Quantization on Nilpotent Lie Groups

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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Main Authors: Fischer, Veronique, Ruzhansky, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Progress in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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