Convolution Equations on a Large Finite Interval with Symbols Having Power-Order Zeros or Poles
- 作者: Budylin A.1, Sokolov S.1
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隶属关系:
- St. Petersburg State University
- 期: 卷 226, 编号 6 (2017)
- 页面: 711-719
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240053
- DOI: https://doi.org/10.1007/s10958-017-3560-8
- ID: 240053
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详细
A class of convolution equations on a large expanding interval is considered. The equations are characterized by the fact that the symbol of the corresponding operator has zeros or poles of a noninteger power order in the dual variable, which leads to long-range influence. A power-order complete asymptotic expansion is found for the kernel of the inverse operator as the length of the interval tends to infinity.
作者简介
A. Budylin
St. Petersburg State University
编辑信件的主要联系方式.
Email: budylin@spbu.ru
俄罗斯联邦, St. Petersburg
S. Sokolov
St. Petersburg State University
Email: budylin@spbu.ru
俄罗斯联邦, St. Petersburg