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Quantization on Nilpotent Lie Groups
Veronique Fischer and Michael Ruzhansky
2016
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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.
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Keywords
- abstract harmonic analysis
- functional analysis
- lie groups
- mathematical physics
- statistics
- Abstract Harmonic Analysis
- Biochemical engineering
- compact Lie groups
- Economics, finance, business & management
- Functional analysis
- graded Lie groups
- Heisenberg group
- Industry & industrial studies
- Information technology industries
- Manufacturing industries
- Mathematical physics
- Mathematics
- Mathematics & science
- Media, information & communication industries
- Pharmaceutical industries
- Probability & statistics
- pseudo-differential operators
- singular integral operators
- Sobolev spaces
- Technology, engineering, agriculture
- thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KND Manufacturing industries
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
- topological groups
- Topological Groups, Lie Groups
Links
DOI: 10.1007/978-3-319-29558-9web: https://link.springer.com/book/10.1007/978-3-319-29558-9
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