Abstract
We define holomorphic and pluri-harmonic functions in classical E. Cartan domains of the first type, and research Laplace and Hua Luogeng operators. We find a connection between these operators.
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References
Hua Luogeng Harmonic analysis of functions of several complex variables in classical domains (Inostr. lit., Moscow, 1959) [in Russian].
Rudin, W. Function theory in unit ball from ℂn (Mir, Moscow, 1984) [in Russian].
Lancaster, P. Theory of matrices (Nauka, Moscow, 1982) [in Russian].
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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 3, pp. 74–79.
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Khudayberganov, G., Khalknazarov, A.M. & Abdullayev, J.S. Laplace and Hua Luogeng Operators. Russ Math. 64, 66–71 (2020). https://doi.org/10.3103/S1066369X20030068
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DOI: https://doi.org/10.3103/S1066369X20030068