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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Multipliers on the space of semiperiodic sequences
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by Manuel Núñez Jiménez PDF
Trans. Amer. Math. Soc. 291 (1985), 801-811 Request permission

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
  • Luigi Amerio and Giovanni Prouse, Almost-periodic functions and functional equations, Van Nostrand Reinhold Co., New York-Toronto, Ont.-Melbourne, 1971. MR 0275061, DOI 10.1007/978-1-4757-1254-4
  • Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. I, Academic Press, New York, 1963.
  • Ronald Larsen, An introduction to the theory of multipliers, Die Grundlehren der mathematischen Wissenschaften, Band 175, Springer-Verlag, New York-Heidelberg, 1971. MR 0435738, DOI 10.1007/978-3-642-65030-7
  • Manuel Valdivia, Topics in locally convex spaces, Notas de Matemática [Mathematical Notes], vol. 85, North-Holland Publishing Co., Amsterdam-New York, 1982. 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 & Sons, Inc.), New York-London, 1962. MR 0152834
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 291 (1985), 801-811
  • MSC: Primary 43A22; Secondary 28C05, 42B15, 43A25
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0800264-2
  • MathSciNet review: 800264