Stability properties for Feynman's operational calculus in the combined continuous/discrete setting

Lance Nielsen

doi:10.1007/s10440-005-6699-0

Stability properties for Feynman's operational calculus in the combined continuous/discrete setting

Lance Nielsen

Department of Mathematics

Research output: Contribution to journal › Article

6 Scopus citations

Abstract

We establish some stability theorems for Feynman's operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts. In particular, we investigate stability in a number of special cases of this blended approach to the operational calculus.

Original language	English (US)
Pages (from-to)	47-79
Number of pages	33
Journal	Acta Applicandae Mathematicae
Volume	88
Issue number	1
DOIs	https://doi.org/10.1007/s10440-005-6699-0
State	Published - Aug 1 2005

Fingerprint

All Science Journal Classification (ASJC) codes

Applied Mathematics

Cite this

Nielsen, L. (2005). Stability properties for Feynman's operational calculus in the combined continuous/discrete setting. Acta Applicandae Mathematicae, 88(1), 47-79. https://doi.org/10.1007/s10440-005-6699-0

@article{f56f6f4a54c94d2faab71c5400bd4d2c,

title = "Stability properties for Feynman's operational calculus in the combined continuous/discrete setting",

abstract = "We establish some stability theorems for Feynman's operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts. In particular, we investigate stability in a number of special cases of this blended approach to the operational calculus.",

author = "Lance Nielsen",

year = "2005",

month = aug,

day = "1",

doi = "10.1007/s10440-005-6699-0",

language = "English (US)",

volume = "88",

pages = "47--79",

journal = "Acta Applicandae Mathematicae",

issn = "0167-8019",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Stability properties for Feynman's operational calculus in the combined continuous/discrete setting

AU - Nielsen, Lance

PY - 2005/8/1

Y1 - 2005/8/1

N2 - We establish some stability theorems for Feynman's operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts. In particular, we investigate stability in a number of special cases of this blended approach to the operational calculus.

AB - We establish some stability theorems for Feynman's operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts. In particular, we investigate stability in a number of special cases of this blended approach to the operational calculus.

UR - http://www.scopus.com/inward/record.url?scp=23944459753&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23944459753&partnerID=8YFLogxK

U2 - 10.1007/s10440-005-6699-0

DO - 10.1007/s10440-005-6699-0

M3 - Article

AN - SCOPUS:23944459753

VL - 88

SP - 47

EP - 79

JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

SN - 0167-8019

IS - 1

ER -

Access to Document

10.1007/s10440-005-6699-0