Vol. 51, No. 1, 1974

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The Dirichlet problem for some overdetermined systems on the unit ball in Cn

Eric Bedford

Vol. 51 (1974), No. 1, 19–25
Abstract

A characterization is given of those functions on ∂Bn = {|z| = 1} which can be extended to be analytic, pluriharmonic, or n-harmonic in Bn = {|z| < 1}.

Mathematical Subject Classification 2000
Primary: 35N15
Milestones
Received: 4 October 1972
Published: 1 March 1974
Authors
Eric Bedford
Department of Mathematics
Indiana University
Rawles Hall 115
Bloomington IN 47405-5701
United States