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.

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...

Πίνακας περιεχομένων:

• Preface
• Introduction
• Notation and conventions
• 1 Preliminaries on Lie groups
• 2 Quantization on compact Lie groups
• 3 Homogeneous Lie groups
• 4 Rockland operators and Sobolev spaces
• 5 Quantization on graded Lie groups
• 6 Pseudo-differential operators on the Heisenberg group
• A Miscellaneous
• B Group C* and von Neumann algebras
• Schrödinger representations and Weyl quantization
• Explicit symbolic calculus on the Heisenberg group
• List of quantizations
• Bibliography
• Index.