3 papers
math.FA2020
Completeness of shifted dilates in invariant Banach spaces of tempered distributions
Hans G. Feichtinger, Anupam Gumber
We show that well-established methods from the theory of Banach modules and time-frequency analysis allow to derive completeness results for the collection of shifted and dilated v…
math.FA2020
Translation and modulation invariant Hilbert spaces
Joachim Toft, Anupam Gumber, Ramesh Manna +1
We show that for any Hilbert space of distributions on which is translation and modulation invariant, is equal to , with the same norm apart from…
math.FA2017
Orthogonality and duality of frames over locally compact abelian groups
Anupam Gumber, Niraj K. Shukla
Motivated by the recent work of Bownik and Ross \cite{BR}, and Jakobsen and Lemvig \cite{JL}, this article generalizes latest results on reproducing formulas for generalized transl…