Geodesic
Carleman’s formula for a matrix polydisk
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 3, pp. 371-374.

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In this work an integral formula for a matrix polydisk is obtained. For a function from the Hardy class it allows to recover its value at any interior point from its values on a part of the Shilov boundary.
Mots-clés : Carleman's formula, matrix polydisc. 
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Bahodir A. Shoimkhulov; Jorabek T. Bozorov. Carleman’s formula for a matrix polydisk. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 3, pp. 371-374. http://geodesic.mathdoc.fr/item/JSFU_2015_8_3_a13/

[1] L. A. Aizenberg, Carleman's Formulas in Complex Analysis. Theory and Applications, Kluwer Acad. Publ., Basel–Heidelberg, 1993 | MR

[2] A. M. Kytmanov, T. N. Nikitina, “Analogs of Carleman's formula for classical domains”, Math. Notes, 45:3 (1989), 243–248 | MR | Zbl

[3] G. Khudayberganov, A. M. Kytmanov, B. A. Shoimkhulov, Complex Analysis in Matrix Domains, SFU, Krasnoyarsk, 2011 (in Russian)

[4] Hua Lo-Kéng, Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, American Mathematical Soc., RI, 1963 | MR