Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-25T08:40:20.549Z Has data issue: false hasContentIssue false
  • English
  • Français

On the spaces of certain classes of entire functions

Published online by Cambridge University Press:  09 April 2009

V. Krishnamurthy
V. Krishnamurthy
Affiliation:
Department of Maths., Annamalai University, Annamalainagar, India.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let ρ and d be two positive numbers. We shall be concerned in this paper with two classes of entire functions, namely: (i) the class C (ρ, d) of all entire functions of order ρ and type not exceeding d — we note that this class includes all entire functions of order less than ρ;

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 1 , Issue 2 , February 1960 , pp. 147 - 170
Copyright
Copyright © Australian Mathematical Society 1960

References

[1]Arsove, M. G., Proper bases and automorphisms in the space of entire functions. Proc. Amer. Math. Soc. 8 (1957), 264–271.CrossRefGoogle Scholar
[2]Arsove, M. G., Proper Pincherle bases in the space of entire functions. Quart. J. Math. (Oxford) (2) 9 (1958), 40–54.CrossRefGoogle Scholar
[3]Arsove, M. G., Proper bases and linear homeomorphisms in spaces of analytic functions. Math. Ann. 13, 5 (1958), 235–243.CrossRefGoogle Scholar
[4]Banach, S., Théorie des Opérations Linéaires. Warsaw, 1932.Google Scholar
[5]Bourbaki, , Espaces Vectoriels Topologiques, Paris, 1953.Google Scholar
[6]Ganapathy, Iyer V., On the space of Integral Functions, I. J. Ind. Math. Soc. (2) 12, (1948), 13–30.Google Scholar
[7]Ganapathy, Iyer V., On the space of Integral Functions, II. Quart. J. Math. (Oxford) (2) 1 (1950), 86–96.Google Scholar
[8]Ganapathy, Iyer V., On the space of Integral Functions, III. Proc. Amer. Math. Soc. 3, (1952), 874–883.CrossRefGoogle Scholar
[9]Ganapathy, Iyer V., On the space of Integral Functions, IV. Proc. Amer. Math. Soc. 7 (1956), 644–649.CrossRefGoogle Scholar
[10]Ganapathy, Iyer V., On the space of Integral Functions, V. Golden Jubilee volume of the Indian Mathematical Society, (1959), to be published.Google Scholar