An analytic study of functions defined on self-similar fractals

zbMath0735.42018MaRDI QIDQ1174603

Miguel Reyes

Publication date: 25 June 1992

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionDirichlet kernelHausdorff measureFourier seriesFourier coefficientsself-similar setcomplete orthonormal function systemFourier analysis on self-similar fractals

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fractals (28A80) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Hausdorff and packing measures (28A78)

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