Skip to main content
SpringerLink
Log in

A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations

  • 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

References

  1. P. L.Butzer and R. J.Nessel, Fourier Analysis and Approximation. Basel-Stuttgart 1971.

  2. A.Erdélyi, W.Magnus, F.Oberhettinger, and F. G.Tricomi, Tables of Integral Transforms, Vols. I and II. New York-London-Toronto 1954.

  3. F. D.Gakhov, Boundary Value Problems (Edited translation prepared from the second revised and enlarged Russian edition, 1963). Reading, Massachusetts-London 1966; Reprinted, New York 1990.

  4. I. I.Hirschman and D. V.Widder, The Convolution Transform. Princeton, New Jersey 1955.

  5. O. I.Marichev, Handbook of Integral Transforms of Higher Transcendental Functions: Theory and Algorithmic Tables. New York-Brisbane-Chichester-Toronto 1983.

  6. H. M.Srivastava and R. G.Buschman, Theory and Applications of Convolution Integral Equations. Dordrecht-Boston 1992.

  7. E. M.Stein, Singular Integrals. Princeton, New Jersey 1970.

  8. E. C.Titchmarsh, Introduction to the Theory of Fourier Integrals, Second edition. Oxford-London-New York 1948.

  9. D. V.Widder, The Laplace Transform. Princeton, New Jersey 1946.

  10. D. V.Widder, An Introduction to Transform Theory. New York-London 1971.

Download references

Author information

Author notes

  1. H. M. Srivastava

    Present address: Department of Mathematics and Statistics, University of Victoria, V8W 3P4, Victoria, British Columbia, Canada

  2. Vu Kim Tuan

    Present address: Institute of Mathematics, National Centre for Scientific Researches, 10000, Bo Ho, Hanoi, Vietnam

Authors and Affiliations

    Authors
    1. H. M. Srivastava
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Vu Kim Tuan
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Dedicated to the memory of Professor David Vernon Widder (1898–1990)

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Srivastava, H.M., Tuan, V.K. A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations. Arch. Math 64, 144–149 (1995). https://doi.org/10.1007/BF01196634

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01196634

    Keywords

    Search

    Navigation