Generalization of weierstrass canonical integrals
Olga Veselovska
Open Mathematics, Tome 2 (2004), p. 593-604 / Harvested from The Polish Digital Mathematics Library
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In this paper we prove that a subharmonic function in ℝm of finite λ-type can be represented (within some subharmonic function) as the sum of a generalized Weierstrass canonical integral and a function of finite λ-type which tends to zero uniformly on compacts of ℝm. The known Brelot-Hadamard representation of subharmonic functions in ℝm of finite order can be obtained as a corollary from this result. Moreover, some properties of R-remainders of λ-admissible mass distributions are investigated.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:268723 
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     title = {Generalization of weierstrass canonical integrals},
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     pages = {593-604},
     zbl = {1072.31002},
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Olga Veselovska. Generalization of weierstrass canonical integrals. Open Mathematics, Tome 2 (2004) pp. 593-604. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475966/

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