Some uncertainty principles in abstract harmonic analysis

Price, John F. ; Sitaram, Alladi (1987) Some uncertainty principles in abstract harmonic analysis In: Proceedings of the Centre for Mathematics and its Applications: Miniconference on Harmonic Analysis and operator algebras, June 17-20, 1987, Australian National University, Canberra.


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The first part of this article is an introduction to uncertainty principles in Fourier analysis, while the second summarizes some recent work by the authors and also by Michael Cowling and the authors.The following (rather vague) principle is well known to every student of classical Fourier analysis: If a function f is 'concentrated' then its Fourier transform f is 'spread out' and vice-versa. After reviewing three precise (and different) formulations of this principle in classical Fourier analysis on Rn, we will describe how it extends to LCA groups and certain nonabelian Lie groups - for instance, semisimple Lie groups and Heisenberg groups.

Item Type:Conference or Workshop Item (Paper)
Source:Copyright of this article belongs to Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University.
ID Code:108974
Deposited On:14 Jun 2017 10:33
Last Modified:14 Jun 2017 10:33

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