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math.FA2024
Non-isometric translation and modulation invariant Hilbert spaces
P. K. Ratnakumar, Joachim Toft, Jasson Vindas
Let be a Hilbert space of distributions on which contains at least one non-zero element in . If there is a constant su…
math.FA2024★ 2 cited
Hermite expansions for spaces of functions with nearly optimal time-frequency decay
Lenny Neyt, Joachim Toft, Jasson Vindas
We establish Hermite expansion characterizations for several subspaces of the Fréchet space of functions on the real line satisfying \begin{equation*} |f(x)| \lesssim e^{-(\frac{1}…