Gabriel Picioroaga

activity

20042008

most citedUnitary Representations of Wavelet Groups and Encoding of Iterated Function Systems in Solenoids

6 citations · 9 across the 5 of their papers we have counts for

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3 papers · 1 filter

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.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 $B S (1, 2) =< u, t ∣ u t u^{- 1} = t^{2} > .$ We…

math.FA2004

MRA Super-wavelets

Stefan Bildea, Dorin Ervin Dutkay, Gabriel Picioroaga

We construct a multiresolution theory for spaces bigger then L^2(R). For a good choice of the dilation and translation operators on these larger spaces, it is possible to build sin…