Quantization on Nilpotent Lie Groups

Progress in Mathematics

Veronique Fischer ; Michael Ruzhansky

keywords: topological groups;    lie groups;    abstract harmonic analysis;    functional analysis;    mathematical physics;    statistics;   

Publisher: Springer

Subject:统计和概率

【 摘 要 】

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.

【 授权许可】

CC BY   

【 图 表 】

Quantization on Nilpotent Lie Groups.jpg