Effects of absolute continuity in Feynman's operational calculus

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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


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