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Autumn 2018 A Banach algebra with its applications over paths of bounded variation
Dong Hyun Cho
Adv. Oper. Theory 3(4): 794-806 (Autumn 2018). DOI: 10.15352/aot.1802-1310

Abstract

‎Let $C[0,T]$ denote the space of continuous real-valued functions on $[0,T]$‎. ‎In this paper we introduce two Banach algebras‎: ‎one of them is defined on $C[0,T]$ and the other is a space of equivalence classes of measures over paths of bounded variation on $[0,T]$‎. ‎We establish an isometric isomorphism between them and evaluate analytic Feynman integrals of the functions in the Banach algebras‎, ‎which play significant roles in the Feynman integration theories and quantum mechanics‎.

Citation

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Dong Hyun Cho. "A Banach algebra with its applications over paths of bounded variation." Adv. Oper. Theory 3 (4) 794 - 806, Autumn 2018. https://doi.org/10.15352/aot.1802-1310

Information

Received: 11 February 2018; Accepted: 14 May 2018; Published: Autumn 2018
First available in Project Euclid: 8 June 2018

zbMATH: 06946378
MathSciNet: MR3856173
Digital Object Identifier: 10.15352/aot.1802-1310

Subjects:
Primary: 46J10
Secondary: 28C20, 60H05

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.3 • No. 4 • Autumn 2018
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