Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

Infinite Taylor interpolation

Author(s): Leonhard Frerick; Jürgen Müller
Journal: Proc. Amer. Math. Soc. 125 (1997), 3331-3337.
MSC (1991): Primary 30E05
MathSciNet review: 1403126
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: Let $G$ be a region in $\mathbb C$ , let $\alpha$ be a point in $G$ , and let $\Lambda$ be an infinite set of nonnegative integers. We consider the question whether there exists a function which is holomorphic in $G$ and has prescribed derivatives of order $\nu$ at $\alpha$ for all $\nu \in \Lambda$ .

References:

1.: M. Dixon, J. Korevaar, Approximation by lacunary polynomials, Indag. Math., 39 (1977), 176-194. MR 56:15940
2.: N. Kalton, L. A. Rubel, Gap-interpolation theorems for entire functions, J. Reine Angew. Math, 316 (1980), 71-82. MR 83f:30023
3.: C. A. Berenstein, R. Gay, Complex analysis and special topics in harmonic analysis, Springer, New York, 1995. MR 96j:30001
4.: G. Köthe, Topological vector spaces, II, Springer-Verlag, New York, 1979. MR 81g:46001
5.: P. Koosis, The logarithmic integral, I, Cambridge University Press, Cambridge, 1988. MR 90a:30097
6.: P. Koosis, The logarithmic integral, II, Cambridge University Press, Cambridge, 1992. MR 94i:30027
7.: W. Rudin, Real and complex analysis, 3rd ed., McGraw - Hill, New York, 1987. MR 88k:00002

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|