Fourier asymptotics of fractal measures
From MaRDI portal
Publication:584439
DOI10.1016/0022-1236(90)90009-AzbMath0693.28005MaRDI QIDQ584439
Publication date: 1990
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Related Items (59)
Spectrality of a class of Moran measures on with consecutive digit sets ⋮ Fourier transform and mean quadratic variation of Bernoulli convolution on homogeneous Cantor set ⋮ Singular continuous spectra and discrete wave packet dynamics ⋮ Unnamed Item ⋮ Harmonic analysis of fractal measures induced by representations of a certain 𝐶*-algebra ⋮ Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation ⋮ Spectra of Bernoulli convolutions and random convolutions ⋮ Modern Koopman Theory for Dynamical Systems ⋮ On the Fourier transforms of inhomogeneous self-similar measures ⋮ Harmonic analysis of fractal measures ⋮ Quantum scattering on a Cantor bar ⋮ Remarks on the relation between quantum dynamics and fractal spectra ⋮ \(L^p\)-Fourier asymptotics, Hardy-type inequality and fractal measures ⋮ Spectra of symmetric self-similar measures as multipliers in \(L^p\) ⋮ The lower Fourier dimensions of in-homogeneous self-similar measures ⋮ In-homogenous self-similar measures and their Fourier transforms ⋮ Slow dynamics for self-adjoint semigroups and unitary evolution groups ⋮ On the intermediate value property of spectra for a class of Moran spectral measures ⋮ Cauchy transforms of self-similar measures: The Laurent coefficients ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Anderson-like transition for a class of random sparse models in \(d\geq 2\) dimensions ⋮ On the Fourier asymptotics of absolutely continuous measures with power-law singularities ⋮ Fourier asymptotics of Cantor type measures at infinity ⋮ Harmonic analysis as spectral theory of Laplacians ⋮ A characterization of singular packing subspaces with an application to limit-periodic operators ⋮ Asymptotic behavior of Fourier transforms of self-similar measures ⋮ Universal lower bounds for quantum diffusion ⋮ On ergodic averages for parabolic product flows ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. I ⋮ Densities of Self-Similar Measures on the Line ⋮ Spectral asymptotics of fractal measures on Riemannian manifolds ⋮ Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains ⋮ Fourier frames for singular measures and pure type phenomena ⋮ Besicovitch meets Wiener—Fourier expansions and fractal measures ⋮ Hardy's inequality and fractal measures ⋮ A spherical Wiener-Plancherel formula ⋮ Coin-tossing measures and their Fourier transforms ⋮ The Cantor function ⋮ Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket ⋮ On a decomposition of non-negative Radon measures ⋮ Self-Similar Measures and Their Fourier Transforms. II ⋮ Fractal measures and mean \(p\)-variations ⋮ Mean quadratic variations and Fourier asymptotics of self-similar measures ⋮ Spectrality of a class of Moran measures ⋮ A discrete transform and decompositions of distribution spaces ⋮ Dense analytic subspaces in fractal \(L^2\)-spaces ⋮ Unnamed Item ⋮ Measures and their dimension spectrums for cookie-cutter sets in \(\mathbb{R}^d\) ⋮ Local Decay of Acoustic Waves in the Low Mach Number Limits on General Unbounded Domains Under Slip Boundary Conditions ⋮ Local Fourier spaces and weighted Beurling density ⋮ Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization ⋮ Anomalous Transport: A Mathematical Framework ⋮ ASYMPTOTIC TIME DECAY IN QUANTUM PHYSICS: A SELECTIVE REVIEW AND SOME NEW RESULTS ⋮ A Weyl type formula for Fourier spectra and frames ⋮ Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals ⋮ Progress in the mathematical theory of quantum disordered systems ⋮ Wavelet expansions of fractal measures ⋮ INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES ⋮ Fractal wavelet dimensions and localization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Harmonic analysis as spectral theory of Laplacians
- Differentiation of integrals in \(\mathbb{R}^n\)
- Asymptotic properties of solutions of differential equations with simple characteristics
- A note on Riesz potentials
- Calderon-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderon
- Spectral theory of schrödinger operators on euclidean and on non-euclidean spaces
- Besicovitch meets Wiener—Fourier expansions and fractal measures
- Abram Samoilovitch Besicovitch
- A trace inequality for generalized potentials
- A general form of the covering principle and relative differentiation of additive functions. II
This page was built for publication: Fourier asymptotics of fractal measures
