Effects of absolute continuity in Feynman's operational calculus

Lance Nielsen

Research output: Contribution to journal › Article

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)781-791
Number of pages11
JournalProceedings of the American Mathematical Society
Volume131
Issue number3
DOIs
StatePublished - Mar 2003

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Operational Calculus
Absolute Continuity
Mathematical operators
Operator
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Effects of absolute continuity in Feynman's operational calculus. / Nielsen, Lance.

In: Proceedings of the American Mathematical Society, Vol. 131, No. 3, 03.2003, p. 781-791.

Research output: Contribution to journal › Article

Nielsen, L 2003, 'Effects of absolute continuity in Feynman's operational calculus', Proceedings of the American Mathematical Society, vol. 131, no. 3, pp. 781-791. https://doi.org/10.1090/S0002-9939-02-06592-9
Nielsen L. Effects of absolute continuity in Feynman's operational calculus. Proceedings of the American Mathematical Society. 2003 Mar;131(3):781-791. https://doi.org/10.1090/S0002-9939-02-06592-9
Nielsen, Lance. / Effects of absolute continuity in Feynman's operational calculus. In: Proceedings of the American Mathematical Society. 2003 ; Vol. 131, No. 3. pp. 781-791.
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