Mean boundary value problems and Riemann series

DOI10.1016/0021-9045(74)90104-XzbMath0277.30008MaRDI QIDQ1393501

Charles K. Chui, Chin-Hung Ching

Publication date: 1974

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Power series (including lacunary series) in one complex variable (30B10) Approximation in the complex plane (30E10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Analytic continuation of functions of one complex variable (30B40)

Related Items (7)

Solving boundary value problems with ``average data sampled on an arc ⋮ Analytic Functions Characterized by Their Means on an Arc ⋮ On a transformation of power series ⋮ A two-dimensional mean problem ⋮ Characterization of Functions in Terms of Rate of Convergence of a Quadrature Process ⋮ H^pRepresentation of ultraspherical expansions^† ⋮ Recapturing a Holomorphic Function on an Annulus from its Mean Boundary Values

Cites Work

• Unnamed Item
• Asymptotic similarities of Fourier and Riemann coefficients
• Uniqueness theorems determined by function values at the roots of unity
• Concerning rates of convergence of Riemann sums

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