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pro vyhledávání: '"ASCENSI, GERARD"'
Autor:
Ascensi, Gerard
The paper study the discrete sets of translations of the Gaussian function that span the spaces L1(R) and L2(R).
Externí odkaz:
http://arxiv.org/abs/0812.0476
We present an example of a complete and minimal Gabor system consisting of time-frequency shifts of a Gaussian, localized at the coordinate axes in the time-frequency plane (phase space). Asymptotically, the number of time-frequency shifts contained
Externí odkaz:
http://arxiv.org/abs/0805.4166
Autor:
Ascensi, Gerard, Bruna, Joaquim
We characterize the discrete sets L of the real line such that {f(t-l), l in L} span L^1(R), f being an L^1(R)-function whose Fourier transform behaves like the one of the Poisson function.
Comment: Submitted to The Journal of Fourier Analysis a
Comment: Submitted to The Journal of Fourier Analysis a
Externí odkaz:
http://arxiv.org/abs/0804.3252
Autor:
Ascensi, Gerard, Bruna, Joaquim
We prove that the unique Gabor atom with analytical model space is the Gaussian function. We give an analogous result for the wavelet transform. For the general case we give a new approach to study the irregular Gabor and wavelet frames. We improve s
Externí odkaz:
http://arxiv.org/abs/0804.3254
Publikováno v:
Transactions of the American Mathematical Society, 2014 Jul 01. 366(7), 3865-3880.
Externí odkaz:
https://www.jstor.org/stable/23813887
Publikováno v:
In Applied and Computational Harmonic Analysis 2009 26(2):277-282
Autor:
Ascensi, Gerard1 gerard.ascensi@univie.ac.at, Bruna, Joaquim2 bruna@mat.uab.cat
Publikováno v:
IEEE Transactions on Information Theory. May2009, Vol. 55 Issue 5, p2250-2259. 10p.
Akademický článek
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Autor:
Ascensi, Gerard, Kutyniok, Gitta
Publikováno v:
Proceedings of SPIE; Nov2005 Part 2, Issue 1, p59140O-59140O-8, 8p