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Kakehi Tomoyuki

Affiliation
Faculty of Pure and Applied Sciences
Official title
Professor
Research projects
Differential Equations on Symmetric Spaces and Integral Geometry -- (current)/
Spectral analysis of difference operator and its application to quantum groups -- (current)/
等質空間上のラドン変換と調和解析への応用2007 -- 2009Japan Society of for the Promotion of Science/基盤研究(C)4,420,000Yen
グラスマン多様体上の調和解析とラドン変換および逆問題解析への応用 2004 -- 2006Japan Society of for the Promotion of Science/基盤研究(C)3,700,000Yen
小行列式型微分作用素の大域的性質と対称空間上の積分幾何2002 -- (current)Japan Society of for the Promotion of Science/基盤研究(C)4,000,000Yen
パフィアン型微分方程式の解空間の構造と対称空間上の積分幾何2000 -- (current)Japan Society of for the Promotion of Science/奨励研究(A)2,200,000Yen
カペリ型微分作用素の積分幾何学的研究と調和解析への応用1998 -- (current)Japan Society of for the Promotion of Science/奨励研究(A)2,300,000Yen
Career history
2016-12 -- (current)University of Tsukuba Faculty of Pure and Applied Sciences professor
2010-10 -- 2016-11University of Tsukuba Graduate School of Natural Science and Technology professor
2007-04 -- 2010-09University of Tsukuba Faculty of Pure and Applied Sciences associate professor
2004-04 -- 2007-03University of Tsukuba Faculty of Pure and Applied Sciences associate professor
1997-12 -- 2004-03University of Tsukuba Institute of Mathematics associate professor
1994-11 -- 1997-11University of Tsukuba Institute of Mathematics lecturer
1990-10 -- 1994-10University of Tsukuba Institute of Mathematics assistant professor
Academic background
-- 1985Kyoto University Faculty of Science 数学科
-- 1990Kyoto University Graduate School, Division of Natural Science 数学Accomplished credits for doctoral program
Degree
1993-01博士(理学)京都大学
Academic societies
1989-07 -- (current)日本数学会
Articles
  • Behavior of solutions to linear and semilinear parabolic pseudo-differential equations
    Kakehi Tomoyuki; Sakai Kensuke
    Tsukuba Journal of Mathematics/34(2)/pp.221-253, 2010-12
  • Support theorem for the fundamental solution to the Schrödinger equation on certain compact symmetric spaces
    Kakehi Tomoyuki
    ADVANCES IN MATHEMATICS/226(3)/pp.2739-2763, 2011-03
  • Surjectivity of mean value operators on noncompact symmetric spaces
    Christensen Jens; Gonzalez Fulton; Kakehi Tomoyuki
    JOURNAL OF FUNCTIONAL ANALYSIS/272(9)/pp.3610-3646, 2017-05
  • 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/pp.175-218, 2017-04
  • Schrödinger equations on compact symmetric spaces and Gauss sums
    Kakehi Tomoyuki
    Advanced Studies in Pure Mathematics/64/pp.311-318, 2015
  • Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms
    Kakehi Tomoyuki
    Contemporary Mathematics/598/pp.129-138, 2013
  • FUNDAMENTAL SOLUTION TO THE SCHRODINGER EQUATION ON A COMPACT SYMMETRIC SPACE (Spectral and Scattering Theory and Related Topics)
    筧 知之
    RIMS Kokyuroku/1696/pp.67-78, 2010-07
  • Invariant differential operators and the range of the matrix Radon transform
    Gonzalez Fulton; Kakehi Tomoyuki
    JOURNAL OF FUNCTIONAL ANALYSIS/241(1)/pp.232-267, 2006-12
  • Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds
    Gonzalez FB; Kakehi T
    ADVANCES IN MATHEMATICS/201(2)/pp.516-548, 2006-04
  • Dual radon transforms on affine Grassmann manifolds
    Gonzalez FB; Kakehi T
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY/356(10)/pp.4161-4180, 2004-01
  • Pfaffian systems and Radon transforms on affine Grassmann manifolds
    Kakehi Tomoyuki; Gonzalez Fulton
    Mathematische Annalen/326(2)/p.537-573, 2003
  • Radon transforms on compact Grassmann manifolds and invariant differential operators of determinantal type
    Kakehi Tomoyuki
    Chapman & Hall/CRC. Research Notes in Mathematics/422/p.9-17, 2000
  • Integral Geometry on Grassmann Manifolds and Calculus of Invariant Differential Operators
    Kakehi Tomoyuki
    Journal of Functional Analysis/168(1)/p.1-45, 1999
  • Range theorems and inversion formulas for Radon transforms on Grassmann manifolds
    Kakehi Tomoyuki
    Proceedings of the Japan Academy Series A/73(5)/p.89-92, 1997
  • Eigenfunction expansion associated with the Casimir operator on the quantum group SUq(1,1)
    Kakehi Tomoyuki
    Duke Mathematical Journal/80(2)/p.535-573, 1995
  • Range characterization of Radon transforms on quaternionic projective spaces
    Kakehi Tomoyuki
    Mathematische Annalen/301(3)/p.613-625, 1995
  • 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)/p.159-196, 1995
  • Logarithmic divergence of heat kernels on some quantum spaces
    Kakehi Tomoyuki; Masuda Tetsuya
    Tohoku Mathematical Journal/47(4)/p.595-600, 1995
  • Range characterization of Radon transforms on Sn and (]G0343[)n (]G0454[)
    Kakehi Tomoyuki
    Journal of Mathematics of Kyoto University/33(2)/p.315-328, 1993
  • Characterization of Images of Radon Transforms
    Kakehi Tomoyuki; Tsukamoto Chiaki
    Advanced Studies in Pure Mathematics/22/p.101-116, 1993
  • Spectrum of an operator appears in the quantum SU(1,1) group
    Kakehi Tomoyuki; Masuda Tetsuya; Ueno Kimio
    Mathematical Physics Studies/16/p.253-261, 1993
  • Range characterization of Radon transforms on complex projective spaces
    Kakehi Tomoyuki
    Journal of Mathematics of Kyoto University/32(2)/p.387-399, 1992
Books
  • 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
Conference, etc.
  • 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/2017-02-20--2017-02-21
  • 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/2015-01-14--2015-01-16
  • Fundamental solution to the Schr¨odinger equation on compact symmetric spaces
    Kakehi Tomoyuki
    Inverse Problems and Related Topics/2014-08-18--2014-08-22
  • Schr¨odinger equation on compact symmetric spaces and reciprocity for Gauss sums
    Kakehi Tomoyuki
    Geometric and Singular Analysis/2014-03-24--2014-03-28
Teaching
2019-10 -- 2020-02Research in Analysis IAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis IIIAUniversity of Tsukuba.
2019-07 -- 2019-07Analysis IUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IVBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IIAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis IVAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IIIBUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis VAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis IIBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IVAUniversity of Tsukuba.

(Last updated: 2018-11-22)