Quadrature and Harmonic L 1 -Approximation in Annuli

DOI10.2307/2001211zbMath0693.31001OpenAlexW4244516783MaRDI QIDQ3035567

Myron Goldstein, David H. Armitage

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2307/2001211

zbMATH Keywords

annulussubharmonic functionmean valuescharacterization of domainsbest harmonic \(L^ 1\) approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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Inverse mean value property of solutions to the modified Helmholtz equation ⋮ Inverse mean value properties (a survey) ⋮ Best harmonic and superharmonic \(L^1\)-approximants in strips ⋮ A characterization of harmonic functions by quadrature identities on annular domains and related results ⋮ Polyharmonic Hardy spaces on the complexified annulus and error estimates of cubature formulas ⋮ A characterization of annular domains by quadrature identities