H. Render

will speak on

Minimization problems for the Bombieri-Fischer norm

Time: 3:00PM
Date: Tue 9th May 2023
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: The Bombieri inequality provides a lower estimate of the Bombieri norm of a product of two homogeneous polynomials $P_k $ and $ q_m $ of degree $k$ and $m$ respectively.
In this talk we shall provide necessary and sufficient criteria for a given homogeneous polynomial $ P_k $ such that an improved Bombieri-type inequality holds for all homogeneous polynomials $q_m $ of degree $m $ leading to a description of the asymptotic behavior when the degree $m $ is large. These results are useful in the context of the Fischer decomposition of an entire function of finite order.

This is joint work with J.M. Aldaz (Universidad Autonoma de Madrid).

https://ucd-ie.zoom.us/j/64669051725

(This talk is part of the Analysis series.)

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