Research

My research interests are in Banach algebras and several complex variables, particularly in approximation theory.   Some recent papers and prints are available below. 

 


[1] "Polynomial Approximation on Real-Analytic Varieties in Cn, " (with Alexander Izzo and John Wermer),  Proc. of the A.M.S. 132 , no. 5 (2004) 1495-1500.

varieties.pdf

[2] "Rational Approximation on the Unit Sphere in C2,"  (with Alexander Izzo and John Wermer), Mich. Math. J. 52 , no. 1 (2004) 105-117.

rational.pdf

[3] "A Cauchy-Green Formula on the Unit Sphere in C2,"(with John Wermer), in the Proceedings of the Fourth Conference on Function Spaces, K. Jarosz, ed., A.M.S. Contemporary Mathematics Series 328, 2003, pp. 21-30. 

cg.pdf

[4] "Approximation Problems on the Unit Sphere in C2," (with John Wermer), in Operator Theory: Advances and Applications, (memorial volume dedicated to
S. Ya Khavinson) v.  158 (2005) pp. 101-108. 

approximation.pdf

[5] "Approximation by CR Functions on the Unit Sphere in C2," (with John Wermer),  in Recent Advances in Operator-Related Function Theory, A.M.S. Contemporary Mathematics Series,  393 (2006). pp. 35-49.

cimaconf.pdf

[6] "Boundary Behavior of a Class of BMOA Functions," (with Joseph Cima),  preprint 2005. 

cauchyint.pdf

[7] "Peak Point Theorems for Uniform Algebras on Smooth Manifolds," (with Alex Izzo), preprint 2007.  To appear in Mathematische Zeitschrift. 

pkpt.pdf












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