Skip to main content
SpringerLink
Log in

Determination of Spectra of Functions

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

Boundaries of convex and compact spectra of functions on plane are fully described without passing to the complexification and the Fourier transform.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bang H.H.: Functions with bounded spectrum. Trans. Am. Math. Soc. 347(3), 1067–1080 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  2. Lebedev, V.: On the Fourier transform of the indicator of a domain with C 1-smooth boundary. In: Abstracts of International Conference “Harmonic Analysis and Approximations, III”. September 20–27, Tsahkadzor, Armenia. pp. 50–51 (2005)

  3. Stein E.M., Weiss G.: Introduction to Fourier analysis on Euclidean spaces. Princeton University Press, Princeton (1971)

    MATH  Google Scholar 

  4. Tuan V.K.: On the Paley–Wiener theorem. Theory of Functions and Applications, pp. 193–196. Louys Publishing House, Yerevan (1995)

    Google Scholar 

  5. Tuan V.K.: On the supports of functions. Numer. Funct. Anal. Optim. 20(3 & 4), 387–394 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  6. Tuan V.K.: Spectrum of signals. J. Fourier Anal. Appl. 7(3), 319–323 (2001)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of West Georgia, Carrollton, GA, 30118, USA

    Vu Kim Tuan

Authors
  1. Vu Kim Tuan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vu Kim Tuan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tuan, V.K. Determination of Spectra of Functions. Results. Math. 63, 303–309 (2013). https://doi.org/10.1007/s00025-011-0199-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-011-0199-5

Mathematics Subject Classification (2010)

Keywords

Search

Navigation