Ratios of Laplace Transforms, Mikusiński Operational Calculus

Gregers Krabbe

A chapter in Contributions to Functional Analysis, 1966, pp 237-245 from Springer

Abstract: 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.

Keywords: Meromorphic Function; Integral Domain; Laplace Transformation; Studia Math; Operational Calculus (search for similar items in EconPapers)
Date: 1966
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DOI: 10.1007/978-3-642-85997-7_14

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