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Quantization on Nilpotent Lie Groups / by Veronique Fischer, Michael Ruzhansky

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Progress in mathematics ; 314Publisher: [Cham] : Birkhäuser, [2016]Copyright date: © 2016Description: 1 Online-Ressource (XIII, 557 Seiten) : IllustrationISBN:
  • 9783319295589
Subject(s): Additional physical formats: 9783319295572 | Erscheint auch als: Quantization on nilpotent Lie groups. Druck-Ausgabe [Basel] : Birkhäuser, 2016. xiii, 557 SeitenDDC classification:
  • 512.55 23
  • 512.482 23
MSC: MSC: *22-02 | 22E25 | 22C05 | 35S99RVK: RVK: SA 1055LOC classification:
  • QA252.3
  • QA387
  • QA252.3 QA387
DOI: DOI: 10.1007/978-3-319-29558-9Online resources: Summary: 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 Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer PrizeSummary: 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 -- IndexPPN: PPN: 856174866Package identifier: Produktsigel: ZDB-2-SMA | ZDB-2-SOB | ZDB-2-SXMS | ZDB-2-SEB
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