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Harmonic Analysis on the Heisenberg Group (Progress in Mathematics)

✍ Scribed by Sundaram Thangavelu (editor)

Publisher
BirkhΓ€user
Year
2012
Tongue
English
Leaves
203
Series
Progress in Mathematics (Book 159)
Edition
Softcover reprint of the original 1st ed. 1998
Category
Library
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✦ Synopsis

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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