Proceedings of the American Mathematical Society

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Effects of absolute continuity in Feynman's operational calculus


Author: Lance Nielsen
Journal: Proc. Amer. Math. Soc. 131 (2003), 781-791
MSC (2000): Primary 47A60, 46H30; Secondary 47A56, 47B38
Published electronically: July 17, 2002
MathSciNet review: 1937417
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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.


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Additional Information

Lance Nielsen
Affiliation: Department of Mathematics and Computer Science, Creighton University, Omaha, Nebraska 68178-2090
Email: lnielsen@creighton.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06592-9
Keywords: Functional calculus, disentangling, operational calculus
Received by editor(s): July 10, 2001
Received by editor(s) in revised form: October 10, 2001
Published electronically: July 17, 2002
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2002 American Mathematical Society