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math.FA2008★ 1 cited
Parseval frames for ICC groups
Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga
We analyze Parseval frames generated by the action of an ICC group on a Hilbert space. We parametrize the set of all such Parseval frames by operators in the commutant of the corre…
math.FA2008★ 1 cited
On the spectra of a Cantor measure
Dorin Ervin Dutkay, Deguang Han, Qiyu Sun
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen in J. Anal. Math. 75,1998, pp 185-228. A complete characterization for all maxi…
math.FA2007
Orthonormal dilations of Parseval wavelets
Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga +1
We prove that any Parseval wavelet frame is the projection of an orthonormal wavelet basis for a representation of the Baumslag-Solitar group We…