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An Integral Representation of Holomorphic Functions

1979
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Proceedings of the American Mathematical Society
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Let K be a compact set in the complex plane and let / be a function holomorphic on the complement U of K and vanishing at infinity. We prove that there are finite complex-valued Borel measures ft^ (m, n = 0, 1, 2, . . . ; m + n > 1) on K2 satisfying lim^00(2m+"_*||ii»"JI)1A = 0 so that f(z) -2 / (* -w,ym(z -w2y ^"(w" w2) (z e Q). m.« •'AT2

doi:10.2307/2042103
fatcat:bb4lrv2rgngyffnsucz2ex6cp4