Work

Zeros of Random Functions Generated with de Branges Kernels

Year: 2016

Type: article

Abstract: We study the point process given by the set of real zeros of random series generated with orthonormal bases of reproducing kernels of de Branges spaces. We find an explicit formula for the intensity function in terms of the phase of the Hermite–Biehler function generating the de Branges space. We prove that the intensity of the point process completely characterizes the underlying de Branges space.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnw078

Authors: Jorge Antezana, Jordi Marzo, Jan-Fredrik Olsen

Institutions: Universidad Nacional de La Plata, Barcelona Graduate School of Mathematics, Universitat de Barcelona, Lund University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Generalitat de Catalunya

Award: G896341941