The convergence in Lp-norm of conjugate Laplace series

DOI10.1142/S0129167X16500531zbMath1364.33015MaRDI QIDQ5739772

Alberto Cialdea, P. Caramuta, Francesco Silverio

Publication date: 20 July 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential formsCesàro meansconjugate seriesLaplace seriesRiesz inequality

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Differential forms in global analysis (58A10) Spherical harmonics (33C55) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

• The Abel summability of conjugate Laplace series of measures
• Spherical harmonics and approximations on the unit sphere. An introduction
• Fourier-Laplace series on a sphere
• A new Hilbert transform on the unit sphere in
• Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
• Approximation Theory and Harmonic Analysis on Spheres and Balls
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