Gulmirza Kh. Khudayberganov, Uktam S. Rakhmonov, “The Bergman and Cauchy–Szego kernels for matrix ball of the second type”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 3,Pages <nobr>305

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The Bergman and Cauchy–Szego kernels for matrix ball of the second type

Gulmirza Kh. Khudayberganov, Uktam S. Rakhmonov

National university of Uzbekistan, Vuzgorodok, Tashkent, 100174, Uzbekistan

Abstract: With the use of holomorphic automorphism of the matrix ball of the second type the validity of the integral Bergman and Cauchy–Sege formulae is proven in this article.

Keywords: matrix ball, Bergman kernel, Cauchy–Szego kernel, automorphism of the matrix ball.

UDC: 517.55

Received: 10.05.2014
Received in revised form: 06.06.2014
Accepted: 19.06.2014

Language: English