Initial Singularities of Gauss-Weierstrass Integrals and their Relations to Laplace Transforms and Hausdorff Measures

DOI10.1112/JLMS/S2-21.2.336zbMath0436.35038OpenAlexW2085565079MaRDI QIDQ3876327

Neil A. Watson

Publication date: 1980

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-21.2.336

zbMATH Keywords

Laplace transformHausdorff dimensionHausdorff measurePoisson integralsAbelian theoremGauss-Weierstrass integralrelative limitsweakly-coupled parabolic systems

Mathematics Subject Classification ID

Heat equation (35K05) Laplace transform (44A10) Length, area, volume, other geometric measure theory (28A75) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (5)

Singular and quasi-bounded functions associated with the heat equation ⋮ \(L^p\) estimate of convolution transform of singular measure by approximate identity ⋮ Boundary multifractal behaviour for harmonic functions in the ball ⋮ Subordination of regular kernels and abelian theorems for quotients ⋮ Some boundary fractal properties of the convolution transform of measures by an approximate identity

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