Universal spectra, universal tiling sets and the spectral set conjecture
From MaRDI portal
Publication:4799689
DOI10.7146/math.scand.a-14325zbMath1018.52018OpenAlexW116462380WikidataQ123162258 ScholiaQ123162258MaRDI QIDQ4799689
Publication date: 25 March 2003
Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7146/math.scand.a-14325
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier series and coefficients in several variables (42B05) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Related Items (31)
Some properties of spectral measures ⋮ Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$ ⋮ Duality questions for operators, spectrum and measures ⋮ Wavelets associated with nonuniform multiresolution analyses and one-dimensional spectral pairs ⋮ Tiling sets and spectral sets over finite fields ⋮ Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs ⋮ Spectrality of self-similar measures with product-form digits ⋮ Analysis of orthogonality and of orbits in affine iterated function systems ⋮ Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale ⋮ Spectrality of self-similar tiles ⋮ Spectrality of Moran measures with finite arithmetic digit sets ⋮ Some Recent Developments of Self-Affine Tiles ⋮ Momentum operators in two intervals: spectra and phase transition ⋮ Spectra of certain types of polynomials and tiling of integers with translates of finite sets. ⋮ When does a Bernoulli convolution admit a spectrum? ⋮ Extension of positive definite functions ⋮ Fuglede’s conjecture for a union of two intervals ⋮ On the universal tiling conjecture in dimension one ⋮ Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution ⋮ Some reductions of the spectral set conjecture to integers ⋮ Scalar spectral measures associated with an operator-fractal ⋮ Families of spectral sets for Bernoulli convolutions ⋮ Duality properties between spectra and tilings ⋮ Spectrality of a class of infinite convolutions ⋮ Quasiperiodic spectra and orthogonality for iterated function system measures ⋮ Spectrality of a class of Moran measures ⋮ On the spectra of a Cantor measure ⋮ Non-spectrality of self-affine measures ⋮ Spectral theory of multiple intervals ⋮ On spectral eigenvalue problem of a class of generalized Cantor measures ⋮ Wavelets, tiling, and spectral sets
This page was built for publication: Universal spectra, universal tiling sets and the spectral set conjecture