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?)

  • Luigi Amerio and Giovanni Prouse, Almost-periodic functions and functional equations, Van Nostrand Reinhold Co., New York-Toronto, Ont.-Melbourne, 1971. MR 0275061
  • Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. I, Academic Press, New York, 1963.
  • Ronald Larsen, An introduction to the theory of multipliers, Springer-Verlag, New York-Heidelberg, 1971. Die Grundlehren der mathematischen Wissenschaften, Band 175. MR 0435738
  • Manuel Valdivia, Topics in locally convex spaces, North-Holland Mathematics Studies, vol. 67, North-Holland Publishing Co., Amsterdam-New York, 1982. Notas de Matemática [Mathematical Notes], 85. MR 671092
  • M. E. Munroe, Measure and integration, Addison-Wesley, Reading, Mass., 1971.
  • Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley and Sons), New York-London, 1962. MR 0152834

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