Article citationsMore>>

Kats, B.A. and Pogodina, A.Y. (2007) The Jump Problem and the Faber-Schauder Series. Russian Mathematics, 51, 13-18.
https://doi.org/10.3103/S1066369X07010033

has been cited by the following article:

• TITLE: Riemann Boundary Value Problems on the Curve of Parabola

  AUTHORS: Yanyan Lei, Hua Liu

  KEYWORDS: Riemann-Hilbert Problem, Plemelj Formula, The Cauchy-Type Integral

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.5, May 29, 2023

  ABSTRACT: In this paper, we study Riemann boundary value problems on the Curve of Parabola. We characterized the functions which are intergrable on the Curve of Parabola. We also study the asymptotic behaviors of Cauchy-type integral and Cauchy principal value integral on the Curve of Parabola at infinity. At the end, we discuss the Riemann boundary value problems for sectionally holomorphic functions with the Curve of Parabola as their jump curve and obtain the explicit form.