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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 their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the a...

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Detaylı Bibliyografya
Asıl Yazarlar: Fischer, Veronique (Yazar), Ruzhansky, Michael (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: Elektronik Ekitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edisyon:1st ed. 2016.
Seri Bilgileri:Progress in Mathematics, 314
Konular:
Topological groups.
Lie groups.
Harmonic analysis.
Functional analysis.
Mathematical physics.
Topological Groups and Lie Groups.
Abstract Harmonic Analysis.
Functional Analysis.
Mathematical Physics.
Online Erişim:Link to Metadata
Etiketler: Etiketle
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Diğer Bilgiler
Özet: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.
Fiziksel Özellikler:XIII, 557 p. 1 illus. in color. online resource.
ISBN:9783319295589
ISSN:2296-505X ;
DOI:10.1007/978-3-319-29558-9
Erişim:Open Access

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