The Hadamard Product as a Universality Preserving Operator
- 41 Downloads
Let ψ be holomorphic in a domain containing 0 and ∞, and φ a function that has a universal Taylor series with respect to 0. We consider the question whether the Hadamard product ψ * φ has a similar universality property.
KeywordsHadamard product universal series overconvergence lacunary approximation
2000 MSC30B 30E10
Unable to display preview. Download preview PDF.
- 5.E. Hille, Analytic Function Theory Volume II, New York: Chelsea Publishing Company 1962.Google Scholar
- 9.J. Müller and T. Pohlen, The Hadamard product on open sets in the extended plane, submitted.Google Scholar
- 11.V. Nestoridis, An extension of the notion of universal Taylor series, in: N. Papamichael, S. Ruscheweyh, E. B. Saff (eds.), Proceedings of the 3rd CMFT conference on computational methods and function theory 1997, Nicosia, Cyprus, October 13–17, 1997, World Scientific. Ser. Approx. Decompos. 11 (1999), 421–430.Google Scholar