Study on harmonic analysis, partial differential equations and complex analysis
Study on harmonic analysis, partial differential equations and complex analysis
批准号:
08304009
负责人:
ARAI Hitoshi
金额:
$5.18万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (A)
财政年份:
1996
资助国家:
日本
项目状态:
已结题
起止时间:
1996 至 1998
中文摘要
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英文摘要
In this research project, we study harmonic analysis, partial differential equations, and complex analysis of several variables. We obtained results on the following topics : singular elliptic equations on Riemannian manifolds, pseudodifferential equations on stratified Lie groups, Bloch functions of several complex variables, Toeplitz operators, parabolic equations on Riemannian manifolds, tangential Cauchy-Riemann equations on strongly pseudoconvex CR manifolds, Hankel transforms, and some function spaces related to harmonic analysis. See the reference for details. We organized "Harmonic Analysis Seminar" (1996, 1997, 1998), and "Symposium on Harmonic Analysis, Partial Differential Equations, and Complex Analysis" (Jan. 1997, Jan. 1998). We printed and distributed the proceedings of these conferences to many Japanese researchers and institutions.
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M.Murata and K.Kurata: "Partial Differential Equations 1" Iwanami. 1997.
M.Murata 和 K.Kurata:“偏微分方程 1”Iwanami。
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勘甚裕一: "Hardy's inequalities for Hermite and Laguerre expansions" Bull.London Math.Soc.(発表予定).
Yuichi Kanjin:“哈代的埃尔米特和拉盖尔展开不等式”Bull.London Math.Soc。
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倉田和浩: "On doubling property for non-negative weak solutions of elliptic and Parabolic PDE" Israel J.Math.印刷中.
Kazuhiro Kurata:“关于椭圆和抛物型偏微分方程非负弱解的加倍性质”Israel J.Math 正在出版。
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新井仁之: "フーリエ解析と関数解析学" 培風館 近刊,
新井仁:《傅里叶分析与泛函分析》百风馆即将出版,
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Hitoshi Arai: "Morney spaces and applications to hypoelliptic equations on Cauchy-Riemann manifolds" Aspects of Math : "Algelera, Geometry and Several Comple* Variables". (in press).
Hitoshi Arai:“莫尼空间及其在柯西-黎曼流形上的亚椭圆方程中的应用”数学方面:“阿尔杰拉、几何和几个复杂*变量”。
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共 37 条
Harmonic analysis of framelets and applications to image processing
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批准号:23540123
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$1.66万
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财政年份:2011
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负责人:ARAI Hitoshi
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依托单位:
Multi-wavelet frames and applications to harmonic analysis
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批准号:16340035
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$5.38万
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财政年份:2004
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负责人:ARAI Hitoshi
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依托单位:
Wavelet like basis on manifolds and their applications to harmonic analysis
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批准号:14540154
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.62万
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财政年份:2002
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负责人:ARAI Hitoshi
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依托单位:
Study of harmonic analysis and applications to partial differential equations
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批准号:11440037
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项目类别:Grant-in-Aid for Scientific Research (B)
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资助金额:$6.4万
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财政年份:1999
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负责人:ARAI Hitoshi
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依托单位:
海外基金