Progress in Mathematics

Fischer, Veronique; Ruzhansky, Michael

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.

Details

Published by: Birkhäuser

Publication Date: 2016-03-22

Format: Hardcover

ISBN-13: 9783319295572

DOI: 10.1007/978-3-319-29558-9

Dimensions: 235cm x155cm

Pages: 557