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Authors: .
DOI: https://doi.org/10.24193/subbmath.2017.0002
Published Online: 2017-03-01
Published Print: 2017-03-31
VIEW PDF: A NOTE ON THE LAPLACE OPERATOR FOR HOLOMORPHIC FUNCTIONS ON COMPLEX LIE GROUPS
In this note we obtain the local expression of the Laplace operator acting on holomorphic functions defined on a complex Lie group. Also, some applications to the theory of holomorphic last multipliers are given.
Mathematics Subject Classification (2010): 22E10, 32M05, 53B20, 53B21, 53C56,34A26.
Keywords: Complex Lie group, holomorphic function, Laplace operator, last multiplier.
