An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups

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Birkhäuser, 2004 - Mathematics - 174 pages
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The central theme of this work is the development of a number of analogs of Hardy's theorem, which is one interpretation of the mathematical Uncertainty Principle, in settings arising from noncommutative harmonic analysis. A tutorial introduction gives the requisite background material. The techniques used to prove the main results run the gamut of modern harmonic analysis such as representation theory, spherical functions, Hecke Bochner formulas and special functions. Graduate students and researchers in harmonic analysis will greatly benefit from this unique book.

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Euclidean Spaces
Heisenberg Groups
Symmetric Spaces of Rank 1

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