Quantization on Nilpotent Lie Groups

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  • Quantization on Nilpotent Lie Groups Book Detail

  • Author : Veronique Fischer
  • Release Date : 2016-03-08
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 568
  • ISBN 13 : 3319295586
  • File Size : 56,56 MB

Quantization on Nilpotent Lie Groups by Veronique Fischer PDF Summary

Book Description: 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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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 thei

Nilpotent Lie Algebras

Nilpotent Lie Algebras

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This volume is devoted to the theory of nilpotent Lie algebras and their applications. Nilpotent Lie algebras have played an important role over the last years