Quantization on Nilpotent Lie Groups [electronic resource]

• Tác giả: Veronique Fischer, Michael Ruzhansky
• Ngôn ngữ: eng
• ISBN: 9783319295572 (print)
• ISBN-13: 978-3319295589
• Ký hiệu phân loại: 512.482 Lie algebras and groups both formerly 512.55
• Thông tin xuất bản: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016
• Mô tả vật lý: XIII, 557 p. 1 illus. in color. , online resource.
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 117404
• Chủ đề: 1. Functional analysis; 2. Harmonic analysis; 3. Lie groups; 4. Mathematical physics; 5. Mathematics; 6. Topological groups

Tóm tắt

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.