BYU

Abstract by Jason White

Personal Infomation


Presenter's Name

Jason White

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

David Cardon

Title

Zero-Sector Reducing Operators

Abstract

We state a Jensen-disc type theorem for polynomials with real coefficients having all their zeros in a sector of the complex plane. This result is then used to prove the existence of a collection of linear operators which map real polynomials with their zeros in a closed convex sector  to polynomials with zeros in a smaller sector. We, therefore, provide the first example of a zero-sector reducing operator.