Quantization on nilpotent Lie group

Veronique Fischer, Ruzhansky Michael

Research output: Book/Report › Book

Abstract

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.
Original languageEnglish
PublisherBirkhäuser
Number of pages557
Volume314
EditionProgress in Mathematics
ISBN (Electronic)978-3-319-29558-9
ISBN (Print)978-3-319-29557-2
Publication statusPublished - Apr 2016

Fingerprint

Nilpotent Lie Group
Quantization
Homogeneous Groups
Compact Lie Group
Heisenberg Group
Sobolev Spaces
Operator

Cite this

Fischer, V., & Michael, R. (2016). Quantization on nilpotent Lie group. (Progress in Mathematics ed.) Birkhäuser.

Quantization on nilpotent Lie group. / Fischer, Veronique; Michael, Ruzhansky.

Progress in Mathematics ed. Birkhäuser, 2016. 557 p.

Research output: Book/Report › Book

Fischer, V & Michael, R 2016, Quantization on nilpotent Lie group. vol. 314, Progress in Mathematics edn, Birkhäuser.
Fischer V, Michael R. Quantization on nilpotent Lie group. Progress in Mathematics ed. Birkhäuser, 2016. 557 p.
Fischer, Veronique ; Michael, Ruzhansky. / Quantization on nilpotent Lie group. Progress in Mathematics ed. Birkhäuser, 2016. 557 p.
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