Results 121 to 130 of about 347 (160)

Boundary behavior of holomorphic functions of several complex variables

Mathematical Notes of the Academy of Sciences of the USSR, 1986
The author generalizes for strictly pseudoconvex domains \(D\subset {\mathbb{C}}^ n\), \textit{W. Seidel}'s [Trans. Am. Math. Soc. 34, 1-21 (1932)] criterium of equality of the limit of two sequences of values \(f(a_ m)\), \(f(b_ m)\) \((m=1,2,...)\) of a bounded holomorphic function f defined on the unit disc \(U\subset {\mathbb{C}}\), when the ...
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k-holomorphic functions in spaces of several complex variables

Complex Variables and Elliptic Equations, 2019
In this paper, we define k-holomorphic functions in Cn and study their properties. We obtain some conclusions parallel to the properties of holomorphic functions, such as Cauchy integral theorem, C...
Yuying Qiao   +3 more
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Some boundary properties of holomorphic functions of several complex variables

Mathematical Notes of the Academy of Sciences of the USSR, 1978
A local uniqueness theorem and analogs of the theorem on removable singularities under the hypothesis of boundedness are proved for functions satisfying the tangential Cauchy-Riemann conditions on hypersurfaces in Cn. The results can be interpreted as giving certain boundary properties of holomorphic functions of several complex variables.
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On holomorphic operator-functions of several complex variables

Functional Analysis and Its Applications, 1970
Kreĭn, S. G., Trofimov, V. P.
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