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arXiv · 2512.12700

Series decomposition of a class of special integrals

Xiaolei Yang
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Abstract

In this paper, we propose a new method for calculating integrals for a special class of integrands. As an application, we show how this method can be used to derive optimal pointwise temporal estimates for a class of nonlocal evolution equations. Compared with other methods, our approach can obtain both upper bound and lower bound simultaneously.

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Xiaolei Yang. 2025-12-14. Series decomposition of a class of special integrals. https://arxiv.org/abs/2512.12700

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