Pacific Journal of Mathematics

On the spectra of multipliers.

Misha Zafran

Article information

Source
Pacific J. Math., Volume 47, Number 2 (1973), 609-626.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102945891

Mathematical Reviews number (MathSciNet)
MR0326309

Zentralblatt MATH identifier
0262.43008

Subjects
Primary: 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

Citation

Zafran, Misha. On the spectra of multipliers. Pacific J. Math. 47 (1973), no. 2, 609--626. https://projecteuclid.org/euclid.pjm/1102945891


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References

  • [1] N. Dunford and J. Schwartz, Linear Operators, Part I, Interscience Publishers, Inc., New York, fourth printing, 1967.
  • [2] R. E. Edwards, Fourier Series:A Modern Introduction,vol. II, Holt, Rinehart, and Winston, Inc., New York, 1967.
  • [3] A. Figa-Talamanca and G. Gaudry, Multipliers of I> which vanish at infinity,J. of Functional Analysis, 7, No. 3 (1971), 475-486.
  • [4] E. Hewitt and H. Zuckerman, Singular measures with absolutely continuous con- volution squares, Proc. Cambridge Philos. Soc, 62 (1966), 399-420.
  • [5] L. Hrmander, Estimatesfortranslationinvariantoperators in L? spaces, Acta Math., 104 (1960), 93-140.
  • [6] R. Larsen, The Multiplier Problem, Lecture Notes in Mathematics, Springer-Verlag, Berlin, Heidelberg, New York, 1969.
  • [7] L. Loomis, An Introductionto Abstract HarmonicAnalysis,D. Van Nostrand Company, Inc., Princeton, New Jersey, 1953.
  • [8] W. Rudin, Fourier Analysison Groups, Interscience tracts in pure and applied mathematics, No. 12, 2nd edition, 1967.
  • [9] N. Varopoulos,. Sets of multiplicityin locally compact abelian groups, Ann. Inst. Fourier (Grenoble), 16, Fasc. 2 (1966), 123-158.
  • [10] N. Varopoulos, The functionsthat operate on Bo() of a discrete group , Bull. Soc. Math. France, 93 (1965), 301-321.
  • [11] A. Zygmund, Trigonometric Series, vol. I and II combined, Cambridge University- Press, 2nd edition, 1968.