A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral

We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener integral and the Feynman integral about the direct...

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Autor principal: Kim, Young Sik
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7824518/
https://www.ncbi.nlm.nih.gov/pubmed/33375329
http://dx.doi.org/10.3390/e23010026
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author Kim, Young Sik
author_facet Kim, Young Sik
author_sort Kim, Young Sik
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description We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener integral and the Feynman integral about the directional derivative of a Fourier transform.
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spelling pubmed-78245182021-02-24 A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral Kim, Young Sik Entropy (Basel) Article We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener integral and the Feynman integral about the directional derivative of a Fourier transform. MDPI 2020-12-26 /pmc/articles/PMC7824518/ /pubmed/33375329 http://dx.doi.org/10.3390/e23010026 Text en © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kim, Young Sik
A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
title A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
title_full A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
title_fullStr A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
title_full_unstemmed A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
title_short A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
title_sort partial derivative approach to the change of scale formula for the function space integral
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7824518/
https://www.ncbi.nlm.nih.gov/pubmed/33375329
http://dx.doi.org/10.3390/e23010026
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AT kimyoungsik partialderivativeapproachtothechangeofscaleformulaforthefunctionspaceintegral

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