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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Reviews

"The author is to be commended for assembling this diverse body of interesting results into a coherent and readable monograph...Thangavelu's work....gives a useful survey of the field, bringing together a number of recent results which have not appeared elsewhere in book form and which will appeal to a broad mathematical audience..."

-Mathematical Reviews

Book Information
ISBN 9780817640507
Author Sundaram Thangavelu
Format Hardback
Page Count 195
Imprint Birkhauser Boston Inc
Publisher Birkhauser Boston Inc