### The basic properties of Bloch functions.

Cima, Joseph A. (1979)

International Journal of Mathematics and Mathematical Sciences

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International Journal of Mathematics and Mathematical Sciences

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The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.