nonharmonic gabor expansions
نویسندگان
چکیده
we consider gabor systems generated by a gaussian function and prove certain classical results of paley and wiener on nonharmonic fourier series of complex exponentials for the gabor expansion. in particular, we prove a version of plancherel-po ́lya theorem for entire functions with finite order of growth and use the hadamard factorization theorem to study regularity, exactness and deficiency of gabor systems.
منابع مشابه
Nonharmonic Gabor Expansions
We consider Gabor systems generated by a Gaussian function and prove certain classical results of Paley and Wiener on nonharmonic Fourier series of complex exponentials for the Gabor expansion. In particular, we prove a version of Plancherel-Po ́lya theorem for entire functions with finite order of growth and use the Hadamard factorization theorem to study regularity, exactness and deficienc...
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عنوان ژورنال:
journal of sciences, islamic republic of iranناشر: university of tehran
ISSN 1016-1104
دوره 25
شماره 2 2014
میزبانی شده توسط پلتفرم ابری doprax.com
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