Publications
- (With S. Helgason) Invariant differential operators on Grassmann
manifolds. Advances in Mathematics, Vol. 60, No. 1 (1986), pp. 81-91.
- Radon transforms on Grassmann manifolds. Journal of Functional Analysis, Vol. 71, No. 2
(1987), pp. 339-362.
- Bi-invariant differential operators on the Euclidean motion group and applications to generalized
Radon transforms. Arkiv for Mathematik 26 (1988), pp. 191-204.
- On the range of the Radon transform and its dual. Transactions of the American Mathematical
Society 327 (1991), pp. 601-619.
- Invariant differential operators and the range of the Radon d-plane transform. Mathematische
Annalen 287 (1990), pp. 627-635.
- Bi-invariant differential operators on the complex motion group and the range of the d-plane
transform on Cn. Contemporary Mathematics, Vol. 113 (1990), pp. 97-110.
- (With E.T. Quinto) Support theorems for Radon transforms on higher rank symmetric spaces.
Proceedings of the American Mathematical Society, 122 (1994), pp. 1045-1052.
- Range characterization of the k-plane transform on real projective spaces.
Proceedings of the Conference "75 Years of Radon Transform", Vienna 1992, International Press,
Hong Kong (1994), pp. 81-91
- On the range of the Radon transform on Grassmann manifolds. Accepted, Journal of Functional
Analysis.
- John's equation and the Plane to Line Transform on R3. Harmonic Analysis and Integral
Geometry (Massimo Picardello, ed.), Chapman and Hall/CRC (2001), pp.1-7.
- A Paley-Wiener Theorem for Central Functions on Compact Semisimple Lie Groups.
Contemporary Mathematics, Vol.278, pp.131-136 (2001).
- (With T. Kakehi.) Pfaffian Systems and the Range of the Radon Transforms on Affine Grassmann Manifolds.
Mathematische Annalen, Vol.326, pp.237-273 (2003)
- (With T. Kakehi.) Dual Radon Transforms on Grassmann Manifolds. Transactions of the
American Mathematical Society, Vol. 356 No. 10, pp. 4161-4180
- (With T. Kakehi)
Moment Conditions and Support Theorems for Radon Transforms on Affine
Grassmannians. Advances in Mathematics, Vol. 201 (2006), pp.516-548.
- (With J. Zhang) The Modified Wave Equation on The Sphere. Contemporary Mathematics, Vol.
405 (2006), pp.47-58.
- (With T. Kakehi) Invariant Differential Operators and the Range of the Matrix Radon Transform.
Journal of Functional Analysis, Vol. 241 (2006), pp.232-267.
- Invariant Differential Operators on Matrix Motion Groups and Applications to the Matrix Radon
Transform. Contemporary Mathematics Vol.464 (2008), pp.107-127.
- Multitemporal wave equations on symmetric spaces. Proceedings of the Symposium on
Representation Theory, Atami, Japan (2008), pp.59-64.
- Conical Distributions on the Space of Flat Horocycles.
Journal of Lie Theory, Vol. 20 (2010),
pp.409-436.
- Notes on Integral
Geometry and Harmonic Analysis. (128 page monograph) COE Lecture Note Vol. 24:
Kyushu University (2010).
- Lecture Notes on Lie algebras. (179 pages)
- Multi-temporal Wave Equations: Mean Value Solutions. (30 pages) Preprint.