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Functional Cantor equation


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Resumo

We consider the class of entire functions of exponential type in relation to the scattering theory for the Schrödinger equation with a finite potential that is a finite Borel measure. These functions have a special self-similarity and satisfy q-difference functional equations. We study their asymptotic behavior and the distribution of zeros.

Sobre autores

A. Shabat

Landau Institute for Theoretical Physics; Institute of Mathematics with Computer Center, Ufa Science Center

Autor responsável pela correspondência
Email: shabatab@mail.ru
Rússia, Moscow; Ufa

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