Add to ORKGWe study Fourier frames of exponentials on fractal measures associated with a class of affine iterated function systems. We prove that, under a mild technical condition, the Beurling dimension of a Fourier frame coincides with the Hausdorff dimension of the fractal. © 2010
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
This paper gives a review of the recent progress in the study of Fourier bases and Fourier frames on...
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterat...
AbstractWe study Fourier frames of exponentials on fractal measures associated with a class of affin...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Jorgensen and Pedersen have proven that a certain fractal measure ν has no infinite set of complex e...
AbstractJorgensen and Pedersen have proven that a certain fractal measure ν has no infinite set of c...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
Jorgensen and Pedersen have proven that a certain fractal measure v has no infinite set of complex e...
We generalize an idea of Picioroaga and Weber [10] to construct Parseval frames of weighted exponent...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
This paper gives a review of the recent progress in the study of Fourier bases and Fourier frames on...
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterat...
AbstractWe study Fourier frames of exponentials on fractal measures associated with a class of affin...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
Jorgensen and Pedersen have proven that a certain fractal measure ν has no infinite set of complex e...
AbstractJorgensen and Pedersen have proven that a certain fractal measure ν has no infinite set of c...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
Jorgensen and Pedersen have proven that a certain fractal measure v has no infinite set of complex e...
We generalize an idea of Picioroaga and Weber [10] to construct Parseval frames of weighted exponent...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
110 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.This thesis explores the Haus...
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-...
This paper gives a review of the recent progress in the study of Fourier bases and Fourier frames on...