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| Home > Articles > Published articles > On quotients of holomorphic functions in the disc with boundary regularity conditions |
| Date: | 1988 |
| Abstract: | In this paper we give characterizations of those holomorphic functions in the unit disc in the complex plane that can be written as a quotient of functions in A(D), A°°(D) or Al(D) with a nonvanishing denominator in D. As a consequence we prove that if f E Al (D) does not vanish in D, then there exists g E Al (D) which has the same zero set as f in D and such that fg E A(D). |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 32 n. 1 (1988) p. 135-144, ISSN 2014-4350 |
