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Quantization on Nilpotent Lie Groups (Hardcover) (Veronique Fischer & Michael Ruzhansky)

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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 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.

Genre: Mathematics
Sub-Genre: Mathematical Analysis, Group Theory, Functional Analysis
Series Title: Progress In Mathematics (BIRKHAUSER BOSTON)
Format: Hardcover
Publisher: Springer Verlag
Author: Veronique Fischer & Michael Ruzhansky
Language: English
Street Date: March 22, 2016
TCIN: 51158219
UPC: 9783319295572
Item Number (DPCI): 248-17-0133

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