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math.FA2014
Gabor systems and almost periodic functions
Paolo Boggiatto, Carmen Fernández, Antonio Galbis
We give a construction of Gabor type frames for suitable separable subspaces of the non-separable Hilbert spaces of almost periodic functions of one variable. F…
math.FA2014★ 2 cited
Frames and representing systems in Fréchet spaces and their duals
José Bonet, Carmen Fernández, Antonio Galbis +1
Frames and Bessel sequences in Fréchet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract result…
math.FA2014
Convenient descriptions of weight functions in time-frequency analysis
Carmen Fernandez, Antonio Galbis, Joachim Toft
Let be a submultiplicative weight. Then we prove that satisfies GRS-condition, if and only if $v\cdot e^{-\ep |\cdo |}$ is bounded for every positive $\ep$. We use this equ…