Characterizations of Weak R-Duality and Its Application to Gabor Frames
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DOI: 10.1007/s00025-025-02388-4
Abstract: Weak R-duals, a generalization of R-duals, were recently introduced; for which duality relations were established. In this paper, we consider the problem of characterizing a given frame sequence to be a weak R-dual of a… read more here.
Keywords: weak duality; application gabor; gabor; duality application ... See more keywords
Some characterizations of weak sobriety and upper spaces
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DOI: 10.1016/j.topol.2021.107711
Abstract: Abstract Weak sobriety is a topological property that gives rise to a categorical equivalence between topological spaces and distributive lattices without a least element. In this paper, we give some characterizations of weak sobriety and… read more here.
Keywords: topology; sobriety upper; characterizations weak; weak sobriety ... See more keywords
New characterizations of weak group matrices
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DOI: 10.2298/fil2302457z
Abstract: In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is an arbitrary positive integer. Firstly,… read more here.
Keywords: group matrices; group; characterizations weak; weak group ... See more keywords