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Zak transforms and Gabor frames of totally positive functions and exponential B-splines

✍ Scribed by Kloos, Tobias; Stöckler, Joachim

Book ID
124126511
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
394 KB
Volume
184
Category
Article
ISSN
0021-9045

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We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions. We introduce a variant of the classical Fock space by integrating against the Monge AmpeÁ re measure of the weight function and show that the norm of the Fourier Laplace transform, in a dual Fock