The Evaluation of the Complex Inversion Integral by Means of the Calculus of Residues

  • Gustav Doetsch


The complex inversion formula, either with the original, straight line path of integration or with some other, deformed path, is itself neither suited for the immediate numerical evaluation of the sought original function nor qualified to provide the desired insight into the behaviour of this original function f(t). Nevertheless, this formula has practical value, for it serves as the starting point for the development of other representations which are better qualified for the above mentioned purposes.


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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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