Nonharmonic Gabor Expansions
نویسنده
چکیده مقاله:
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
دوره 25 شماره 2
صفحات 165- 173
تاریخ انتشار 2014-06-01
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