34 citations · 132 across the 59 of their papers we have counts for
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Continuity and Bargmann mapping properties of quasi-Banach Orlicz modulation spaces
Joachim Toft, Rüya Üster, Elmira Nabizadeh +1
We deduce continuity, compactness and invariance properties for quasi-Banach Orlicz modulation spaces. We characterize such spaces in terms of Gabor expansions and by their images…
Characterizations of a class of Pilipovi{ć} spaces by powers of harmonic oscillator
Ahmed Abdeljawad, Carmen Fernandez, Antonio Galbis +2
We show that a smooth function on belongs to the Pilipovi{ć} space or the Pilipovi{ć} space $\mathcal H_{0,\flat _σ}(\mathbf…
Paley-Wiener properties for spaces of power series expansions
Joachim Toft
We extend Paley-Wiener results in the Bargmann setting deduced earlier by the author together with E. Nabizadeh and C. Pfeuffer to larger class of power series expansions. At the s…
Wiener estimates on modulation spaces
Joachim Toft
We characterise modulation spaces by suitable Wiener estimates on the short-time Fourier transforms of the involved functions and distributions. We use the results to refine some f…
The pseudo-differential calculus in a Bargmann setting
Nenad Teofanov, Joachim Toft
We give a fundament for Berezin's analytic do considered in \cite{Berezin71} in terms of Bargmann images of Pilipovi{ć} spaces. We deduce basic continuity results for such do…