David Arthur Weinberg

Publications

A selected list of publications by David Arthur Weinberg.

Publications

  1. The Hilbert transform and maximal function for approximately homogeneous curves, Transactions of the American Mathematical Society, Vol. 267, No. 1, Sept. 1981, pp. 295–306.
  2. Canonical forms for symmetric tensors, Linear Algebra and Its Applications, Vol. 57, 1984, pp. 271–282.
  3. Hilbert transforms for convex curves, with A. Nagel, J. Vance, and S. Wainger, Duke Mathematical Journal, Vol. 50, 1983, pp. 735–744.
  4. The Hilbert transform for a convex curve in Rn, with A. Nagel, J. Vance, and S. Wainger, American Journal of Mathematics, Vol. 108, No. 2, April 1986, pp. 485–504.
  5. The affine classification of cubic curves, Rocky Mountain Journal of Mathematics, Vol. 18, No. 3, 1988, pp. 655–664.
  6. The topological classification of cubic curves, Rocky Mountain Journal of Mathematics, Vol. 18, No. 3, pp. 665–679.
  7. Lp bounds for Hilbert transforms along convex curves, with A. Cordoba, A. Nagel, J. Vance, and S. Wainger, Inventiones Mathematicae, Vol. 83, No. 1, 1986, pp. 59–71.
  8. The maximal function for a convex curve, with A. Nagel, J. Vance, and S. Wainger, Duke Mathematical Journal, Vol. 52, Sept. 1985, pp. 715–722.
  9. Lp estimates for maximal functions and Hilbert transforms along flat convex curves in R2, with H. Carlsson, M. Christ, A. Cordoba, J. Duoandikoetxea, J. Rubio de Francia, J. Vance, and S. Wainger, Bulletin of the American Mathematical Society, Vol. 14, No. 2, 1986, pp. 263–267.
  10. A note on resultants, with C. Martin, Applied Mathematics and Computation, Vol. 24, 1987, pp. 303–309.
  11. Topological equivalence of real binary forms, with D. Witte, Proceedings of the American Mathematical Society, Vol. 112, No. 4, Aug. 1991, pp. 1157–1162.
  12. Polynomials with non-negative coefficients, with R. Barnard, W. Dayawansa, and K. Pearce, Proceedings of the American Mathematical Society, Vol. 113, No. 1, Sept. 1991, pp. 77–85.
  13. A note on canonical forms for matrix congruence, with J. Lee, Linear Algebra and Its Applications, Vol. 249, 1996, pp. 207–215.
  14. A Cantor-Lebesgue theorem with variable “coefficients”, with J. M. Ash and G. Wang, Proceedings of the American Mathematical Society, Vol. 125, No. 1, Jan. 1997, pp. 219–228.
  15. The isotopy classification of affine quartic curves, with A. Korchagin, Rocky Mountain Journal of Mathematics, Vol. 32, No. 1, Spring 2002, pp. 255–347.
  16. Quadric, cubic, and quartic cones, with A. Korchagin, Rocky Mountain Journal of Mathematics, Vol. 35, No. 5, 2005, pp. 1627–1656.
  17. Singular points of real quartic curves via computer algebra, with N. Willis, 22 pages, submitted.
  18. Singular points of real quintic curves via computer algebra, with N. Willis, 35 pages, submitted.
  19. Singular points of real sextic curves, I, with N. Willis, 78 pages, submitted.