Distributions singulières, dimension du support et symétrie de la transformation de Fourier

DOI10.5802/aif.2801zbMath1307.42004arXiv1004.3631OpenAlexW2962724362MaRDI QIDQ462789

Gady Kozma, Alexander Olevskiĭ

Publication date: 21 October 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3631

zbMATH Keywords

Fourier transformHausdorff dimensionFourier coefficientsSchwartz distributionpseudo-functionFrostman's theoremsingular distribution

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Hausdorff and packing measures (28A78) Conjugate functions, conjugate series, singular integrals (42A50) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items

Singular Distributions and Symmetry of the Spectrum ⋮ On dimension and regularity of vector-valued measures under Fourier analytic constraints

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