Geodesic
A rearrangement formula for a~singular Cauchy--Szeg\"o integral in a~ball from~$\mathbb C^n$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2012), pp. 24-32

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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. 
@article{IVM_2012_4_a2,
     author = {A. S. Katsunova and A. M. Kytmanov},
     title = {A rearrangement formula for a~singular {Cauchy--Szeg\"o} integral in a~ball from~$\mathbb C^n$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {24--32},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_4_a2/}
}
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A. S. Katsunova; A. M. Kytmanov. A rearrangement formula for a~singular Cauchy--Szeg\"o integral in a~ball from~$\mathbb C^n$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2012), pp. 24-32. http://geodesic.mathdoc.fr/item/IVM_2012_4_a2/