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2009•Unpublished venueRequires access

A FRESNEL TYPE CLASS ON FUNCTION SPACE

Seung Jun Chang, Jae Gil Choi, Sang-Deok Lee

Open publisher page 5 citations

Abstract

In this paper we define a Banach algebra on very general function space induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.

About this research paper

What this paper is about

In this paper we define a Banach algebra on very general function space induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we define a Banach algebra on very general function space induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.

Key concepts: Integral representation theorem for classical Wiener space, Classical Wiener space, Mathematics, Class (philosophy), Banach algebra, Generalization, Function space, Pure mathematics

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