Add to ORKGJorgensen and Pedersen have proven that a certain fractal measure ν has no infinite set of complex exponentials which form an orthonormal set in L2(ν). We prove that any fractal measure μ obtained from an affine iterated function system possesses a sequence of complex exponentials which forms a Riesz basic sequence, or more generally a Bessel sequence, in L2(μ) such that the frequencies have positive Beurling dimension. © 2011
For a family of fractal measures, we find an explicit Fourier duality. The measures in the pair have...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
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...
Jorgensen and Pedersen have proven that a certain fractal measure v has no infinite set of complex e...
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterat...
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterat...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
AbstractWe study Fourier frames of exponentials on fractal measures associated with a class of affin...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmon...
AbstractConsider the problem of calculating the fractal dimension of a set X consisting of all infin...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
AbstractFor 0<ρ<1, let μρ be the Bernoulli convolution associated with ρ. Jorgensen and Pedersen [P....
For a family of fractal measures, we find an explicit Fourier duality. The measures in the pair have...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...
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...
Jorgensen and Pedersen have proven that a certain fractal measure v has no infinite set of complex e...
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterat...
We study Fourier frames of exponentials on fractal measures associated with a class of affine iterat...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
AbstractWe study Fourier frames of exponentials on fractal measures associated with a class of affin...
For some fractal measures it is a very difficult problem in general to prove the existence of spectr...
We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmon...
AbstractConsider the problem of calculating the fractal dimension of a set X consisting of all infin...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
AbstractFor 0<ρ<1, let μρ be the Bernoulli convolution associated with ρ. Jorgensen and Pedersen [P....
For a family of fractal measures, we find an explicit Fourier duality. The measures in the pair have...
Motivated by the existence problem of Fourier frames on fractal measures, we introduce Bessel and fr...
We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by g...