Advertisement

Mathematische Annalen

, Volume 159, Issue 4, pp 223–233 | Cite as

The representation of functions as Laplace transforms

  • J. L. B. Cooper
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Berens, H., u.P. L. Butzer: Über die Darstellung holomorpher Funktionen durch Laplace- und Laplace-Stieltjes-Integrale. Math. Z.81, 124–134 (1963).Google Scholar
  2. [2]
    —— —— Über die Darstellung vektorwertiger holomorpher Funktionen durch Laplace-Integrale. Math. Ann.158, 269–283 (1965).Google Scholar
  3. [3]
    Cooper, J. L. B.: Fourier transforms and inversion formulae forL D functions. Proc. London Math. Soc. (3),14, 271–298 (1963).Google Scholar
  4. [4]
    Doetsch, G.: Handbuch der Laplace-Transformation, I. Basel: Birkhäuser 1950.Google Scholar
  5. [5]
    Dunford, N., andJ. T. Schwartz: Linear operators, I. Interscience, N.Y. 1958.Google Scholar
  6. [6]
    Hille, E., andJ. D. Tamarkin: On the theory of Laplace integrals. Proc. Nat. Acad. Sci.19, 908–912 (1933);20, 140–144 (1934).Google Scholar
  7. [7]
    Pólya, G., u.G. Szegö: Aufgaben und Lehrsätze aus der Analysis, I. Berlin: Springer 1925.Google Scholar
  8. [8]
    Titchmarsh, E. C.: Theory of Fourier Integrals. Oxford 1937.Google Scholar
  9. [9]
    -- Theory of functions. Oxford 1932.Google Scholar
  10. [10]
    Widder, D. V.: The Laplace Transform. Princeton 1946.Google Scholar

Copyright information

© Springer-Verlag 1965

Authors and Affiliations

  • J. L. B. Cooper
    • 1
  1. 1.Pasadena

Personalised recommendations