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- Ito Yu
- Department of Mathematics, Faculty of Science, Kyoto Sangyo University
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抄録
<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>
収録刊行物
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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
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680092564864
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- NII論文ID
- 130005906734
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 028374016
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 抄録ライセンスフラグ
- 使用不可