Skip to main content
SpringerLink
Log in

Detecting Mass Points of Representing Measures

  • Published:
Numerical Algorithms Aims and scope Submit manuscript

Abstract

We discuss a possibility of deciding whether measures representing a moment sequence or realizing orthogonality of polynomials have atoms. This is done on the real line and in several variables.

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. C.F. Dunkl and Y. Xu, Orthogonal Polynomials of Several Variables (Cambridge Univ. Press, Cambridge, 2001).

    Google Scholar 

  2. W.D. Evans, L.L. Littlejohn, F. Marcellán, C. Markett and A. Ronveuax, On recurrence relations for Sobolev orthogonal polynomials, SIAM J. Math. Anal. 28 (1995) 446–467.

    Google Scholar 

  3. J. Stochel, A note on general operator dilations over *-semigroups, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 28 (1980) 149–153.

    Google Scholar 

  4. F.H. Szafraniec, Note on a general dilation theorem, Ann. Polon. Math. 38 (1979) 43–47.

    Google Scholar 

  5. F.H. Szafraniec, Sur les fonctions admettant une extension de type positif, C. R. Acad. Sci. Paris Sér. I 292 (1981) 431–432.

    Google Scholar 

  6. F.H. Szafraniec, On interpolation of completely monotonic sequences, Ann. Polon. Math. 42 (1983) 345–347.

    Google Scholar 

  7. F.H. Szafraniec, On extending backwards positive definite sequences, Numer. Algorithms 3 (1992) 419–425.

    Google Scholar 

  8. G. Szegő, Orthogonal Polynomials, 4 ed. (Amer. Math. Soc. Providence, RI, 1985).

    Google Scholar 

  9. D.V. Widder, The Laplace Transform (Princeton Univ. Press, Princeton, 1946).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, Pl-, 30059, Kraków, Poland

    Franciszek Hugon Szafraniec

Authors
  1. Franciszek Hugon Szafraniec
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szafraniec, F.H. Detecting Mass Points of Representing Measures. Numerical Algorithms 33, 475–483 (2003). https://doi.org/10.1023/A:1025513416308

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025513416308

Search

Navigation