%0 Journal Article
%T Nonharmonic Gabor Expansions
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%A Amini, M.
%D 2014
%\ 06/01/2014
%V 25
%N 2
%P 165-173
%! Nonharmonic Gabor Expansions
%K Gabor system
%K Nonharmonic Fourier series
%K Deficiency
%K Entire functions
%K Order of growth
%R
%X 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.
%U https://jsciences.ut.ac.ir/article_51471_607e721e36e73a73eb00b16dee94d25a.pdf