Advanced Studies in Pure Mathematics

Rough path conditions for smooth paths

Keisuke Hara

Full-text: Open access

Abstract

We show that there exist non-trivial smooth paths that have rough path property. The applications and the related open problems are also discussed.

Article information

Source
Probabilistic Approach to Geometry, M. Kotani, M. Hino and T. Kumagai, eds. (Tokyo: Mathematical Society of Japan, 2010), 129-139

Dates
Received: 15 January 2009
Revised: 18 May 2009
First available in Project Euclid: 24 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543086315

Digital Object Identifier
doi:10.2969/aspm/05710129

Mathematical Reviews number (MathSciNet)
MR2605414

Zentralblatt MATH identifier
1203.26014

Subjects
Primary: 26A45: Functions of bounded variation, generalizations 42A20: Convergence and absolute convergence of Fourier and trigonometric series

Keywords
Rough path Fourier transform

Citation

Hara, Keisuke. Rough path conditions for smooth paths. Probabilistic Approach to Geometry, 129--139, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/05710129. https://projecteuclid.org/euclid.aspm/1543086315


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