Abstract
The theory of integral representations of analytic functions of many complex variables is an important branch of the multidimensional complex analysis. An essential contribution to this theory was done by A. A. Temlyakov, who obtained integral representations for functions of two complex variables [1, 2]. The functions were assumed to be analytic in the class of parametrically defined bounded convex complete bicircular domains. L. A. Aizenberg [3] considered an arbitrary function summable in the sense of Lebesgue at the boundary of the defining domain as the density in the Temlyakov integrals. On the base of Temlyakov integral representations he introduced the notion of Temlyakov type integrals. This paper is dedicated to the study of properties of a generalized integral of the Temlyakov type
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