Research theme for competitive and other funds (31):
2021 - 2024 An estimation of scaling parameters in signals or images based on wavelet analysis
2020 - 2022 四元数値関数の時間周波数解析
2017 - 2020 Image separation based on wavelet analysis
2016 - 2020 Mathematical Problems in Application of Wavelet Analysis and Signal Processing
2017 - 2019 多次元マルチウェーブレット解析の応用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
2012 - 2016 The development of the wavelet theory for partial differential equations and its numerical analysis application
2011 - 2013 Solving an image separation problem using space-scale analysis by wavelets
2010 - 2012 Local super resolution analysis
2009 - 2012 Mathematics of inverse problems and practical solution methods
2008 - 2010 Degenerate Partial Differential Equations, Wavelet Transform, and their Applications
2008 - 2010 An application of time-frequency analysis using wavelet to blind source separation problem
2007 - 2008 Adaptive multiresolution analysis using wavelet and singular value decomposition and its applications to image analysis
2006 - 2007 Blind source separation using time-frequency information obtained from wavelet analysis
2005 - 2007 Degenerate Partial Differential Equations and Integral Transforms
2006 - 2006 実解析を用いた信号及び画像解析における共同研究の調査
2005 - 2006 Micorlocal filtering using wavelet and local multiresolution analysis
2004 - 2006 Inverse problems for partial differential equations in mechanics and engineering science
2002 - 2005 Microlocal analysis and pseudo-differential operators
2003 - 2004 Microlocal filtering with wavelet frames multiresolution analysis
2003 - 2004 Pseudodifferential operators and image analysis
2002 - 2004 Wavelet bases for microlocal filtering and the sampling theorem
2001 - 2004 Microlocal filtering with tight frame wavelets
2001 - 2003 Reconstruction methods in inverse boundary value problems
2001 - 2003 Wavelet frames for microlocal analysis
2003 - Blind sourse separation using wavelet analysis
1997 - 2001 Microlocal filtering with multiwavelets
1997 - 1999 Theory of multi-wavelet and its application
1995 - 1996 Study of Health Monitoring System of Machines by Using Wavelet Transform
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Papers (168):
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
Mawardi Bahri, Ryuichi Ashino. On uncertainty principles for the fractional Fourier transform. INFORMATION. 2021. 24. 2. 85-92
Mawardi Bahri, Amir Kamal Amir, Ryuichi Ashino. Linear canonical wavelet transform: Properties and inequalities. International Journal of Wavelets, Multiresolution and Information Processing. 2021. 19. 6. 2150027-1-2150027-19
Mawardi Bahri, Ryuichi Ashino. An inequality for linear canonical transform. Sensor Networks and Signal Processing Proceedings of the 2nd Sensor Networks and Signal Processing (SNSP 2019), 19-22. 2020. 176. 311-323
Bernstein theorem related to two-sided quaternion Fourier transform
(ISAAC Congress 2021)
On uncertainty Principles Related to Fractional Fourier Transform
(The 10th International Conference on Information 2021)
Uncertainty Principles Related to Fractional Fourier Transform
(日本応用数理学会 2021)
Some Properties of Fractional Wavelet Transform and its Relation to Conventional Wavelet Transform
(The Third International Conference on Mathematical Characterization, Analysis and Applications of Complex Information (CMCAA 2020) Sept 11th - Sept 13th 2020, Beijing, China 2020)
An Inequality for Linear Canonical Transform
(2019 International Conference on Machine Learning and Intelligent Systems (MLIS 2019) 2019)
Education (2):
1983 - 1989 Osaka City University Graduate School of Science Mathematics
1977 - 1981 Kyoto University Faculty of Science 数理系
Professional career (4):
Master of Sciences (Osaka City University)
理学修士 (大阪市立大学)
Doctor of Sciences (Kyoto University)
理学博士 (京都大学)
Work history (6):
2004/05/01 - 2007/04/30 Adjunct Professor, Department of Mathematics and Statistics, Faculty of Arts, York University.
2005/04/01 - Professor, Division of Mathematical Sciences, Faculty of Education, Osaka Kyoiku University.
1997/04/01 - 2005/03/31 Associate Professor, Division of Mathematical Sciences, Faculty of Education, Osaka Kyoiku University.
1996/04/01 - 1997/03/31 Visiting Professor, Faculty of Science, University of Ottawa.
1995/04/01 - 1997/03/31 Associate Professor, Faculty of General Education, College of Industrial Technology.
1992/04/01 - 1995/03/31 Lecturer, Faculty of General Education, College of Industrial Technology.
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Association Membership(s) (5):
International Society for Mathematical Sciences
, Japan Society for Industrial and Applied Mathematics
, Mathematical Society of Japan
, Society for Industrial and Applied Mathematics
, American Mathematical Society