Boundary version of the Morera theorem for a matrix ball of the second type
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 466-471.

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In this article we prove a boundary Morera theorem for a matrix ball of the second type.
Keywords: Morera theorem.
Mots-clés : matrix ball, automorphism, Poisson kernel
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Gulmirza Kh. Khudayberganov; Zokirbek K. Matyakubov. Boundary version of the Morera theorem for a matrix ball of the second type. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 466-471. http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a5/

[1] A. Nagel, W. Rudin, “Moebius-invariant functions spaces on balls and spheres”, Duke Math. J., 43:4 (1976), 841–865 | DOI | MR | Zbl

[2] G. Khudayberganov, A. M. Kytmanov, B. Shaimkulov, Complex analysis in matrix domains, Siberian Federal University, Krasnoyarsk, 2011 (in Russian)

[3] G. Khudayberganov, B. B. Hidirov, U. S. Rakhmonov, “Automorphisms of matrix balls”, Doklady NUUz, 2010, no. 3, 205–210 (in Russ.)

[4] S. Kosbergenov, “On multidimensional boundary Morera's theorem for matrix ball”, Izvestiya VUZov. Matematika, 2001, no. 4, 28–32 (in Russ.) | MR | Zbl

[5] P. Lankaster, The theory of matrices, Academic Press, New York–London, 1969 | MR

[6] F. R. Gantmakher, The theory of matrices, Chelsea Publition Company, 1977

[7] S. Kosbergenov, A. M. Kytmanov, S. G. Myslivets, “On a boundary Morera theorem for the classical domains”, Sib. Math. J., 40:3 (1999), 506–514 | DOI | MR | Zbl