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作者 Fischer, Veronique, author
書名 Quantization on nilpotent lie groups / Veronique Fischer, Michael Ruzhansky
出版項 Switzerland : Birkhäuser, [2016]
國際標準書號 3319295578
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA387 F57 2016    在架上    30340200547580
說明 xiii, 557 pages ; 25 cm
系列 Progress in mathematics, 0743-1643 ; volume 314
Progress in mathematics (Boston, Mass.) ; v. 314
附註 "Open Access."
Includes bibliographical references (pages 535-551) and index
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
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
主題 Nilpotent Lie groups
Alt Author Ruzhansky, M. (Michael), author
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