27 citations · 61 across the 21 of their papers we have counts for
Showing 2007 · math.FAShow all
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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…
math.FA2007
Fourier series on fractals: a parallel with wavelet theory
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We study orthogonality relations for Fourier frequencies and complex exponentials in Hilbert spaces with measures arising from iterated function systems (IFS). This in…
math.FA2007★ 4 cited
Covariant representations for matrix-valued transfer operators
Dorin Ervin Dutkay, Kjetil Roysland
Motivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we construct an abstract affine structure and a multiresolution associated to a matr…