Publications




  1. (With S. Helgason) Invariant differential operators on Grassmann manifolds. Advances in Mathematics, Vol. 60, No. 1 (1986), pp. 81-91.

  2. Radon transforms on Grassmann manifolds. Journal of Functional Analysis, Vol. 71, No. 2 (1987), pp. 339-362.

  3. Bi-invariant differential operators on the Euclidean motion group and applications to generalized Radon transforms. Arkiv for Mathematik 26 (1988), pp. 191-204.

  4. On the range of the Radon transform and its dual. Transactions of the American Mathematical Society 327 (1991), pp. 601-619.

  5. Invariant differential operators and the range of the Radon d-plane transform. Mathematische Annalen 287 (1990), pp. 627-635.

  6. 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.

  7. (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.

  8. 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

  9. On the range of the Radon transform on Grassmann manifolds. Accepted, Journal of Functional Analysis.

  10. 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.

  11. A Paley-Wiener Theorem for Central Functions on Compact Semisimple Lie Groups. Contemporary Mathematics, Vol.278, pp.131-136 (2001).

  12. (With T. Kakehi.) Pfaffian Systems and the Range of the Radon Transforms on Affine Grassmann Manifolds. Mathematische Annalen, Vol.326, pp.237-273 (2003)

  13. (With T. Kakehi.) Dual Radon Transforms on Grassmann Manifolds. Transactions of the American Mathematical Society, Vol. 356 No. 10, pp. 4161-4180

  14. (With T. Kakehi) Moment Conditions and Support Theorems for Radon Transforms on Affine Grassmannians. Advances in Mathematics, Vol. 201 (2006), pp.516-548.

  15. (With J. Zhang) The Modified Wave Equation on The Sphere. Contemporary Mathematics, Vol. 405 (2006), pp.47-58.

  16. (With T. Kakehi) Invariant Differential Operators and the Range of the Matrix Radon Transform. Journal of Functional Analysis, Vol. 241 (2006), pp.232-267.

  17. Invariant Differential Operators on Matrix Motion Groups and Applications to the Matrix Radon Transform. Contemporary Mathematics Vol.464 (2008), pp.107-127.

  18. Multitemporal wave equations on symmetric spaces. Proceedings of the Symposium on Representation Theory, Atami, Japan (2008), pp.59-64.

  19. Conical Distributions on the Space of Flat Horocycles. Journal of Lie Theory, Vol. 20 (2010), pp.409-436.

  20. Notes on Integral Geometry and Harmonic Analysis. (128 page monograph) COE Lecture Note Vol. 24: Kyushu University (2010).

  21. Lecture Notes on Lie algebras. (179 pages)

  22. Multi-temporal Wave Equations: Mean Value Solutions. (30 pages) Preprint.