Affiliation:
1. National Research University "Higher School of Economics", Moscow
Abstract
Formulas for sequences of complex numbers satisfying functional relations
of bilinear type are investigated. The results obtained are used
in describing all 1-periodic entire functions
$f,g\colon \mathbb{C}\to\mathbb{C}$ satisfying
$f(x+y)g(x-y)=\phi_1(x)\psi_1(y)+…+\phi_4(x)\psi_4(y)$
for some $\phi_j,\psi_j\colon \mathbb{C}\to\mathbb{C}$.
Funder
Russian Science Foundation
Publisher
Steklov Mathematical Institute
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