Spectral self-similar measures with alternate contraction ratios and consecutive digits

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)

Cites Work

On the spectra of Sierpinski-type self-affine measures
Spectra of Cantor measures
Spectral property of Cantor measures with consecutive digits
When does a Bernoulli convolution admit a spectrum?
A class of spectral Moran measures
On Fourier frame of absolutely continuous measures
Families of spectral sets for Bernoulli convolutions
Some properties of spectral measures
On Fuglede's conjecture and the existence of universal spectra
Analysis of orthogonality and of orbits in affine iterated function systems
Spectrality of self-similar tiles
Spectral property of the Bernoulli convolutions
On the spectra of a Cantor measure
Dense analytic subspaces in fractal $L^2$-spaces
Orthonormal bases of exponentials for the $n$-cube
Mock Fourier series and transforms associated with certain Cantor measures
Commuting self-adjoint partial differential operators and a group theoretic problem
On spectral Cantor measures
Fuglede's conjecture is false in 5 and higher dimensions
Exponential spectra in $L^2(\mu)$
Construction of a class of spectral measures
The Fuglede conjecture for convex domains is true in all dimensions
Spectrality of self-similar measures with product-form digits
On self-similar spectral measures
Uniformity of spectral self-affine measures
Spectrality of one dimensional self-similar measures with consecutive digits
Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures
Fuglede's conjecture holds in $\mathbb{Q}_p$
Sierpinski-type spectral self-similar measures
On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem
Tree structure of spectra of spectral self-affine measures
Uniformity of measures with Fourier frames
On spectral ${N}$-Bernoulli measures
Convergence of mock Fourier series
Spectrality of self-affine Sierpinski-type measures on $\mathbb{R}^2$
Spectral structure of digit sets of self-similar tiles on ${\mathbb R}^1$
Hadamard triples generate self-affine spectral measures
Fuglede's conjecture on cyclic groups of order pnq
Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$
Divergence of the mock and scrambled Fourier series on fractal measures
Tiles with no spectra
Spectral theory of multiple intervals
Product-form Hadamard triples and its spectral self-similar measures
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