Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Multipliers on the space of semiperiodic sequences

Author: Manuel Núñez Jiménez
Journal: Trans. Amer. Math. Soc. 291 (1985), 801-811
MSC: Primary 43A22; Secondary 28C05, 42B15, 43A25
MathSciNet review: 800264
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Semiperiodic sequences are defined to be the uniform limit of periodic sequences. They form a space of continuous functions on a compact group $ \Delta$. We study the properties of the Radon measures on $ \Delta$ in order to classify the multipliers for the space of semiperiodic sequences, paying special attention to those which can be realized as transference functions of physically constructible filters.

References [Enhancements On Off] (What's this?)

  • [1] Luigi Amerio and Giovanni Prouse, Almost periodic functions, Reinhold, New York, 1971. MR 0275061 (43:819)
  • [2] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. I, Academic Press, New York, 1963.
  • [3] Ronald Larsen, An introduction to the theory of multipliers, Springer-Verlag, New York, 1971. MR 0435738 (55:8695)
  • [4] Manuel Valdivia, Topics in locally convex spaces, North-Holland, Amsterdam, 1982. MR 671092 (84i:46007)
  • [5] M. E. Munroe, Measure and integration, Addison-Wesley, Reading, Mass., 1971.
  • [6] Walter Rudin, Fourier analysis on groups, Interscience, New York, 1962. MR 0152834 (27:2808)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 43A22, 28C05, 42B15, 43A25

Retrieve articles in all journals with MSC: 43A22, 28C05, 42B15, 43A25

Additional Information

Keywords: Semiperiodic sequences, Radon measures, Fourier analysis, multipliers
Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society