Skip to main content

Fourier multipliers on Lp

  • 631 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 434)

Keywords

  • Bounded Linear Operator
  • Fourier Multiplier
  • Riesz Representation Theorem
  • Convergent Fourier Series
  • Fourier Inversion Formula

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   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
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. A. Beurling, Sur les intégrales de Fourier absolument convergentes et leur applications à une transformation functionelle, IX Congrès des Math. Scandinave, Helsingfors (1935), 345–366.

    Google Scholar 

  2. J.G. van der Corput, Zur Methode der Stationären Phase I, Mopositio Math. 1 (1934), 15–38.

    MATH  Google Scholar 

  3. L. Hörmander, Estimates for translation invariant operators in Lp spaces, Acta Math. 104 (1960), 93–140.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. L. Hörmander, Linear Partial Differential Operators, Springer, Berlin 1969.

    CrossRef  MATH  Google Scholar 

  5. M. Jodeit, Restrictions and extensions of Fourier multipliers, Studia Math. 34 (1970), 215–226.

    MathSciNet  MATH  Google Scholar 

  6. W. Rudin, Fourier Analysis on Groups, Interscience, New York 1962.

    MATH  Google Scholar 

  7. W. Rudin, Real and Complex Analysis, McGraw-Hill, New York 1966.

    MATH  Google Scholar 

  8. A. Zygmund, Trigonometric Series II, Cambridge University Press, Cambridge 1959.

    MATH  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this chapter

Cite this chapter

Brenner, P., Thomée, V., Wahlbin, L.B. (1975). Fourier multipliers on Lp . In: Besov Spaces and Applications to Difference Methods for Initial Value Problems. Lecture Notes in Mathematics, vol 434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068126

Download citation

  • DOI: https://doi.org/10.1007/BFb0068126

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07130-3

  • Online ISBN: 978-3-540-37400-8

  • eBook Packages: Springer Book Archive