Tomio Umeda



University of Hyogo
Department of Mathematical Science
Shosha, Himeji 671-2201, Japan
Office: Room 4405
Phone: +81-79-267-4935; Fax: +81-79-266-8868
E-mail: umeda "at" sci.u-hyogo.ac.jp

Research Interest: Spectral theory, Mathematical Physics
Recent publications

  • A sequence of zero modes of Weyl-Dirac operators and an associated sequence of solvable polynomials, Operator Theory: Advances and Applications 219 (2012), 197 - 209. (With Yoshimi Saito)

  • Threshold eigenfunctions and threshold resonances of some relativistic operators, Nanosystem: Physics, Chemistry, Mathematics 2(4) (2011), 1 - 8. (With Yoshimi Saito)

  • The Dirac-Hardy and Dirac-Sobolev inequalities in L^1, Publ. RIMS, Kyoto University, 47 (2011), 791 - 801. (With Alexander A. Balinsky and W. Desmond Evans)

  • Eigenfunctions at the threshold energies of magnetic Dirac operators, Reviews in Mathematical Physics, 23 (2011), 155 - 178. (With Yoshimi Saito)

  • Generalized eigenfunctions of relativistic Schoedinger operators in two dimensions, Electron. J. Diff. Eqns., 2008, No.143 (2008), 1 - 18. (With Dabi Wei)

  • The zero modes and the zero resonances of massless Dirac operators, Hokkaido Mathematical Journal, 37 (2008), 365 - 388. (Wih Yoshimi Saito)

  • The asymptotic limits of zero modes of massless Dirac operators, Letters Math. Phys., 83 (2008), 97 - 106. (With Yoshimi Saito)

  • Representation formulas of the solutions to the Cauchy problems for first order systems, Osaka J. Math., 44 (2007), 197 - 205. (With Masaki Tajiri)

  • Generalized eigenfunctions of relativistic Schoedinger operators I, Electron. J. Diff. Eqns., 2006 No.127 (2006), 1 - 46.




  • Last updated on April 5, 2013.