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Transactions of the American Mathematical Society

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

 

 

When is $ \mu \ast L\,\sb{1}$ closed?


Author: I. Glicksberg
Journal: Trans. Amer. Math. Soc. 160 (1971), 419-425
MSC: Primary 42.56; Secondary 46.00
MathSciNet review: 0288523
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Abstract: For a finite measure $ \mu $ on a locally compact abelian group, we partially answer the question of when $ \mu \ast {L_1}$ is closed in $ {L_1}$.


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

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  • [2] Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1969. MR 0410387
  • [3] 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

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0288523-6
Keywords: Locally compact abelian groups, convolve, Fourier transform
Article copyright: © Copyright 1971 American Mathematical Society