Publications

  1. The Harmonic Representation of U(p,q) and its Connection with the Generalized Unit Disk. Pac. J. of Math. Vol.129, No.1, (Sept. 1987) 33--55.
  2. (with R. Stanke) Gradient Type Differential Operators and Unitarizable Highest Weight Modules of SU(p,q). J. Funct. Anal. Vol.81, No. 1, (Nov. 1988) 100--125.
  3. (with R. Stanke and T. Enright) Covariant Differential Operators, Math. Ann, Vol.288 (1990) 731--739.
  4. (with R. Stanke) Szego Maps and Highest Weight Representations. Pac. J. of Math. Vol. 158, No.1, (1993) 67--91.
  5. (with R. Fabec) Geometric Realizations of Highest Weight Representations. (in Representation Theory and Harmonic Analysis: A Conference in Honor of Ray Kunze (T. Ton-That, ed.)) Contemp. Math. {Vol 191} (1995), 13--31.
  6. (with R. Stanke) Ladder Representation Norms for Hermitian Symmetric Groups. Journal of Lie Theory, Vol. 10 (2000), 157-170.
  7. (with G. \'Olafsson, and Genkai Zhang) Laguerre Polynomials, Restriction Principle, and Holomorphic Representations of SL(2,R). Acta Applicandae Mathematicae Vol 71 (2002), 261--277.
  8. (with G. \'Olafsson, and Genkai Zhang) Laplace and Segal-Bargmann Transforms on Hermitian Symmetric Spaces and Orthogonal Polynomials. Journal of Functional Analysis, Vol 204 (2003), 157-195
  9. (with G. \'Olafsson) Differential Recursion Relations for Laguerre Functions on Hermitian Matrices. Journal of Integral Transforms and Special Functions, Vol 14 (2003), 469-484.
  10. (with W. Adkins) The Cayley-Hamilton and Frobenius Theorems via the Laplace Transform. Linear Algebra and its Applications, Vol 371 (2003), 147-152.
  11. (with G. \'Olafsson) The Generalized Segal-Bargmann Transform and Special Functions. Acta Applicandae Mathematicae, Vol 81 (2004) , 29-50.
  12. Generating Functions Associated to Highest Weight Representations, Journal of Integral Transforms and Special Functions, Vol. 16, No. 7, October 2005, 521-532.
  13. (with Michael Aristidou and Gestur Olafsson) Laguerre Functions on Symmetric Cones and recursion relations in the Real Case, Journal of Computational and Applied Mathematics.
  14. (with Michael Aristidou and Gestur Olafsson) Differential recursion relations for Laguerre functions on symmetric cones, Bull. Sci. math. 130 (2006) 246-263.
  15. (with William Adkins) Synthetic Partial Fraction Decompositions, submitted to Mathematics Magazine.
  16. (with William Adkins) textbook: An Introduction to Ordinary Differential Equations, accepted for publication by Springer-Verlag.

Department of Mathematics

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