Showing 2020Show all
3 papers · 1 filter
math.FA2020
Completeness of Sets of Shifts in Invariant Banach Spaces of Tempered Distributions via Tauberian conditions
Hans G. Feichtinger, Anupam Gumber
The main result of this paper is a far reaching generalization of the completeness result given by V.~Katsnelson in a recent paper [35]. Instead of just using a collection of dilat…
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…