Convolution Equations on a Large Finite Interval with Symbols Having Power-Order Zeros or Poles
- Authors: Budylin A.M.1, Sokolov S.V.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 226, No 6 (2017)
- Pages: 711-719
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240053
- DOI: https://doi.org/10.1007/s10958-017-3560-8
- ID: 240053
Cite item
Abstract
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.
About the authors
A. M. Budylin
St. Petersburg State University
Author for correspondence.
Email: budylin@spbu.ru
Russian Federation, St. Petersburg
S. V. Sokolov
St. Petersburg State University
Email: budylin@spbu.ru
Russian Federation, St. Petersburg