Skip to main content
SpringerLink
Log in

Ein Tauberscher Restgliedsatz für Jacobi-Reihen

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Literaturverzeichnis

  1. N. H. Bingham, Tauberian Theorems for Jacobi Series. Proc. London Math. Soc. (3)36, 285–309 (1978).

    Google Scholar 

  2. N. H. Bingham, Integrability Theorems for Jacobi Series. Publ. Inst. Math. (Beograd) (NS) (40)26, 45–56 (1979).

    Google Scholar 

  3. N. H.Bingham, C. M.Goldie and J. L.Teugels, Regular variation. Cambridge 1987, 2. Auflage 1989.

  4. T. H.Ganelius, Tauberian Remainder Theorems. LNM232, Berlin-Heidelberg-New York 1971.

  5. C. M. Goldie andR. L. Smith, Slow Variation with Remainder: Theory and Applications. Quart. J. Math. Oxford (2)38, 45–71 (1987).

    Google Scholar 

  6. K.Knopp, Theorie und Anwendung der unendlichen Reihen. Berlin-Heidelberg-New York, 5. Auflage 1964.

  7. W. Luther, Über das asymptotische Verhalten der trigonometrischen und Hankeischen Integraltransformation. Arch. Math.29, 614–618 (1977).

    Google Scholar 

  8. W. Luther, Taubersche Restgliedsätze für eine Klasse von Fourierkernen. Mitt. Math. Sem. Gießen143, 1–86 (1980).

    Google Scholar 

  9. W. Luther, Abelian and Tauberian Theorems for a Class of Integral Transforms. J. Math. Anal. Appl.96, 365–387 (1983).

    Google Scholar 

  10. W. Luther, The Differentiability of Fourier Gap Series and “Riemann's Example” of a Continuous, Nondifferentiable Function. J. Approx. Theory48, 303–321 (1986).

    Google Scholar 

  11. C. V. Stanojevič, Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli. Bull. Amer. Math. Soc. (NS)19, 283–286 (1988).

    Google Scholar 

  12. G.Szegö, Orthogonal polynomials, 4th ed. Amer. Math. Soc. Colloquium Publ.23, Providence, R. I. 1975.

Download references

Author information

Author notes

  1. N. H. Bingham

    Present address: Department of Mathematics, Royal Holloway and Bedford New College, Egham Hill, TW20 OEX, GB Egham-Surrey

  2. W. J. Luther

    Present address: Lehrstuhl I für Mathematik der Rheinisch Westfälischen Technischen, Hochschule Aachen, Augustinerbach 2a, D-5100, Aachen

Authors and Affiliations

    Authors
    1. N. H. Bingham
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. W. J. Luther
      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

    Bingham, N.H., Luther, W.J. Ein Tauberscher Restgliedsatz für Jacobi-Reihen. Arch. Math 57, 53–60 (1991). https://doi.org/10.1007/BF01200039

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01200039

    Search

    Navigation