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math.FA2026
Fractional symplectic Fourier transforms and their actions on function and distribution spaces
Lenny Neyt, Joachim Toft
We consider symplectic analogues of the fractional Fourier transforms and obtain convenient representations in terms of Bargmann transforms and Wigner distributions. We show that t…
math.FA2026
Spectral characterizations of stable operator semigroups
Morgan Callewaert, Lenny Neyt, Jasson Vindas
We introduce the notion of local pseudofunction spectrum for the infinitesimal generator of a bounded -semigroup on a Banach…