39 citations · 41 across the 4 of their papers we have counts for
4 papers
On approximations by shifts of the Gaussian function
Gerard Ascensi
The paper study the discrete sets of translations of the Gaussian function that span the spaces L1(R) and L2(R).
Phase space distribution of Gabor expansions
Gerard Ascensi, Yurii I. Lyubarskii, Kristian Seip
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…
Model spaces results for the Gabor and Wavelet transforms
Gerard Ascensi, Joaquim Bruna
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…
Poisson type generators for L^1(R)
Gerard Ascensi, Joaquim Bruna
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…