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位相的ラドン変換の超局所解析と特異点理論への応用

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位相的ラドン変換の超局所解析と特異点理論への応用

Material type
文書・図像類
Author
松井, 優
Publisher
近畿大学
Publication date
2019
Material Format
Digital
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https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K17564/研究種目：基盤研究(C); 研究期間：2015～2018; 課題番号：15K17564; 研究分野：数学(代数解析学); 科研費の分科・細目：Research Paper...

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Summary, etc.：

研究成果の概要（和文）：本研究では，集合のオイラー数をその有限加法的測度とする構成可能関数や定義可能関数といった代数的な背景をもつ関数の積分変換について，反転公式，像の特徴づけ，応用を中心に研究している．本研究課題の研究成果は3つに大別できる：コンパクトグラスマン多様体の間の構成可能関数の位相的ラド...

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Digital

Material Type
文書・図像類
Title
位相的ラドン変換の超局所解析と特異点理論への応用
Author/Editor
松井, 優
Author Heading
松井, 優
Publication, Distribution, etc.
近畿大学
Publication Date
2019
Publication Date (W3CDTF)
2019
Alternative Title
Microlocal analysis of topological Radon transforms and their applications to singularity theory
Periodical title
科学研究費助成事業研究成果報告書 (2018)
Pages
1-4