Quantization on Nilpotent Lie Groups

Quantization on Nilpotent Lie Groups

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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 a...

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Bibliographic Details
Main Authors: Fischer, Veronique (Author), Ruzhansky, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edition:1st ed. 2016.
Series:Progress in Mathematics, 314
Subjects:
Topological groups.
Lie groups.
Harmonic analysis.
Functional analysis.
Mathematical physics.
Topological Groups and Lie Groups.
Abstract Harmonic Analysis.
Functional Analysis.
Mathematical Physics.
Online Access:Link to Metadata
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Table of Contents:
  • 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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