Uniqueness Theory for Laplace Series

DOI10.2307/1990446zbMath0036.17403OpenAlexW4234724968WikidataQ56602563 ScholiaQ56602563MaRDI QIDQ5794321

Walter Rudin

Publication date: 1950

Full work available at URL: https://doi.org/10.2307/1990446

zbMATH Keywords

Approximation and series expansion

Related Items (11)

Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere ⋮ Reconstructing a function on the sphere from its means along vertical slices ⋮ Laplace-Beltrami differentiability of positive definite kernels on the sphere ⋮ Fourier-Laplace series on a sphere ⋮ Fourier series in several variables ⋮ Strong converse inequality for a spherical operator ⋮ Moduli of smoothness and approximation on the unit sphere and the unit ball ⋮ On the best approximation of functions on the sphere in the metric of \(L_ p(S^ n), 1<p<{\infty}\) ⋮ Laplace Series and Sets of Logarithmic Capacity Zero ⋮ Eigenvalue decay of positive integral operators on the sphere ⋮ Uniqueness of spherical harmonic expansions

Cites Work

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• On the Theory of Trigonometric Series (II)
• Integral Representation of Continuous Functions

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