Quantization on Nilpotent Lie Groups

• Κύριοι συγγραφείς: Fischer, Veronique (Συγγραφέας), Ruzhansky, Michael (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: Progress in Mathematics, 314
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Harmonic analysis.; Functional analysis.; Mathematical physics.; Topological Groups, Lie Groups.; Abstract Harmonic Analysis.; Functional Analysis.; Mathematical Physics.
• Φυσική περιγραφή: XIII, 557 p. 1 illus. in color. online resource.
• ISBN: 9783319295589
• ISSN: 0743-1643 ;
• Πρόσβαση: Open Access

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.