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2019 Identities for the zeros of entire functions of finite rank and spectral theory
N. Anghel
Rocky Mountain J. Math. 49(4): 1049-1062 (2019). DOI: 10.1216/RMJ-2019-49-4-1049

Abstract

A theorem of Gil', relating the zeros of entire functions of finite order to traces of powers of matrices, is generalized to entire functions of finite rank and then analyzed from the point of view of spectral theory. Plenty of relevant examples are given, including a generalization of Viete's relations for the elementary symmetric functions of the roots of a polynomial.

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N. Anghel. "Identities for the zeros of entire functions of finite rank and spectral theory." Rocky Mountain J. Math. 49 (4) 1049 - 1062, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1049

Information

Published: 2019
First available in Project Euclid: 29 August 2019

zbMATH: 07104705
MathSciNet: MR3998909
Digital Object Identifier: 10.1216/RMJ-2019-49-4-1049

Subjects:
Primary: 30D20, 47A10

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 4 • 2019
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