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On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\) - MaRDI portal

On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\) (Q938286)

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On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\)
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    On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\) (English)
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    19 August 2008
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    The author proves some general result on local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^n\) (Theorem 1.2). As a corollary of it he obtains inequalities of type of Bernstein, Markov, Remez (Section 2.1) and a generalization of Bernstein type inequality of Coman and Poletsky.
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    holomorphic function
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    complex manifold
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    inequalities of type of Bernstein
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    Markov
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    Remez
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