Quantization on Nilpotent lie groups

• 作者： Fischer, Veronique, author.
• 其他作者：
  • Ruzhansky, Michael, author.
  • SpringerLink (Online service)
• 其他題名：
  • Progress in mathematics ;
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Progress in mathematics,volume 314
• 主題： Nilpotent Lie groups. , Mathematics. , Topological Groups, Lie Groups. , Abstract Harmonic Analysis. , Functional Analysis. , Mathematical Physics.
• ISBN： 9783319295589 (electronic bk.) 、 9783319295572 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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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• 摘要註: 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.
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