Found 184 Documents (Results 1–100)
Spectral structure of a class of self-similar spectral measures with product form digit sets. (English) Zbl 07921137
Orthogonal bases of exponential functions for \(L^2 (\mu)\) on \(\mathbb{R}^d\). (English) Zbl 07913008
The orthogonal bases of exponential functions based on Moran-Sierpinski measures. (English) Zbl 07904911
Existence of exponential orthonormal bases for infinite convolutions on \(\mathbb{R}^n\). (English) Zbl 07882005
Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets. (English) Zbl 07845426
Spectral self-similar measures with alternate contraction ratios and consecutive digits. (English) Zbl 07829721
On the intermediate value property of spectra for a class of Moran spectral measures. (English) Zbl 07796954
Spectrality of random convolutions generated by finitely many Hadamard triples. (English) Zbl 07781005
Fourier series for fractals in two dimensions. (English) Zbl 1532.42034
Ruiz, Patricia Alonso (ed.) et al., From classical analysis to analysis on fractals. A tribute to Robert Strichartz. Volume 1. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 183-229 (2023).
Infinite orthogonal exponentials for a class of Moran measures. (English) Zbl 07786174
Reviewer: Wen-hui Ai (Changsha)
The spectrality of self-affine measure under the similar transformation of \(GL_n(p)\). (English) Zbl 07781588
There are four-element orthogonal exponentials of planar self-affine measures with two digits. (English) Zbl 1527.42039
On the Fourier orthonormal bases of a class of self-similar measures on \(\mathbb{R}^n\). (English) Zbl 1527.28012
Reviewer: Peter Massopust (München)
The spectral eigenmatrix problems of planar self-affine measures with four digits. (English) Zbl 07738153
Spectral number of 3-Bernoulli convolutions on \(\mathbb{R}\) and Sierpinski-type measures on \(\mathbb{R}^2\). (English) Zbl 1520.42003
On spectra and spectral eigenmatrices of self-affine measures on \(\mathbb{R}^n\). (English) Zbl 07721835
Self-similar measures with product-form digit sets and their spectra. (English) Zbl 1519.42010
Reviewer: Wen-hui Ai (Changsha)
On zeros and spectral property of self-affine measures. (English) Zbl 1519.28008
Reviewer: Wen-hui Ai (Changsha)
Arbitrarily sparse spectra for self-affine spectral measures. (English) Zbl 1538.28018
Reviewer: Włodzimierz Ślęzak (Bydgoszcz)
Spectrality of a class of Moran measures on \(\mathbb{R}^n\) with consecutive digit sets. (English) Zbl 07664408
Beurling dimension of a class of spectra of the Sierpinski-type spectral measures. (English) Zbl 1528.28024
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures. (English) Zbl 1527.28007
Multiple spectra of self-similar measures with three digits. (Chinese. English summary) Zbl 1524.28013
Orthogonal exponentials of planar self-affine measures with four-element digit set. (English) Zbl 1524.28014
Construction of a class of spectral measures. (English) Zbl 1504.28014
Reviewer: Symon Serbenyuk (Kyïv)
Number theoretic related to the scaling spectrum of self-similar measure with three element digit sets. (English) Zbl 1516.28005
On the Fourier orthonormal bases of a class of Moran measures on \(\mathbb{R}^2\). (English) Zbl 1524.28020
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form. (English) Zbl 1504.28011
Weak convergence and spectrality of infinite convolutions. (English) Zbl 1495.28010
Reviewer: Anouar Ben Mabrouk (Monastir)
On spectra and spectral eigenmatrix problems of the planar Sierpinski measures. (English) Zbl 1487.42060
Fourier orthonormal bases of two dimensional Moran measures with four-element digits. (English) Zbl 1487.42061
Spectral structure of planar self-similar measures with four-element digit set. (English) Zbl 1525.28005
Spectrality of Sierpinski-type self-affine measures. (English) Zbl 1485.28016
Reviewer: Anouar Ben Mabrouk (Monastir)
Spectrality of Moran-type self-similar measures on \(\mathbb{R} \). (English) Zbl 1481.28009
Reviewer: Jörg Neunhäuserer (Goslar)
On spectral and non-spectral problem for the planar self-similar measures with four element digit sets. (English) Zbl 1486.42043
Spectral eigenvalue problems of self-similar measures with consecutive digits. (English) Zbl 1480.15017
Spectrality of Moran Sierpinski-type measures on \(\mathbb{R}^2\). (English) Zbl 1489.28011
Reviewer: Wen-hui Ai (Changsha)
Scaling of spectra of random convolutions with three-element digit sets. (English) Zbl 1513.42022
Reviewer: Denis R. Bell (Jacksonville)
A class of homogeneous Moran spectral measures with eight-element digit sets on \(\mathbb{R}^4\). (English) Zbl 1482.42009
Existence and exactness of exponential Riesz sequences and frames for fractal measures. (English) Zbl 1475.28007
Reviewer: Peter Massopust (München)
Non-spectral problem on infinite Bernoulli convolution. (English) Zbl 1499.28014
Reviewer: Sergey Ludkovsky (Moskva)
Multiple spectra of self-similar measures with three digits on \(\mathbb{R}\). (English) Zbl 1488.42043
On the spectrality of self-affine measures with four digits on \(\mathbb{R}^2\). (English) Zbl 1457.28007
Reviewer: Grzegorz Świątek (Warszawa)
Number theory problems related to the spectrum of Cantor-type measures with consecutive digits. (English) Zbl 1456.28004
Reviewer: Symon Serbenyuk (Kyïv)
On self-similar spectral measures. (English) Zbl 1454.28009
Reviewer: Peter Massopust (München)
Spectrality and non-spectrality of planar self-similar measures with four-element digit sets. (English) Zbl 1506.28005
On spectral eigenvalue problem of a class of self-similar spectral measures with consecutive digits. (English) Zbl 1456.42033
Frame measures for infinitely many measures. (English) Zbl 1459.28005
Reviewer: Bilel Selmi (Monastir)
The non-spectral property of a class of planar self-similar measures. (English) Zbl 1445.28018
MSC:
28A80
Orthogonal exponentials of self-affine measures on \(\mathbb{R}^n\). (English) Zbl 1452.28006
Reviewer: Peter Massopust (München)
An extension of Łaba-Wang’s theorem. (English) Zbl 1451.28004
Reviewer: Peter Massopust (München)
Orthogonal exponential functions of the planar self-affine measures with four digits. (English) Zbl 1434.28035
MSC:
28A80
Spectral properties of certain Moran measures with consecutive and collinear digit sets. (English) Zbl 1437.28016
Spectral property of the planar self-affine measures with three-element digit sets. (English) Zbl 1437.28009
Non-spectral problem for some self-similar measures. (English) Zbl 1439.28018
Reviewer: Peter Massopust (München)
On the orthogonal exponential functions of a class of planar self-affine measures. (English) Zbl 1439.42036
Reviewer: Bujar Fejzullahu (Presevo)
The cardinality of orthogonal exponential functions on the spatial Sierpinski gasket. (English) Zbl 1433.28038
MSC:
28A80
Scaling of spectra of a class of self-similar measures on R. (English) Zbl 1431.28016
Reviewer: Daniele Puglisi (Catania)
Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures. (English) Zbl 1440.42027
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