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Volume 11
Issue 12
10.3390/axioms11120707
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Article

A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator

by
Hyun Soo Chung
Department of Mathematics, Dankook University, Cheonan 31116, Republic of Korea
Axioms 2022, 11(12), 707; https://doi.org/10.3390/axioms11120707
Submission received: 8 November 2022 / Revised: 28 November 2022 / Accepted: 5 December 2022 / Published: 8 December 2022
(This article belongs to the Special Issue Operator Theory and Applications)
Review Reports Versions Notes

Abstract

In this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration formulas and relationships involving the generalized Cameron–Storvick theorem. Finally, we give some examples to explain the usefulness of our research.
Keywords: generalized analytic Feynman integral; bounded operator; translation theorem; first variation; Cameron–Storvick theorem; abstract Wiener space generalized analytic Feynman integral; bounded operator; translation theorem; first variation; Cameron–Storvick theorem; abstract Wiener space

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MDPI and ACS Style

Chung, H.S. A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator. Axioms 2022, 11, 707. https://doi.org/10.3390/axioms11120707

AMA Style

Chung HS. A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator. Axioms. 2022; 11(12):707. https://doi.org/10.3390/axioms11120707

Chicago/Turabian Style

Chung, Hyun Soo. 2022. "A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator" Axioms 11, no. 12: 707. https://doi.org/10.3390/axioms11120707

APA Style

Chung, H. S. (2022). A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator. Axioms, 11(12), 707. https://doi.org/10.3390/axioms11120707

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