I am an analyst. Most of my research has been in the area of potential theory. My latest research interest is in determining various boundary behahiour of harmonic functions and potentials at the Martin boundary of a tree. This work is done in collaboration with David Singman of George Mason University.

Selected publications:

  1. Limites fines (à la frontière) dans la théorie axiomatique du potentiel (de M. Brelot)
    C.R. Acad. Sc. Paris 255 (1962), 450-451.
  2. Limites fines et probléme de Dirichlet.
    C.R. Acad. Sc. Paris 256 (1963) 357-358.
  3. Extreme harmonic functions and boundary value problems.
    Annales Inst. Fourier t. XIII, 2 (1963) 307-356.
  4. Extreme harmonic functions and boundary value problems II.
    Math. Zeitschrift 94 (1966) 254-270.
  5. Limites fines et fonctions doublement harmoniques.
    C.R. Acad. Sc. Paris 262 (1965) 388-390.
  6. Fatou-Naim-Doob limit theorems in the axiomatic system of Brelot.
    Annales Inst. Fourier t. XVI, 2 (1966) 455-467.
  7. Multiply harmonic functions.
    Nagoya Math. Journal Vol. 28 (1966) 27-48.
  8. Minimal positive harmonic functions.
    Seminaire Brelot-Choquet-Deny (non-refereed). Institue Henri Poincaré 1967, 14 pages.
  9. On a problem of Doob concerning multiply superharmonic functions.
    Nagoya Math. Journal 39 (1970) 127-132.
  10. Measurability of functions in product spaces.
    Proc. Amer. Math. Soc. 31 (1972) 485-488.
  11. Iterated fine limits and iterated non-tangential limits.
    Trans. Amer. Soc. 31 (1972) 71-92.
  12. Integral representation for a class of multiply superharmonic functions.
    Annales Inst. Fourier. t. 23 (1973)Fasc. 4, 105-143.
  13. Lusin and Suslin topologies on a set.
    Proc. Amer. Math. Soc. 43, (1974) 326-330.
  14. Measurability of lattice operations in a cone.
    Proc. Amer. Math. Soc. 41, (1973) 237-240.
  15. Iterated non-tangential limits.
    Trans. Amer. Math. Soc. Vol. 212 (1975) 401-402.
  16. Multiply superharmonic functions.
    Annales Inst. Fourier XXV, (1975), 235-244.
  17. Negligible sets and good functions on polydisc.
    Annales Inst. Fourier 29 (1979) 211-222.
  18. Iterated Fine Limits.
    Proc. Amer. Math. Soc. 108 (1990), 157-162.
  19. Polydiscs and Non-Tangential Limits.
    Proc. Amer. Math. Soc. 115 (4) (1992), 977-984.
  20. Compact Multipolar Sets.
    With R. Jesuraj
    Can. Math. Bulletin 35 (1) (1992), 81-83.
  21. Local and global n-polar sets.
    Presented to ICPT, Utrecht 1991.
  22. Global Approximation of Harmonic Functions.
    With S. J. Gardiner and Myron Goldstein
    Proc. Amer. Math. Soc., (1994), 122, 213-221.
  23. Tangential approximation in harmonic spaces.
    With S.J. Gardiner and M. Goldstein,
    Indiana Univ. Mathematics J. 43, (1994), 1003-1012.
  24. Fatou-Doob Limits and the Best Filters.
    Classical and Modern Potential Theory and Applications, 233-237. 1994.
  25. Classical and Modern Potential Theory and Applications.
    Editor, Proceedings of the NATO Conference held at Chateau Bonas, F rance, July 1993, Kluwer Publications 1994
  26. Thin Sets and Boundary Behaviour of Solutions of the Equation Helmholtz Potentials.
    With D. Singman.
    Potential Analysis, v.9, 4, (1998) 383-398.
  27. A generalised Littlewood theorem for Weinstein Potentials.
    With D. Singman.
    Illinois J. of Mathematics, vol.41, 4, (1997), 630-647.
  28. Minimal fine limits for a class of Potential.
    With D. Singman.
    Potential Analysis v. 13, 2, (2000) 103-114.
  29. Tangential Superharmonic Approximation.
    With A. Nersessian.
    Bull London Math Soc. 32 (2000) 47-53
  30. A Projection theorem and tangential behaviour of Potentials
    With D. Singman.
    (Accepted in Proceedings of the AMS, April 1999 (10 pp.).
  31. Tangential Limits of Potentials on Homogeneous Trees
    With D. Singman.
    (submitted to Potential Analysis, revised version, June 2000)
  32. Polyharmonic functions on Trees
    With J. Cohen, F. Colonna, and D. Singman
    (submitted to American J of Mathematics, November 2000)