ENGLISH

Quantization on Nilpotent Lie Groups

By Veronique Fischer , Michael Ruzhansky (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2016
ISBN
978-3-319-29557-2, 978-3-319-29558-9
DOI
10.1007/978-3-319-29558-9
Language
english
Format
PDF
Filesize
5 MB (5429010 bytes)
Series
Progress in Mathematics 314
Edition
1
Pages
XIII, 557\568
Time added
2016-03-14 21:35:01
Lie Groups; Abstract Harmonic Analysis; FunctionalTopological Groups

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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