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math.FA2009★ 1 cited
A Duality principle for groups
Dorin Ervin Dutkay, Deguang Han, David Larson
The duality principle for Gabor frames states that a Gabor sequence obtained by a time-frequency lattice is a frame for if and only if the associated adjoint Gabor…
math.FA2009★ 1 cited
Orthogonal exponentials, translations, and Bohr completions
Dorin Ervin Dutkay, Palle E. T. Jorgensen, Deguang Han
We are concerned with an harmonic analysis in Hilbert spaces , where is a probability measure on $\br^n$. The unifying question is the presence of families of orthogona…
math.FA2006★ 4 cited
The algebra of harmonic functions for a matrix-valued transfer operator
Dorin Ervin Dutkay, Kjetil Roysland
We analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators form a finite dimensional -algebra. For matrix weights satisfying a low-pass…