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 › peer-review

9 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 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-02-06592-9

Cite this

@article{c6ae9be2f86d47d9ba51f7070899a1cd,

title = "Effects of absolute continuity in Feynman's operational calculus",

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.",

author = "Lance Nielsen",

year = "2003",

month = mar,

doi = "10.1090/S0002-9939-02-06592-9",

language = "English (US)",

volume = "131",

pages = "781--791",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

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

AN - SCOPUS:0037374310

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 -

Effects of absolute continuity in Feynman's operational calculus

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this