The Complex Inversion Formula for the Simply Converging Laplace Transformation

  • Gustav Doetsch


The inversion formula of Theorem 24.4 is contingent on two restricting hypotheses: L{f} must have a half-plane of absolute convergence, and f must be of bounded variation near the point t where f(t) is to be evaluated. Using the Integration Theorem 8.1, we can develop an inversion formula which is not contingent on these two hypotheses.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • Gustav Doetsch
    • 1
  1. 1.Emeritus of MathematicsUniversity of FreiburgFreiburg i. Br.Germany

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