2
Dostęp online:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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Komentarz: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Pseudo-differential operators and symmetries, background analysis and advanced topics, [Volume 2], Michael Ruzhansky, Ville Turunen, Basel, Birkhäuser, 2010, 1 vol. (xiv-709 p.), 978-3-7643-8513-2
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505 1 |a Foundations of Analysis Sets, Topology and Metrics Elementary Functional Analysis Measure Theory and Integration Algebras Commutative Symmetries Fourier Analysis on ?n Pseudo-differential Operators on ?n Periodic and Discrete Analysis Pseudo-differential Operators on Commutator Characterisation of Pseudo-differential Operators Representation Theory of Compact Groups Groups Topological Groups Linear Lie Groups Hopf Algebras Non-commutative Symmetries Pseudo-differential Operators on Compact Lie Groups Fourier Analysis on SU(2) Pseudo-differential Operators on SU(2) Pseudo-differential Operators on Homogeneous Spaces 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
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