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Stability Properties for Feynman’s Operational Calculus in the Combined Continuous/Discrete Setting

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Abstract

We establish some stability theorems for Feynman’s operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts. In particular, we investigate stability in a number of special cases of this blended approach to the operational calculus.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Creighton University, Omaha, NE, 68178, U.S.A.

    Lance Nielsen

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  1. Lance Nielsen
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Correspondence to Lance Nielsen.

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Mathematics Subject Classifications (2000)

Primary: 46J15, 47A56, 47A60, 60B10; secondary: 46N50, 47N50.

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Nielsen, L. Stability Properties for Feynman’s Operational Calculus in the Combined Continuous/Discrete Setting. Acta Appl Math 88, 47–79 (2005). https://doi.org/10.1007/s10440-005-6699-0

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  • DOI: https://doi.org/10.1007/s10440-005-6699-0

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