Quantization on Nilpotent Lie Groups

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fischer, Veronique (Autor), Ruzhansky, Michael (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Progress in Mathematics, 314
Temas:
Topological groups.
Lie groups.
Harmonic analysis.
Functional analysis.
Mathematical physics.
Topological Groups and Lie Groups.
Abstract Harmonic Analysis.
Functional Analysis.
Mathematical Physics.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XIII, 557 p. 1 illus. in color. online resource.
ISBN:9783319295589
ISSN:2296-505X ;
Acceso:Open Access

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