The Convergence Almost Everywhere of Legendre Series

DOI10.2307/2037625zbMath0266.42011OpenAlexW4246145877MaRDI QIDQ5683207

H. Pollard

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2037625

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (9)

Almost everywhere convergence of prolate spheroidal series ⋮ A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product ⋮ Divergent Jacobi Polynomial Series ⋮ Convergence of Fourier Series Expansion Related to Free Groups ⋮ Convergence of Fourier series on compact Lie groups ⋮ Convergence in the mean of the Fourier series in orthogonal polynomials ⋮ Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product ⋮ Expansions in Legendre polynomials and Lagrange interpolation ⋮ On the Weak Behaviour of Partial Sums of Legendre Series

Cites Work

• Equiconvergence and Almost Everywhere Convergence of Hermite and Laguerre Series
• The Mean Convergence of Orthogonal Series. I
• Mean Convergence of Orthogonal Series

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