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Ratios of Laplace Transforms, Mikusiński Operational Calculus

In: Contributions to Functional Analysis

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  • Gregers Krabbe

Abstract

Mikusiński’s theory of convolution quotients [7, 8] yields uniqueness theorems for various kinds of boundary-value problems; further, his theory justifies the standard Heaviside calculations — without the un-necessary assumptions required by Laplace transform techniques. On the other hand, many operational formulas are easier to find by means of the Laplace transformation; especially useful are the inversion formulas and the method of residues.

Suggested Citation

  • Gregers Krabbe, 1966. "Ratios of Laplace Transforms, Mikusiński Operational Calculus," Springer Books, in: Contributions to Functional Analysis, pages 237-245, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-85997-7_14
    DOI: 10.1007/978-3-642-85997-7_14
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