Hostname: page-component-f554764f5-8cg97 Total loading time: 0 Render date: 2025-04-09T13:40:26.846Z Has data issue: false hasContentIssue false
  • English
  • Français

Some properties of mean periodic functions

Published online by Cambridge University Press:  09 April 2009

P. G. Laird
P. G. Laird
Affiliation:
University of OtagoDunedin, New Zealand
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.

This paper presents some properties of continuous complex-valued mean periodic functions of a single real variable. The theory of these functions is due mainly to Schwartz [7] and they have also been considered by Kahane [4, 5]. Most of the properties outlined here are also shared by the continuous meanperiodic functions on a half line introduced by Koosis [6].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 4 , December 1972 , pp. 424 - 432
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Bellman, R. and Cooke, K. L., Differential-Difference Equations (Academic Press, 1963).Google Scholar
[2]Edwards, R. F., Functional Analysis, Theory and Applications (Holt, Rinehart and Winston, 1965).Google Scholar
[3]Erdélyi, A., Operational Calculus and Generalized Functions (Holt, Rinehart and Winston, 1962).Google Scholar
[4]Kahane, J. P., ‘Sur quelques problèmes d'unicité et de prolongement, relatifs aux fonctions approchables par des sommes d'exponentielles’, Annales d'Institute Fourier, 5 (1953–1954), 39–130.CrossRefGoogle Scholar
[5]Kahane, J. P., Lectures on Mean Periodic Functions (Tata Institute of Fundamental Research, Bombay, 1959).Google Scholar
[6]Koosis, P., ‘On functions which are mean periodic on a half line’, Comm. Pure Appl. Math. 10 (1957), 133–149.CrossRefGoogle Scholar
[7]Schwartz, L., ‘Théorie générale des fonctions moyenne-périodiques’, Annals of Math. 48 (1947), 857–929.CrossRefGoogle Scholar