Extension theorem for rough paths via fractional calculus
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- Ito Yu
- Department of Mathematics, Faculty of Science, Kyoto Sangyo University
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Abstract
<p>On the basis of fractional calculus, we introduce an integral of weakly controlled paths, which is a generalization of integrals in the context of rough path analysis. As an application, we provide an alternative proof of Lyons' extension theorem for geometric Hölder rough paths together with an explicit expression of the extension map.</p>
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 69 (3), 893-912, 2017
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680092564864
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- NII Article ID
- 130005906734
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 028374016
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed