71 citations · 362 across the 74 of their papers we have counts for
4 papers · 1 filter
Spectra of measures and wandering vectors
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We present a characterization of the sets that appear as Fourier spectra of measures in terms of the existence of a strongly continuous representation of the ambient group that has…
On the universal tiling conjecture in dimension one
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We show that the spectral-tile implication in the Fuglede conjecture in dimension 1 is equivalent to a Universal Tiling Conjecture and also to similar forms of the same implication…
On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces
Daniel Alpay, Palle Jorgensen, Ron Seager +1
We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this f…
Spectral theory for Gaussian processes: Reproducing kernels, random functions, boundaries, and -wavelet generators with fractional scales
Daniel Alpay, Palle Jorgensen
A recurrent theme in functional analysis is the interplay between the theory of positive definite functions, and their reproducing kernels, on the one hand, and Gaussian stochastic…