Skip to main content

Multipliers on spaces of functions with p-summable fourier transforms

  • 515 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1359)

Keywords

  • Banach Space
  • Compact Abelian Group
  • Reverse Inclusion
  • Closed Graph Theorem
  • Approximate Unit

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gregory F. Bachelis and John E. Gilbert, Banach spaces of compact multipliers and their dual spaces. Math.Z. 125(1972), 285–297.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Lynette M. Bloom, The Fourier multiplier problem for spaces of continuous functions with p-summable transforms. J. Austral. Math Soc. 17(1974), 319–331.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. G. Crombez, Almost periodic pseudo-measures and compact multiplication operators. Simon Stevin 55(1981), 7–15.

    MathSciNet  MATH  Google Scholar 

  4. Alessandro Figà-Talamanca and Garth I. Gaudry, Multipliers of Lp which vanish at infinity. J. Funct. Anal. 7(1971), 475–486.

    CrossRef  MATH  Google Scholar 

  5. A.K. Gupta and U.B. Tewari, Multipliers between some function spaces on groups. Bull.Austral. Math.Soc. 18(1978), 1–11.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis, vols. I, II. Die Grundlehren der mathematischen Wissenschaften, Bände 115, 152, Springer-Verlag, Berlin, Göttingen, Heidelberg, New York, 1963, 1970.

    Google Scholar 

  7. Edwin Hewitt and Karl Stromberg, Real and abstract analysis. Springer-Verlag, Berlin, Heidelberg, New York, 1965.

    CrossRef  MATH  Google Scholar 

  8. Ronald Larsen, An introduction to the theory of multipliers. Die Grundlehren der mathematischen Wissenschaften, Band 175, Springer-Verlag, Berlin, Heidelberg, New York, 1971.

    Google Scholar 

  9. Ronald Larsen, T.S. Liu and J.K. Wang, On functions with Fourier transforms in Lp. Michigan Math. J. 11(1964), 369–378.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. U.B. Tewari and K. Parthasarathy, Compact multipliers of Segal algebras. Indian J. Pure Appl. Math.14(1983), 194–201.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Bloom, L.M., Bloom, W.R. (1988). Multipliers on spaces of functions with p-summable fourier transforms. In: Eymard, P., Pier, JP. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086591

Download citation

  • DOI: https://doi.org/10.1007/BFb0086591

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50524-2

  • Online ISBN: 978-3-540-46032-9

  • eBook Packages: Springer Book Archive