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  • Print publication year: 2020
  • Online publication date: December 2019

4 - Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO)

Summary

Riemann–Hilbert problem, Hilbert transform on T and ℝ.

Lebesgue points, Sokhotsky–Plemelj formulas.

Wiener–Hopf operators.

Singular integral equations, finite difference equations, Laguerre functions and polynomials, Wiener–Hopf operators on an interval.

Systems of equations and matricial Wiener–Hopf operators, Hankel operators on L2(ℝ+).