Measure Decomposing Disentangling in Feynman’s Operational Calculus

Dong Hyun Cho; Byoung Soo Kim

doi:10.1007/s11785-022-01281-0

Measure Decomposing Disentangling in Feynman’s Operational Calculus

Dong Hyun Cho
, Byoung Soo Kim

School of Natural Sciences

Kyonggi University

Research output: Contribution to journal › Article › peer-review

Abstract

Formulas which simplify the operation ‘disentangling’ under various conditions are central to the Feynman’s operational calculus. Measure decomposing formulas, for example, Theorems 2.3 and 2.6, simplify the disentangling when the supports of some of the associated measures are divided into two or more subintervals. The results of this paper permit us under appropriate assumptions to reduce the disentangling process by an algebraic manipulation of the analytic function. Some examples to illustrate the results of this paper are given.

Original language	English
Article number	9
Journal	Complex Analysis and Operator Theory
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s11785-022-01281-0
State	Published - Jan 2023

Keywords

Decomposing disentangling
Disentangling
Disentangling algebra
Feynman’s operational calculus

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10.1007/s11785-022-01281-0

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title = "Measure Decomposing Disentangling in Feynman{\textquoteright}s Operational Calculus",

abstract = "Formulas which simplify the operation {\textquoteleft}disentangling{\textquoteright} under various conditions are central to the Feynman{\textquoteright}s operational calculus. Measure decomposing formulas, for example, Theorems 2.3 and 2.6, simplify the disentangling when the supports of some of the associated measures are divided into two or more subintervals. The results of this paper permit us under appropriate assumptions to reduce the disentangling process by an algebraic manipulation of the analytic function. Some examples to illustrate the results of this paper are given.",

keywords = "Decomposing disentangling, Disentangling, Disentangling algebra, Feynman{\textquoteright}s operational calculus",

author = "Cho, \{Dong Hyun\} and Kim, \{Byoung Soo\}",

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year = "2023",

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doi = "10.1007/s11785-022-01281-0",

language = "English",

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N2 - Formulas which simplify the operation ‘disentangling’ under various conditions are central to the Feynman’s operational calculus. Measure decomposing formulas, for example, Theorems 2.3 and 2.6, simplify the disentangling when the supports of some of the associated measures are divided into two or more subintervals. The results of this paper permit us under appropriate assumptions to reduce the disentangling process by an algebraic manipulation of the analytic function. Some examples to illustrate the results of this paper are given.

AB - Formulas which simplify the operation ‘disentangling’ under various conditions are central to the Feynman’s operational calculus. Measure decomposing formulas, for example, Theorems 2.3 and 2.6, simplify the disentangling when the supports of some of the associated measures are divided into two or more subintervals. The results of this paper permit us under appropriate assumptions to reduce the disentangling process by an algebraic manipulation of the analytic function. Some examples to illustrate the results of this paper are given.

KW - Decomposing disentangling

KW - Disentangling

KW - Disentangling algebra

KW - Feynman’s operational calculus

UR - https://www.scopus.com/pages/publications/85144286147

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ER -

Measure Decomposing Disentangling in Feynman’s Operational Calculus

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Keywords

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