ENGLISH

Harmonic Analysis on the Heisenberg Group (Progress in Mathematics)

By Sundaram Thangavelu (editor)

Book information

Publisher
Birkhäuser
Year
2012
ISBN
1461272750, 9781461272755
Language
english
Format
DJVU
Filesize
1 MB (1166879 bytes)
Series
Progress in Mathematics (Book 159)
Edition
Softcover reprint of the original 1st ed. 1998
Pages
195\203
Time added
2020-07-27 14:08:52

Description

The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and hence gives the greatest opportunity for generalizing the remarkable results of Euclidean harmonic analysis. The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the non-abelian setup of the Heisenberg group. Thangavelu’s exposition is clear and well developed, and leads to several problems worthy of further consideration. Any reader who is interested in pursuing research on the Heisenberg group will find this unique and self-contained text invaluable.

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