Tomoyuki Kakehi

Profile Information

Affiliation: Professor, Faculty of Pure and Applied Sciences, University of Tsukuba

Contact information: kakehimath.tsukuba.ac.jp
J-GLOBAL ID: 200901088685628867
researchmap Member ID: 1000048250

Research History

Dec, 2016 - Present

professor, Faculty of Pure and Applied Sciences, University of Tsukuba
Oct, 2010 - Nov, 2016

professor, Graduate School of Natural Science and Technology, Okayama University
Apr, 2007 - Sep, 2010

associate professor, Faculty of Pure and Applied Sciences, University of Tsukuba
Apr, 2004 - Mar, 2007

associate professor, Faculty of Pure and Applied Sciences, University of Tsukuba
Dec, 1997 - Mar, 2004

associate professor, Institute of Mathematics, University of Tsukuba
Nov, 1994 - Nov, 1997

lecturer, Institute of Mathematics, University of Tsukuba
Oct, 1990 - Oct, 1994

assistant professor, Institute of Mathematics, University of Tsukuba

Education

- 1990

Graduate School, Division of Natural Science, Kyoto University
- 1985

Faculty of Science, Kyoto University

Papers

Surjectivity of convolution operators on noncompact symmetric spaces

Kakehi,Tomoyuki

Journal of Functional Analysis, 280(2), Jan, 2021 Peer-reviewed
Surjectivity of mean value operators on noncompact symmetric spaces

Jens Christensen, Fulton Gonzalez, Tomoyuki Kakehi

JOURNAL OF FUNCTIONAL ANALYSIS, 272(9) 3610-3646, May, 2017
Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian

Kakehi, Tomoyuki, Ohshita, Yoshihito

Mathematical Journal of Okayama University, 59 175-218, Apr, 2017 Peer-reviewed
Schrödinger equations on compact symmetric spaces and Gauss sums

Kakehi, Tomoyuki

Advanced Studies in Pure Mathematics, 64 311-318, 2015 Peer-reviewed
Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms

Kakehi,Tomoyuki

Contemporary Mathematics, 598 129-138, 2013 Peer-reviewed
Support theorem for the fundamental solution to the Schrödinger equation on certain compact symmetric spaces

Kakehi,Tomoyuki

ADVANCES IN MATHEMATICS, 226(3) 2739-2763, Mar, 2011 Peer-reviewed
Behavior of solutions to linear and semilinear parabolic pseudo-differential equations

Kakehi, Tomoyuki, Sakai, Kensuke

Tsukuba Journal of Mathematics, 34(2) 221-253, Dec, 2010 Peer-reviewed
FUNDAMENTAL SOLUTION TO THE SCHRODINGER EQUATION ON A COMPACT SYMMETRIC SPACE (Spectral and Scattering Theory and Related Topics)

Kakehi Tomoyuki

RIMS Kokyuroku, 1696 67-78, Jul, 2010
Invariant differential operators and the range of the matrix Radon transform

Fulton B. Gonzalez, Tomoyuki Kakehi

JOURNAL OF FUNCTIONAL ANALYSIS, 241(1) 232-267, Dec, 2006 Peer-reviewed
Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds

FB Gonzalez, T Kakehi

ADVANCES IN MATHEMATICS, 201(2) 516-548, Apr, 2006 Peer-reviewed
Dual radon transforms on affine Grassmann manifolds

FB Gonzalez, T Kakehi

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 356(10) 4161-4180, 2004
Pfaffian systems and Radon transforms on affine Grassmann manifolds

Kakehi, Tomoyuki, Gonzalez, Fulton

Mathematische Annalen, 326(2) 537-573-273, 2003 Peer-reviewed
Radon transforms on compact Grassmann manifolds and invariant differential operators of determinantal type

Kakehi, Tomoyuki

Chapman & Hall/CRC. Research Notes in Mathematics, 422 9-17, 2000 Peer-reviewed
Integral Geometry on Grassmann Manifolds and Calculus of Invariant Differential Operators

Kakehi, Tomoyuki

Journal of Functional Analysis, 168(1) 1-45-45, 1999 Peer-reviewed
Range theorems and inversion formulas for Radon transforms on Grassmann manifolds

Kakehi, Tomoyuki

Proceedings of the Japan Academy Series A, 73(5) 89-92-92, 1997 Peer-reviewedCorresponding author
Range characterization of Radon transforms on quaternionic projective spaces

Kakehi, Tomoyuki

Mathematische Annalen, 301(3) 613-625-555, 1995 Peer-reviewedCorresponding author
Logarithmic divergence of heat kernels on some quantum spaces

Kakehi, Tomoyuki, Masuda, Tetsuya

Tohoku Mathematical Journal, 47(4) 595-600-600, 1995 Peer-reviewedCorresponding author
Spectral analysis of a q-differnce operator which arises from the quantum SU(1,1)group

Kakehi, Tomoyuki, Masuda, Tetsuya, Ueno, Kimio

Journal of Operator Theory, 33(1) 159-196, 1995 Peer-reviewedCorresponding author
Range characterization of Radon transforms on quaternionic projective spaces

Kakehi, Tomoyuki

Mathematische Annalen, 301(3) 613-625, 1995 Peer-reviewed
Eigenfunction expansion associated with the Casimir operator on the quantum group SUq(1,1)

Kakehi, Tomoyuki

Duke Mathematical Journal, 80(2) 535-573-573, 1995 Peer-reviewed

Books and Other Publications

微積分学入門-例題を通して学ぶ解析学

磯崎洋, 筧知之, 木下保, 竹山美宏, 籠屋恵嗣, 砂川秀明

培風館, 2008

Presentations

Surjectivity of convolution operators

筧, 知之

Geometric Structures and Differential Equations -- Symmetry, Singularity, and Quantization --, Mar 14, 2022, Daisuke Tarama Invited
Mean value operators on noncompact symmetric spaces

Kakehi,Tomoyuki

Modern Challenges in Imaging Conference, Aug 5, 2019 Invited
平均値作用素の全射性について

筧,知之

岡山－広島解析・確率論セミナー, Feb 20, 2017 Invited
Construction of the fundamental solution to the Schr¨odinger equation on compact symmetric spaces and related problems

筧,知之

第1 回解析学の耳袋, Jan 14, 2015 Invited
Fundamental solution to the Schr¨odinger equation on compact symmetric spaces

Kakehi,Tomoyuki

Inverse Problems and Related Topics, Aug 18, 2014, International Euler Mathematical Institute Invited
Schr¨odinger equation on compact symmetric spaces and reciprocity for Gauss sums

Kakehi,Tomoyuki

Geometric and Singular Analysis, Mar 24, 2014, Potsdam University Invited

Professional Memberships

Jul, 1989 - Present

日本数学会

Profile Information

Research History

Education

Papers

Books and Other Publications

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