Masakazu Muro

Professor

Office: Room E604, Faculty of Engineering Building

Phone & Fax: +81 58 293 3042

Mail:

Address:

Department of Information Science
Faculty of Engineering
Gifu University
Gifu 501-1193, Japan

Brief History

• Student of Graduate Course, Kyoto University, 1974-1979;
• Research Associate, Kochi University 1979-1988;
• Associate Professor, Gifu University 1988-1995;
• Professor, Gifu University, 1995 - ;

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• PhD in Mathematics, Kyoto University, 1987;

Teaching (2004)

• Calculus I
• Calculus I Practice
• Linear algebra II Practice
• Introductory Statistics
• Elementary Analytic Geometry
• Cryptography
• Computational Algebraic Analysis
• Seminar on Mathematics and Informatics

Research Interests

• Algebraic analysis
• Micro-local analysis of holonomic systems
• Theory of prehomogeneous vector space
• Representation theory of groups and algebras
• Invariant differential equations and hyperfunctions
• Zeta functions associated with prehomogeneous vector spaces

Activities:

• Reviewer of Zentralblatt MATH Database.
• Memberships: Mathematical Society of Japan

Research Papers: (since 1999)

1. Algorithmic construction of hyperfunction solutions to invariant differential equations on the space of real symmetric matrices, (Masakazu Muro) J. Lie Theory, 14, (2004) pp.111-140.
2. Fundamental solutions, Cauchy problems and Huygens principle for invariant differential operators on prehomogeneous vector spaces of commutative parabolic type, (Masakazu Muro) Surikaisekikenkyusho Kokyuroku, 1348，(2003) pp.61-74.
3. Singular invariant hyperfunctions on the square matrix space and the alternating matrix space, (Masakazu Muro) Nagoya Math. J., 169, (2003) p.19-75.
4. Invariant hyperfunction solutions to invariant differential equations on the space of real symmetric matrices, (Masakazu Muro) J. Funct. Anal., 193, (2002) pp.346-384.
5. Construction of hyperfunction solutions to invariant linear differential equations, (Masakazu Muro) Surikaisekikenkyusho Kokyuroku, 1211，(2001) pp.143-154.
6. Singular invariant hyperfunctions on the spaces of Complex and Quaternion Hermitian matrices, (Masakazu Muro) J. of Math. Soc. Japan, 53, (2001) pp.589-602.
7. Hyperfunction solutions of invariant differential equations on the space of real symmetric matrices, (Masakazu Muro) Surikaisekikenkyusho Kokyuroku, 1183，(2000) pp.1-12.
8. An algorithm to compute the b_P-functions via Grobner bases of invariant differential operators on prehomogeneous vector spaces, (Masakazu Muro) Surikaisekikenkyusho Kokyuroku, 1171，(2000) pp.68-81.
9. Singular invariant hyperfunctions on the spaces of symmetric matrices, (Masakazu Muro) Tohoku Math. J., 51, (1999) pp.329 -- 364.
10. Invariant hyperfunctions on the prehomogeneous vector space acting the group $GL_{n}(R) \times SO_{p,q}(R)$, (Masakazu Muro) Surikaisekikenkyusho Kokyuroku, 1082,(1999) pp.93 -- 101.

Research Grants: (since 1997)

• Scientific research grant-in-aid (B) from JSPS: Studies on prehomogeneous vector spaces and micro-local analysis (2003-2005)
• Scientific research grant-in-aid (C) from JSPS: Studies on prehomogeneous vector spaces and micro-local analysis (2001-2002)
• Scientific research grant-in-aid (C) from the Ministry of Education, Science, Sports and Culture of Japan: Studies on prehomogeneous vector spaces and micro-local analysis (1999-2000)
• Scientific research grant-in-aid (C) from the Ministry of Education, Science, Sports and Culture of Japan: Studies on prehomogeneous vector spaces and micro-local analysis (1997-1998)

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• Mitsubishi Foundation Natural Science Grant: Studies on prehomogeneous vector spaces and micro-local analysis (2001-2002)