Geodesic
Relationship between the Bergman and Cauchy-Szeg\"{o} in the domains $\tau ^{+}(n-1)$ и $\Re _{IV}^{n}$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 5, pp. 559-567.

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In this paper, a connection has been established between the Bergman and Cauchy-Szegö kernels using the biholomorphic equivalence of the domains $\tau ^{+} \left(n-1\right)$ and the Lie ball $\Re _{IV}^{n} $. Moreover, integral representations of holomorphic functions in these domains are obtained.
Keywords: classical domains, Lie ball, future tube, Shilov's boundary, Bergman's kernel, Cauchy-Szegö's kernel
Mots-clés : Jacobian, Poisson's kernel. 
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     title = {Relationship between the {Bergman} and {Cauchy-Szeg\"{o}} in the domains  $\tau ^{+}(n-1)$ {\cyri} $\Re _{IV}^{n}$},
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Gulmirza Kh. Khudayberganov; Jonibek Sh. Abdullayev. Relationship between the Bergman and Cauchy-Szeg\"{o} in the domains  $\tau ^{+}(n-1)$ и $\Re _{IV}^{n}$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 5, pp. 559-567. http://geodesic.mathdoc.fr/item/JSFU_2020_13_5_a3/

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