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On the completeness of sparse subsequences of systems of functions of the form f(n)(λnz)
A. Yu. Popov
Abstract:
We obtain some new results on the completeness of systems of functions f(n)(λnz) in the space of entire functions with the topology of uniform convergence on an arbitrary
compact set in C. In the presence of lacunae in the Taylor expansion of the function f(z), we prove the existence of bases consisting of subsystems of this form.
Received: 25.11.2003
Citation:
A. Yu. Popov, “On the completeness of sparse subsequences of systems of functions of the form f(n)(λnz)”, Izv. Math., 68:5 (2004), 1025–1049
Linking options:
https://www.mathnet.ru/eng/im507https://doi.org/10.1070/IM2004v068n05ABEH000507 https://www.mathnet.ru/eng/im/v68/i5/p189
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Abstract page: | 560 | Russian version PDF: | 221 | English version PDF: | 29 | References: | 91 | First page: | 2 |
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