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This article is cited in 1 scientific paper (total in 1 paper)
On the closure of nonclosed systems of functions of Mittag-Leffler type
S. A. Akopyan, I. O. Khachatryan
Abstract:
The closure of a system of functions of Mittag-Leffler type $\{E_\rho(-\lambda_kx;\mu)\}_1^\infty$ ($\operatorname{Re}\lambda_k^\alpha>0$, $1/\rho+1/\alpha=2$) is described in the space $L_{2,\omega}(0,+\infty)$ in the case when the series
$$
\sum_{k=1}^\infty\frac{\operatorname{Re}\lambda_k^\alpha}{1+|\lambda_k|^{2\alpha}}
$$
is convergent. This result generalizes the well-known theorems of Laurent Schwartz, A. F. Leont'ev and M. M. Dzhrbashyan.
Bibliography: 16 titles.
Received: 24.01.1975
Citation:
S. A. Akopyan, I. O. Khachatryan, “On the closure of nonclosed systems of functions of Mittag-Leffler type”, Izv. Akad. Nauk SSSR Ser. Mat., 40:1 (1976), 96–114; Math. USSR-Izv., 10:1 (1976), 93–110
Linking options:
https://www.mathnet.ru/eng/im2094https://doi.org/10.1070/IM1976v010n01ABEH001680 https://www.mathnet.ru/eng/im/v40/i1/p96
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Abstract page: | 249 | Russian version PDF: | 96 | English version PDF: | 3 | References: | 46 | First page: | 1 |
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