Effects of absolute continuity in Feynman's operational calculus

Lance Nielsen

doi:10.1090/S0002-9939-02-06592-9

Effects of absolute continuity in Feynman's operational calculus

Lance Nielsen

Department of Mathematics

Research output: Contribution to journal › Article

8 Scopus citations

Abstract

We investigate the effects of having an absolute continuity relation between the time-ordering measures in Feynman's operational calculus. In particular, we obtain some theorems concerning the formation of functions of several noncommuting operators or operator-valued functions under specific absolute continuity assumptions on the time-ordering measures.

Original language	English (US)
Pages (from-to)	781-791
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-02-06592-9
State	Published - Mar 1 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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Nielsen, L. (2003). Effects of absolute continuity in Feynman's operational calculus. Proceedings of the American Mathematical Society, 131(3), 781-791. https://doi.org/10.1090/S0002-9939-02-06592-9

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