Geodesic
Laplace and Hua Luogeng operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 74-79.

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We study definitions of holomorphic and pluriharmonic functions for classical domains of the first Cartan type, and the operator of Laplace and Hua Luogeng in this domain. We find a relationship between these operators.
Keywords: classical domain, holomorphic function, pluriharmonic function, Hua Luogeng operator, Laplace operator
Mots-clés : automorphism, chain rule. 
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     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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G. Khudayberganov; A. M. Khalknazarov; J. Sh. Abdullayev. Laplace and Hua Luogeng operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 74-79. http://geodesic.mathdoc.fr/item/IVM_2020_3_a5/

[1] Lo-Ken Khua, Garmonicheskii analiz funktsii mnogikh kompleksnykh peremennykh v klassicheskikh oblastyakh, Iz-vo In. lit., M., 1959

[2] Rudin U., Teoriya funktsii v edinichnom share iz ${\mathbb C}^n$, Mir, M., 1984 | MR

[3] Lankaster P., Teoriya matrits, Nauka, M., 1982 | MR