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math.CA2006★ 1 cited
Analysis of orthogonality and of orbits in affine iterated function systems
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We introduce a duality for Affine Iterated Function Systems (AIFS) which is naturally motivated by group duality in the context of traditional harmonic analysis. Our affine systems…
math.CA2006
Frame analysis and approximation in reproducing kernel Hilbert spaces
Palle E. T. Jorgensen
We consider frames F in a given Hilbert space, and we show that every F may be obtained in a constructive way from a reproducing kernel and an orthonormal basis in an ambient Hilbe…