Research Interests
I am most interested in problems in operator theory and
complex analysis, particularly Pick interpolation and composition operators. Cal Poly students who are interested in a senior project
involving linear algebra and/or complex analysis should contact me
by email or during office hours.
Publications
- "Approximating composition operator norms on the Dirichlet space", with Marian Robbins,
J. Math. Anal. Appl. , Volume 339 (2) (2008), 1374-1385.
- "On multivariable Fejér inequalities", with Mihai Putinar,
Acta Sci Math. (Szeged) , 72 (2006), 129-134.
- "Composition operators that are m-sometries", with Marian Robbins,
Houston Journal of Mathematics, 31, no. 1, (2005), 255-266.
- "Commutation relations for Toeplitz and Hankel matrices", with Caixing Gu,
SIAM J. Matrix Anal. Appl. , 24, no. 3, (2003), 728-746.
- "Caratheodory-Fejér interpolation on polydisks", with Jörg Eschmeier and Mihai Putinar,
Math Research Letters , 7, (2000), 25-34.
- "Some solutions of the matrix equation for Nevanlinna-Pick interpolation",
Linear Algebra and its Applications , 254, (1997), 467-484.
- "Interpolation of Nevanlinna-Pick type on the boundary of the bidisc", Complex Variables: Theory and Application , 24, no. 1-2, (1994), 107-120.