Orthogonal Polynomials on S-Curves Associated with Genus one Surfaces
Abstract
where the measure µ is, in general, a complex-valued Borel measure supported on subsets of the complex plane. In our considerations, we will focus on measures of the form dµ(z) = ρ(z)dz where the function ρ may depend on other auxiliary parameters. Much of the asymptotic analysis is done via the Riemann-Hilbert problem and the Deift-Zhou nonlinear steepest descent method, and relies heavily on notions from logarithmic potential theory.
Degree
Ph.D.
Advisors
Yattselev, Purdue University.
Subject Area
Mathematics
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