Functional Cantor equation |
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| Authors: | A B Shabat |
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| Institution: | 1.Landau Institute for Theoretical Physics,RAS,Moscow,Russia;2.Institute of Mathematics with Computer Center, Ufa Science Center,RAS,Ufa,Russia |
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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. |
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