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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2014 Volume 11, Pages 52–63 (Mi semr470)

Real, complex and functional analysis

Factorization representation and the description of zero sets for the class of holomorphic functions in a disk

E. G. Rodikova

I. G. Petrovsky Bryansk State University

Abstract: We obtain full description of zero sets and construct factorization representation for the class of holomorphic functions in a disk with the Nevanlinna-type characteristic from $L^p$-spaces.

Keywords: analytic function, unit disk, factorization, zero sets, the Nevanlinna characteristic.

UDC: 517.53, 517.54

MSC: 47A68, 30C15

Received November 4, 2013, published January 30, 2014



© Steklov Math. Inst. of RAS, 2025