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Record Nr. |
UNINA9910136809103321 |
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Autore |
Fischer Veronique |
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Titolo |
Quantization on Nilpotent Lie Groups [[electronic resource] /] / by Veronique Fischer, Michael Ruzhansky |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (XIII, 557 p. 1 illus. in color.) |
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Collana |
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Progress in Mathematics, , 0743-1643 ; ; 314 |
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Disciplina |
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Soggetti |
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Topological groups |
Lie groups |
Harmonic analysis |
Functional analysis |
Mathematical physics |
Topological Groups, Lie Groups |
Abstract Harmonic Analysis |
Functional Analysis |
Mathematical Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-differential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index. |
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Sommario/riassunto |
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This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded |
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