IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Zeros of Random Functions Generated with de Branges Kernels
Autor/es:
JORGE ANTEZANA; JAN-FREDRIK OLSEN; JORGE MARZO
Revista:
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Editorial:
OXFORD UNIV PRESS
Referencias:
Lugar: Oxford; Año: 2017 vol. 2017 p. 2284 - 2299
ISSN:
1073-7928
Resumen:
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.
