A. S. Katsunova, A. M. Kytmanov, “A rearrangement formula for a singular Cauchy–Szegö integral in a ball from <nobr>$\mathbb C^n$</nobr>”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, Number 4,Pages <nobr>24

This article is cited in 1 paper

A rearrangement formula for a singular Cauchy–Szegö integral in a ball from $\mathbb C^n$

A. S. Katsunova^a, A. M. Kytmanov^b

^a Chair of Applied Mathematics and Computer Security, Siberian Federal University, Institute of Space and Information Technologies, Krasnoyarsk, Russia
^b Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We obtain an analog of the Poincaré–Bertrand formula for a singular Cauchy–Szegö integral in a multidimensional ball. We understand the principal value of the integral in the Cauchy sense. The obtained formula differs from that of Poincaré–Bertrand for the Cauchy integral in a complex plane.

Keywords: Cauchy–Szegö integral, principal value of integral in Cauchy sense, rearrangement formula for iterated integrals.

UDC: 517.552

Received: 06.04.2011