Abstract: The classical Carathéodory interpolation problem consists of finding all analytic functions mapping the open unit disc of the complex plane into itself with prescribed first $n$ Taylor coefficients at the origin. The problem was the central topic of Rendiconti del Circolo Matematico di Palermo 32 (1911) and was completely solved by I. Schur in Crelle 147 (1917). We will discuss this problem in the quaternionic setting using the ideas from those original papers combined with several facts from quaternion linear algebra.
4/24 | Nick Russoniello & Celia Kerr | |
4/17 | Nick Russoniello & Celia Kerr | |
4/03 | Sarah Day | |
3/27 | Fan Ge | |
3/20 | Vladimir Bolotnikov | Carathéodory interpolation problem over quaternions and related questions |
3/06 | Ethan Shelburne (UBC) | The Schur-positivity of generalized nets (Slides) |
2/28 | Joshua Erlich (W&M Physics) | Stochastic processes, quantum fields, and gravity |
2/07 | Reem Mahmoud (VCU) | Equitable coloring in 1-planar graphs (Slides) |