Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-23T05:08:21.241Z Has data issue: false hasContentIssue false
  • English
  • Français

Bounded analytic functions with Hadamard gaps

Published online by Cambridge University Press:  26 February 2010

J. M. Anderson
J. M. Anderson
Affiliation:
Mathematics Department, University College, London, W.C.1.
Get access

Extract

The object of the present note is to study functions f(z) which are bounded and analytic in |z| > 1, with Taylor expansion

where the sequence {λn} of integers satisfies the Hadamard gap condition

Type
Research Article
Information
Mathematika , Volume 23 , Issue 2 , December 1976 , pp. 142 - 146
Copyright
Copyright © University College London 1976

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Hirschman, I. I. and Jenkins, J. A.. “On lacunary Dirichlet series”, Proc. Amer. Math. Soc, 1 (1950), 512–517CrossRefGoogle Scholar
2.Hoffman, K.. Banach Spaces of Analytic Functions (Englewood Cliffs, N. J. 1962).Google Scholar
3.Newman, D. J., Schwartz, J. T. and Shapiro, H. S., “On generators of the Banach algebras h and f i(0, ∞),” Trans. Amer. Math. Soc, 107 (1963), 466–484.Google Scholar
4.Valiron, G.. Lectures on the General Theory of Integral Functions (New York, 1949).Google Scholar