Format:
1 Online-Ressource (XIII, 557 Seiten)
,
Illustration
Edition:
Springer eBook Collection. Mathematics and Statistics
ISBN:
9783319295589
Series Statement:
Progress in Mathematics 314
Content:
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 Prize
Content:
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
Note:
Open Access
,
Titelzusatz auf dem Umschlag: Ferran Sunyer i Balaguer Award winning monograph
Additional Edition:
ISBN 9783319295572
Additional Edition:
Erscheint auch als Druck-Ausgabe Fischer, Veronique Quantization on nilpotent Lie groups [Basel] : Birkhäuser, 2016 ISBN 9783319295572
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-319-29558-9
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(kostenfrei)
Author information:
Ruzhansky, Michael 1972-
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