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The completeness of a functional sequence
A. A. Mirolyubov Gor'kovsk State University
Abstract:
Let {πn(u)} be a sequence of polynomials with a biorthogonal system, and let {Pn(z)}
be functions defined in the singly connected domain D. We consider the problem
of the completeness of the system
A(z,λn)=∞∑s=0Ps(z)πs(λn),n=1,2,…,
in the class of functions F(z) having the representation
F(z)=∞∑k=0dkPk(z).
Received: 13.10.1970
Citation:
A. A. Mirolyubov, “The completeness of a functional sequence”, Mat. Zametki, 12:6 (1972), 671–680; Math. Notes, 12:6 (1972), 843–848
Linking options:
https://www.mathnet.ru/eng/mzm9932 https://www.mathnet.ru/eng/mzm/v12/i6/p671
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Abstract page: | 166 | Full-text PDF : | 72 | First page: | 1 |
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