ScholarLens Back to search
2013•Journal of the Korean Mathematical SocietyOpen access

REFLECTION PRINCIPLES FOR GENERAL WIENER FUNCTION SPACES

Ian Pierce, David Skoug

Open full text 2 citations

Abstract

It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.

Open-access reader

About this research paper

What this paper is about

It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.

Key concepts: Reflection principle (Wiener process), Integral representation theorem for classical Wiener space, Mathematics, Classical Wiener space, Reflection (computer programming), Space (punctuation), Class (philosophy), Function space

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
REFLECTION PRINCIPLES FOR GENERAL WIENER FUNCTION SPACES — Research Paper | ScholarLens