Email this article Functional Cantor equation
- Authors: Shabat A.B.1,2
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Affiliations:
- Landau Institute for Theoretical Physics
- Institute of Mathematics with Computer Center, Ufa Science Center
- Issue: Vol 189, No 3 (2016)
- Pages: 1712-1717
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170869
- DOI: https://doi.org/10.1134/S0040577916120035
- ID: 170869
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Abstract
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.
About the authors
A. B. Shabat
Landau Institute for Theoretical Physics; Institute of Mathematics with Computer Center, Ufa Science Center
Author for correspondence.
Email: shabatab@mail.ru
Russian Federation, Moscow; Ufa
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