Skip to main content
SpringerLink
Log in

Ratios of Laplace transforms, Mikusiński operational calculus

  • Published:
Mathematische Annalen 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

Bibliography

  1. Berg, L.: Einführung in die Operatorenrechnung. Berlin: VEB Deutscher Verlag der Wissensch. 1962.

    Google Scholar 

  2. —— Asymptotische Auffassung der Operatorenrechnung. Studia Math.21, 215–229 (1961/62).

    Google Scholar 

  3. Ditkin, W. A.: Zur Theorie der Operationsberechnung. Dokl. Akad. Nauk SSSR123, 395–396 (1958).

    Google Scholar 

  4. Doetsch, G.: Handbuch der Laplace-Transformation, Band I, Theorie der Laplace-Transformation. Basel: Birkhäuser 1950.

    Google Scholar 

  5. Hille, E.: Analytic function theory, vol. II. Boston: Ginn and Co. 1962.

    Google Scholar 

  6. -- Comptes rendus du Huitième Congrès des mathématiciens scandinaves tenu à Stockholm 14–18 Août 1934. Lund 1935.

  7. Mikusiński, J.: Operational calculus, Fifth edition. Warszawa: Pergamon Press 1959.

    Google Scholar 

  8. —— Sur les fondements du calcul opératoire. Studia Math.11, 41–70 (1950).

    Google Scholar 

  9. —— andC. Ryll-Nardzewsi: Sur l'opérateur de translation. Studia Math.12, 205–207 (1951).

    Google Scholar 

  10. Rjabcev, I. I.: Über die Struktur der Mikusiński-Operatoren in einem pseudonormierten Raum. Izv. Vyssch. Utchebn. Zavedenij Matematika 1958, no.1 (2), 143–151.

  11. -- Lokale Eigenschaften von Mikusiński-Operatoren. Izv. Vyssch. Utchebn. Zavedenij Matematika No.3 (28), 143–150 (1962).

  12. Schwartz, L.: Méthodes mathématiques pour les sciences physiques. Paris: Hermann 1961.

    Google Scholar 

  13. Weston, J. D.: An extension of the Laplace-transform calculus. Rend. Circ. Mat. Palermo (2)6, 325–333 (1957).

    Google Scholar 

  14. —— Operational calculus and generalized functions. Proc. Royal Soc. Ser. A.250, 460–471 (1959).

    Google Scholar 

  15. —— Characterizations of Laplace transforms and perfect operators. Archive Rat. Mech. Analysis3, 348–354 (1959).

    Google Scholar 

  16. —— Positive perfect operators. Proc. London Math. Soc., Ser. 3,10, 545–565 (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lafayette, Ind.

    Gregers Krabbe

Authors
  1. Gregers Krabbe
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

HerrnGottfried Köthe zum 60. Geburtstag am 25. 12. 1965 gewidmet

This research was supported by National Science Foundation grant GP-1665.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krabbe, G. Ratios of Laplace transforms, Mikusiński operational calculus. Math. Ann. 162, 237–245 (1966). https://doi.org/10.1007/BF01360913

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360913

Keywords

Search

Navigation