Fractal measures and mean \(p\)-variations
From MaRDI portal
Publication:1803321
DOI10.1016/0022-1236(92)90031-DzbMath0767.28007OpenAlexW2038759694WikidataQ126127122 ScholiaQ126127122MaRDI QIDQ1803321
Publication date: 29 June 1993
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(92)90031-d
Plancherel formulaopen set conditionself-similar measurefractal measuresintegrated Fourier transformsmean \(p\)-variationWiener transform
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractals (28A80)
Related Items (32)
Moments of infinite convolutions of symmetric Bernoulli distributions ⋮ Eigenvalues and eigenfunctions of one-dimensional fractal Laplacians defined by iterated function systems with overlaps ⋮ Laplace operators related to self-similar measures on \(\mathbb R^{d}\) ⋮ Multifractal structure and product of matrices ⋮ Singularity and \(L^2\)-dimension of self-similar measures ⋮ On the discount sum of Bernoulli random variables ⋮ Remarks on the relation between quantum dynamics and fractal spectra ⋮ \(L^p\)-Fourier asymptotics, Hardy-type inequality and fractal measures ⋮ Spectrality of certain Moran measures with three-element digit sets ⋮ The lower Fourier dimensions of in-homogeneous self-similar measures ⋮ In-homogenous self-similar measures and their Fourier transforms ⋮ Cauchy transforms of self-similar measures: The Laurent coefficients ⋮ On zeros and spectral property of self-affine measures ⋮ The local dimensions of the Bernoulli convolution associated with the golden number ⋮ Asymptotic behavior of Fourier transforms of self-similar measures ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. I ⋮ Densities of Self-Similar Measures on the Line ⋮ -SPECTRUM OF SELF-SIMILAR MEASURES WITH OVERLAPS IN THE ABSENCE OF SECOND-ORDER IDENTITIES ⋮ A spherical Wiener-Plancherel formula ⋮ The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers ⋮ Harmonic calculus on fractals—A measure geometric approach II ⋮ Self-Similar Measures and Their Fourier Transforms. II ⋮ SPECTRAL PROPERTY OF CERTAIN MORAN MEASURES WITH THREE-ELEMENT DIGIT SETS ⋮ Mean quadratic variations and Fourier asymptotics of self-similar measures ⋮ Multifractal measures and a weak separation condition ⋮ Necessary condition for measures which are \((L^q ,L^p )\) multipliers ⋮ Multifractal analysis of infinite products ⋮ Numerical Experiments in Fourier Asymptotics of Cantor Measures and Wavelets ⋮ Wavelet expansions of fractal measures ⋮ INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES ⋮ Generalized fractal dimensions: equivalences and basic properties. ⋮ Maximal operators and Fourier transforms of self-similar measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourier asymptotics of fractal measures
- An \(n\)-dimensional Wiener-Plancherel formula
- Some new classes of Hardy spaces
- Asymptotic properties of solutions of differential equations with simple characteristics
- Mean quadratic variations and Fourier asymptotics of self-similar measures
- On the Hausdorff dimension of some fractal sets
- Arithmetic Properties of Bernoulli Convolutions
- The Spherical Wiener–Plancherel Formula and Spectral Estimation
- Extension of Wiener's Tauberian Identity and Multipliers on the Marcinkiewicz Space
- Besicovitch meets Wiener—Fourier expansions and fractal measures
- On Generalized Harmonic Analysis
- Self-Similar Measures and Their Fourier Transforms. II
- The sum of Rademacher functions and Hausdorff dimension
- Wiener Transformation on Functions with Bounded Averages
This page was built for publication: Fractal measures and mean \(p\)-variations