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Cameron Williams
UH
An Alternative Characterization and Generalization of the
Fourier Transform
May 8, 2015 1pm, 646 PGH
Abstract
The Fourier transform can be uniquely realized as a
nonzero multiplicative linear functional on L1(R). In this talk, we
present an alternative characterization of the Fourier transform in terms
of the Gaussian. From this characterization, we devise a family of integral
transforms which generalize the Fourier transform and share many of the
same properties.
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Last modified: April 08 2016 - 07:21:37