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J-GLOBAL ID：200901063317066759 Update date: Apr. 17, 2024

Mandai Takeshi

マンダイタケシ | Mandai Takeshi

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.kisoriko.jp/labs/mandai/index-j.html

Research field (1)： Basic analysis

Research keywords (8)：フックス型偏微分方程式 , 零解 , 退化した偏微分方程式 , ウェーブレット解析 , wavelet , Fuchsian partial differential equations , Null-solutions , Degenerated partial differential equations

Research theme for competitive and other funds (45)：

2021 - 2024 An estimation of scaling parameters in signals or images based on wavelet analysis
2020 - 2023 Time-frequency analysis of quaternion-valued functions.
2017 - 2020 Mathematical problems in application of multi-dimensional multiwavelet analysis
2016 - 2020 ウェーブレット解析の応用や信号処理における数学的諸問題
2014 - 2017 Source separation using N-tree discrete wavelet transform and sparse representation

2013 - 2016 Multidimensional multiwavelet analysis and its application to image processing

2012 - 2016 Mathematical Reasoning in application of wavelet analysis and related problems

2011 - 2013 Solving an image separation problem using space-scale analysis by wavelets

2010 - 2012 Local super resolution analysis

2008 - 2010 An application of time-frequency analysis using wavelet to blind source separation problem

2008 - 2010 Degenerate Partial Differential Equations, Wavelet Transform, and their Applications

2007 - 2008 Adaptive multiresolution analysis using wavelet and singular value decomposition and its applications to image analysis

2005 - 2008 Mathematical Analysis of Model Equations of Multi-Phase Flow Phenomena in Porous Media

2006 - 2007 Blind source separation using time-frequency information obtained from wavelet analysis

2005 - 2007 Degenerate Partial Differential Equations and Integral Transforms

2005 - 2006 Micorlocal filtering using wavelet and local multiresolution analysis

2003 - 2004 Existence and Stability of Non-classical Weak Solutions to Hyperbolic Conservation Laws

2003 - 2004 Microlocal filtering with wavelet frames multiresolution analysis

2003 - 2004 Study of the singularities of solutions of partial differential equations

2003 - 2004 Structure of Solutions to partial differential equations degenerating on several hypersurfaces

2002 - 2003 Influence on Behavior of Solutions of Differential Equations by Two Kinds of Time Lags

2001 - 2003 Research on Systems of Partial Differential Equations Appling the Abstract Algebra

2001 - 2002 Microlocal filtering with multiwavelet frames

2000 - 2002 Structure of the Solutions to Partial Differential Equations Degenerating on the Initial Surface, and its Applications

1999 - 2000 Cauchy Problem for Hyperbolic System of Conservation Laws

1999 - 2000 "Research on prehomogeneous vector spaces and micro-local analysis"

1998 - 1999 Structure of the Solutions to Partial Differential Equations Degenerating on the Initial Surface

1997 - 1998 "Research on prehomogeneous vector spaces and micro-local analysis"

1997 - 1998 Study on symmetric positive systems

1996 - 1996 特性的初期値問題と零解

1995 - 1995 3次元ユークリッド空間内の完備極小曲面の研究

1995 - 1995 特性的初期値問題と零解

1994 - 1994 特性的初期値問題と零解

1993 - 1993 特性的初期値問題と零解

1992 - 1992 弱ユークリッドアルゴリズムを持つ加群、極大整環についての研究

1991 - 1991 ユ-クリッド空間内の完備極小曲面の研究

1990 - 1990 多様体上のシュレディンガ-作用素に対する確率論的アプロ-チについて

1990 - 1990 特異超函数を核とした積分作用素とその応用

1989 - 1989 有限群論特に散在型単純群についての研究

1988 - 1988 代数的整数論、特に類数およびイデアル類群の研究

1987 - 1987 多様体上のシュレディンガー作用素に対する確率論的アプローチについて

1986 - 1986 特性的初期面に対するフラットコーシー問題の研究

ウェーブレットの数学的研究

Mathematical Analysis of Wavelets

Characteristic Cauchy Problems and Null-Solutions

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Papers (27)：

Takeshi Mandai, Ryuichi Ashino, Akira Morimoto. Some Inequalities for Parseval Frames. Trends in Mathematics. 2023. 703-713
Ryuichi Ashino, Takeshi Mandai, Akira Morimoto. Inequalities on the closeness of two vectors in a Parseval frame. Japan Journal of Industrial and Applied Mathematics. 2023
Akira Morimoto, Ryuichi Ashino, Takeshi Mandai. An estimation of mixing coefficients in image separation problem using multiwavelet transforms. 2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR). 2019. 128-133
Akira Morimoto, Ryuichi Ashino, Takeshi Mandai. Detection of Rotation Angles on Image Separation Problem. Analysis, Probability, Applications, and Computation. 2019. 1. 551-558
Akira Morimoto, Ryuichi Ashino, Takeshi Mandai. An estimation of rotation and translation in image separation problem. 2018 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR). 2018. 113-118

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MISC (39)：

Morimoto Akira, Ashino Ryuichi, Ikebe Kazuma, Tatsumi Motoi, Mandai Takeshi. On an $N$-tree discrete wavelet transform (Wavelet analysis and sampling theory). RIMS Kokyuroku. 2014. 1928. 1-26
MANDAI Takeshi, ASHINO Ryuichi, MORIMOTO Akira. Uncertainty principle for continuous wavelet transform (Theory and scientific applications in time-frequency analysis). RIMS Kokyuroku. 2012. 1803. 98-117
Ryuichi Ashino, Takeshi Mandai, Akira Morimoto. BLIND SOURCE SEPARATION OF SPATIO-TEMPORAL MIXED SIGNALS USING PHASE INFORMATION OF ANALYTIC WAVELET TRANSFORM. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING. 2010. 8. 4. 575-594
Ryuichi Ashino, Takeshi Mandai, Akira Morimoto, Fumio Sasaki. Blind source separation of spatio-temporal mixed signals using time-frequency analysis. Applicable Analysis. 2009. 88. 3. 425-456
Ryuichi Ashino, Takeshi Mandai, Akira Morimoto, Fumio Sasaki. Blind source separation of spatio-temporal mixed signals using time-frequency analysis. APPLICABLE ANALYSIS. 2009. 88. 3. 425-456

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Books (1)：

Asymptotic solutions for exceptional cases of characteristic Cauchy problems to Fuchsian partial differential equations
Recent Developments in Evolution Equations, Longman Scientific & Technical. 1995

Education (5)：

- 1986 Kyoto University
- 1986 Kyoto University Graduate School, Division of Natural Science
- 1980 Kyoto University
- 1978 Kyoto University Faculty of Science
- 1978 Kyoto University Faculty of Science

Professional career (2)：

Doctor of Science (Kyoto University)
Master of Science (Kyoto University)

Work history (4)：

2017/04 - 現在 Osaka Electro-Communication University Center for Physics and Mathematics Professor
1999/04 - 2017/03 Osaka Electro-Communication University Faculty of Engineering Professor
1988 - 1999 Gifu University Associate Professor
1985 - 1988 Gifu University Lecturer

Committee career (1)：

2008 - 現在日本応用数理学会ウェーブレット部会幹事,JSIAMLetters 編集委員

Association Membership(s) (3)：

International Society for Analysis its Applications and Computation , The Japan Society for Industrial and Applied Mathematics , The Mathematical Society of Japan

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