Abstract
We give a preliminary report here on our work on the problem of interpolation on a sequence Z = (zn) of non-zero complex numbers by entire functions f of the form \( f\left( z \right) = \sum\limits_{{\lambda \in \Lambda }} {{{a}_{\lambda }}{{z}^{\lambda }}} \) where ʌ is a given sequence of positive intergers.
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Paul M. Gauthier and Lee A. Rubel, Interpolation in separable Fréchet spaces with applications to spaces of analytic functions, Canad. J. Math. 27 (1975), 1110–1113.
Nigel Kalton, On summability domains, Proc. Camb. Philo. Soc. 73 (1973), 327–338.
Christer Lech, A note on recurring series, Arkiv för Mat.} 2 (1952), 417–421.
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© 1980 Springer Science+Business Media New York
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Kalton, N., Rubel, L. (1980). Gap-Interpolation Theorems for Entire Functions. In: Aupetit, B. (eds) Complex Approximation. Progress in Mathematics, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-6115-5_9
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DOI: https://doi.org/10.1007/978-1-4612-6115-5_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3004-1
Online ISBN: 978-1-4612-6115-5
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