A Class of Homogeneous Moran Spectral Measures with Eight-Element Digit Sets on $${\mathbb R}^4$$

[1]  D. Dutkay,et al.  Hadamard triples generate self-affine spectral measures , 2015, Transactions of the American Mathematical Society.

[2]  Dense analytic subspaces in fractalL2-spaces , 1997, funct-an/9709007.

[3]  M. Tang,et al.  An extension of Łaba-Wang's theorem , 2020 .

[4]  Jian-Lin Li.  SPECTRAL SELF-AFFINE MEASURES IN $\mathbb{R}^N$ , 2007, Proceedings of the Edinburgh Mathematical Society.

[5]  Z. Wen,et al.  Spectrality of planar self-affine measures with two-element digit set , 2012 .

[6]  Qiyu Sun,et al.  ON THE SPECTRA OF A CANTOR MEASURE , 2008, 0804.4497.

[7]  Jian-Lin Li.  Analysis of μM, D‐orthogonal exponentials for the planar four‐element digit sets , 2014 .

[8]  X. Dai.  Spectra of Cantor measures , 2014, 1401.4630.

[9]  Mingzhi Yang,et al.  A class of spectral self-affine measures with four-element digit sets , 2015 .

[10]  On Spectral Cantor Measures , 2001, math/0109126.

[11]  R. Strichartz.  Mock Fourier series and transforms associated with certain Cantor measures , 2000 .

[12]  X. Dai.  When does a Bernoulli convolution admit a spectrum , 2012 .

[13]  Xing-Gang He,et al.  Spectra of Bernoulli convolutions and random convolutions , 2018, Journal de Mathématiques Pures et Appliquées.

[14]  Chun-Kit Lai.  On Fourier frame of absolutely continuous measures , 2011, 1103.4691.

[15]  Y. Peres,et al.  Sixty Years of Bernoulli Convolutions , 2000 .

[16]  R. Strichartz.  Remarks on “Dense analytic subspaces in fractalL2-spaces” by P.E.T. Jorgensen and S. Pedersen , 1998 .

[17]  Yang Wang,et al.  Some properties of spectral measures , 2006 .

[18]  Analysis of orthogonality and of orbits in affine iterated function systems , 2006, math/0606349.

[19]  D. Dutkay,et al.  Uniformity of measures with Fourier frames , 2012, 1202.6028.

[20]  Alexander Ulanovskii,et al.  Exponential frames on unbounded sets , 2014 .

[21]  Xing-Gang He,et al.  Exponential spectra in L2(μ) , 2013 .

[22]  Zhi-Xiong Wen,et al.  Spectral property of a class of Moran measures on R , 2015 .

[23]  Bent Fuglede,et al.  Commuting self-adjoint partial differential operators and a group theoretic problem , 1974 .

[24]  Jianlin Li.  Spectrality of a class of self-affine measures with decomposable digit sets , 2012 .

[25]  Chun-Kit Lai,et al.  On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem , 2019, Advances in Mathematics.

[26]  R. Strichartz.  Convergence of mock Fourier series , 2006 .

[27]  Xing-Gang He,et al.  Exponential spectra in $L^2(\mu)$ , 2011, 1110.1426.

[28]  Palle E. T. Jorgensen,et al.  Wavelets on Fractals , 2003, math/0305443.