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Behavior of Singular Integral Along the Real Axis with Density Vanishing Near Infinity Point

Authors
  • Salimov, R. B.1
  • 1 Kazan State University of Architecture and Engineering, 1 Zelenaya str., Kazan, 420043, Russia , Kazan (Russia)
Type
Published Article
Journal
Russian Mathematics
Publisher
Pleiades Publishing
Publication Date
Nov 01, 2019
Volume
63
Issue
11
Pages
56–66
Identifiers
DOI: 10.3103/S1066369X19110082
Source
Springer Nature
Keywords
License
Yellow

Abstract

We study behavior of singular integral at neighborhood of the point at infinity. Its density satisfies the Hölder condition on the any finite part of the real axis, and at the infinity point it vanishes as power of logarithm with exponent lesser than −1.

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