Abstract
Infinite dimensional subspaces, which consists of forms involving tensor products of functions of fewer variables, play an important role in the theory of approximation of functions of several real variables. Similar technique can be applied to problems of approximation of analytic functions of several complex variables. In the present paper we study the generalized polynomial approximation of entire functions of two complex variables in Banach spaces. Moreover, limit equations relating growth parameters order and type with above approximation errors in Banach spaces have been investigated.
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