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math.FA2007★ 4 cited
Slanted matrices, Banach frames, and sampling
A. Aldroubi, A. Baskakov, I. Krishtal
In this paper we present a rare combination of abstract results on the spectral properties of slanted matrices and some of their very specific applications to frame theory and samp…
math.FA2007
Invertibility of the Gabor frame operator on the Wiener amalgam space
Ilya A. Krishtal, Kasso A. Okoudjou
We use a generalization of Wiener's theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space , the co…
math.FA2006
Classes of strictly singular operators and their products
George Androulakis, Pandelis Dodos, Gleb Sirotkin +1
V. D. Milman proved in \cite{Milman:70} that the product of two strictly singular operators on () or on is compact. In this note we utilize Schre…