Cauchy Transforms of Self-Similar Measures

DOI10.1080/10586458.1998.10504368zbMath0959.28006OpenAlexW2155412684MaRDI QIDQ4227900

Jade P. Vinson, Robert S. Strichartz, John-Peter Lund

Publication date: 2 February 1999

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047674203

zbMATH Keywords

algorithmCauchy transformHausdorff measureSierpiński gasketLaurent expansionself-similar measure

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Fractals (28A80)

Related Items (17)

On spectra and spectral eigenmatrix problems of the planar Sierpinski measures ⋮ Spectrality of certain Moran measures with three-element digit sets ⋮ Cauchy transforms of self-similar measures: The Laurent coefficients ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ On zeros and spectral property of self-affine measures ⋮ Cauchy transforms of self-similar measures: Starlikeness and univalence ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. I ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. II ⋮ Orthogonal Polynomials with Respect to Self-Similar Measures ⋮ The starlikeness of Cauchy transform on square ⋮ A note on Cantor boundary behavior ⋮ An Integral Related to the Cauchy Transform on the Sierpinski Gasket ⋮ The infinite range of infinite Blaschke product ⋮ SPECTRAL PROPERTY OF CERTAIN MORAN MEASURES WITH THREE-ELEMENT DIGIT SETS ⋮ Starlikeness and convexity of Cauchy transform on equilateral triangle ⋮ STARLIKENESS AND CONVEXITY OF CAUCHY TRANSFORMS ON REGULAR POLYGONS ⋮ INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES

Cites Work

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• A weak type inequality for Cauchy transforms of finite measures
• Analytic capacity and measure
• Densities of Self-Similar Measures on the Line

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