TY - JOUR
T1 - Measure Decomposing Disentangling in Feynman’s Operational Calculus
AU - Cho, Dong Hyun
AU - Kim, Byoung Soo
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2023/1
Y1 - 2023/1
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 - http://www.scopus.com/inward/record.url?scp=85144286147&partnerID=8YFLogxK
U2 - 10.1007/s11785-022-01281-0
DO - 10.1007/s11785-022-01281-0
M3 - Article
AN - SCOPUS:85144286147
SN - 1661-8254
VL - 17
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 1
M1 - 9
ER -