### 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 |
---|---|

Pages (from-to) | 781-791 |

Number of pages | 11 |

Journal | Proceedings of the American Mathematical Society |

Volume | 131 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2003 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

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

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 131, no. 3, pp. 781-791. https://doi.org/10.1090/S0002-9939-02-06592-9

}

TY - JOUR

T1 - Effects of absolute continuity in Feynman's operational calculus

AU - Nielsen, Lance

PY - 2003/3

Y1 - 2003/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037374310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037374310&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-02-06592-9

DO - 10.1090/S0002-9939-02-06592-9

M3 - Article

VL - 131

SP - 781

EP - 791

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -