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A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRALEQUATION ARISING IN p-ADIC STRING THEORY

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

We study a singular nonlinear integral equation on the real line that appearinp-adic string theory. A uniqueness theorem for this equation in certain classof odd functions is proved. At the end of the paper we give examples, satisfyingthe conditions of the formulated theorem.

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