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A boundary Morera theorem

Authors:

Josip Globevnik

Institution:

1. Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia

Abstract:

LetD ⊂C ^N,N ≥ 2 be a bounded open set withC ² boundary and letL be an open connected set of affine complex hyperplanes inC ^N containing a hyperplane that misses $\bar D$ . LetE = ∪_Λ∈LΛ, Γ =E ∩bD. Suppose thatf ∈C(Γ) and assume that

$\int_{\Lambda \cap bD} {f\alpha = 0}$

Keywords:	Math Subject Classification" target="_blank">Math Subject Classification 32F40
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