We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number m generates a complete or incomplete Fourier basis for a Cantor-type measure with scale g
AbstractA Borel measure μ in Rd is called a spectral measure if there exists a set Λ⊂Rd such that th...
ABSTRACT. This breif note defines the idea of a “very fat ” Cantor set, and breifly exam-ines the me...
We consider discrete one-dimensional Schrödinger operators whose potentials belong to minimal subshi...
We investigate some relations between number theory and spectral measures related to the harmonic an...
A probability measure in ℝd is called a spectral measure if it has an orthonormal basis consisting o...
AbstractA probability measure in Rd is called a spectral measure if it has an orthonormal basis cons...
AbstractWe analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and ...
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen...
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen...
Abstract. In this paper, we add to the characterization of the Fourier spectra for Bernoulli convolu...
We study some number theory problems related to the harmonic analysis (Fourier bases) of the Cantor ...
We explore the spectral theory of the orthogonal polynomials associated to the classical Cantor meas...
AbstractWe describe a class of measurable subsets Ω in Rd such that L2(Ω) has an orthogonal basis of...
We describe a class of measurable subsets Ω in Rd such that L2(Ω) has an orthogonal basis of frequen...
For every positive, decreasing, summable sequence $a=(a_i)$, we can construct a Cantor set $C_a$ ass...
AbstractA Borel measure μ in Rd is called a spectral measure if there exists a set Λ⊂Rd such that th...
ABSTRACT. This breif note defines the idea of a “very fat ” Cantor set, and breifly exam-ines the me...
We consider discrete one-dimensional Schrödinger operators whose potentials belong to minimal subshi...
We investigate some relations between number theory and spectral measures related to the harmonic an...
A probability measure in ℝd is called a spectral measure if it has an orthonormal basis consisting o...
AbstractA probability measure in Rd is called a spectral measure if it has an orthonormal basis cons...
AbstractWe analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and ...
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen...
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen...
Abstract. In this paper, we add to the characterization of the Fourier spectra for Bernoulli convolu...
We study some number theory problems related to the harmonic analysis (Fourier bases) of the Cantor ...
We explore the spectral theory of the orthogonal polynomials associated to the classical Cantor meas...
AbstractWe describe a class of measurable subsets Ω in Rd such that L2(Ω) has an orthogonal basis of...
We describe a class of measurable subsets Ω in Rd such that L2(Ω) has an orthogonal basis of frequen...
For every positive, decreasing, summable sequence $a=(a_i)$, we can construct a Cantor set $C_a$ ass...
AbstractA Borel measure μ in Rd is called a spectral measure if there exists a set Λ⊂Rd such that th...
ABSTRACT. This breif note defines the idea of a “very fat ” Cantor set, and breifly exam-ines the me...
We consider discrete one-dimensional Schrödinger operators whose potentials belong to minimal subshi...