Roger T. Lewis
Department of Mathematics
University of Alabama at Birmingham
Birmingham, Alabama 35294
E-mail:lewis@math.uab.edu
Fax: (205) 934-9025
Telephone: (205) 934-2154

Selected Publications

  1. Hardy and Rellich inequalities with remainders, J. Math. Inequal., 1 (2007), 473-490. (coauthor: W.D. Evans (Cardiff))
  2. Counting eigenvalues of biharmonic operators with a magnetic field, Mathematische Nachrichten, 278 (2005), 1524-1537. (coauthor: W.D. Evans (Cardiff)).
  3. On the Rellich inequality with magnetic potentials, Mathematische Zeitschrift, 251 (October, 2005), 267-284. (coauthor: W.D. Evans (Cardiff)).
  4. The essential spectrum of relativistic multiparticle operators,  Annales de l'Institut Henri Poincaré  Physique Theorique,  (Toulouse), 67 (1997), 1-28. (coauthors: H. Siedentop (Oslo) and S. Vugalter (Nizhni Novgorod)).
  5. Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit,  Arkiv för Matematik (Mittag-Leffler Institute), 34 (1996), 265-283. (coauthors: W.D. Evans (Cardiff), H. Siedentop (Oslo), and J.P. Solovej (Aarhus)).
  6. On the number of bound states of a bosonic N-particle Coulomb system, Mathematische Zeitschrift, 214(1993), 441-460. (coauthors: Volker Bach (Berlin), Elliott Lieb (Princeton), and Heinz Siedentop (Oslo))
  7. The Agmon spectral function for molecular Hamiltonians with symmetry restrictions, Proceedings, Royal Society of London A, 440(1993), 621-638. (coauthors: W.D. Evans (Cardiff) and Y. Saito (UAB))
  8. Some geometric spectral properties of N-body Schrödinger operators, Archive for Rational Mechanics and Analysis (Berlin), 113(1991), 377-400. (coauthors: W.D. Evans (Cardiff) and Y. Saito (UAB))
  9. Eigenvalues below the essential spectra of singular elliptic operators, Transactions of the American Mathematical Society, 271(1986), 197-222. (coauthor: W.D. Evans (Cardiff))
  10. Singular elliptic operators of second order with purely discrete spectra, Transactions of the American Mathematical Society, 271(1982), 653-665.
  11. The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory, Journal for Mathematical Analysis and Applications, 81(1981), 234-277. (coauthors: C.D. Ahlbrandt (Missouri) and D.B. Hinton (Tennessee))
  12. Positive functionals and oscillation criteria for differential systems, Optimal Control and Differential Equations, Academic Press, New York, 245-275, 1978. (coauthor: G.J. Etgen (Houston))
  13. Conjugate points of vector-matrix differential equations, Transactions of the American Mathematical Society, 231(1977), 167-178.
  14. Discrete spectra criteria for singular differential operators with middle terms, The Mathematical Proceedings of the Cambridge Philosophical Society, 77(1975), 337-346. (coauthor: D.B. Hinton (Tennessee))
  15. The discreteness of the spectrum of self-adjoint, even order, one term, differential operators, Proceedings of the American Mathematical Society, 42(1974), 480-482.
  16. Oscillation and nonoscillation criteria for some self-adjoint even order linear differential operators, Pacific Journal of Mathematics, 51(1974), 221-234.

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