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A characterization of annular domains by quadrature identities
Author(s) -
Gardiner Stephen J.,
Sjödin Tomas
Publication year - 2019
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12243
Subject(s) - mathematics , quadrature (astronomy) , conjecture , characterization (materials science) , measure (data warehouse) , mathematical analysis , tanh sinh quadrature , gauss–kronrod quadrature formula , pure mathematics , nyström method , integral equation , optics , computer science , physics , data mining
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized as quadrature domains for harmonic functions with respect to a uniformly distributed measure on a sphere.