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This article is cited in 9 scientific papers (total in 9 papers)
Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable
V. A. Tkachenko
Abstract:
This paper is devoted to the spectral theory for the adjoint of the operator of multiplication by the independent variable in weight spaces of entire functions of one complex variable, and is closely connected with the theory of constant coefficient ordinary differential equations of infinite order $\displaystyle\sum^\infty_{k=0}c_k\frac{d^kf(z)}{dz^k_k}=0$ and of convolution type equations $\langle\varphi,f(z+\zeta)\rangle<0$, with the theory of mean-periodic functions, and with the general theory of subspaces which are invariant under differentiation.
Bibliography: 62 titles.
Received: 05.06.1978 and 10.11.1979
Citation:
V. A. Tkachenko, “Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable”, Mat. Sb. (N.S.), 112(154):3(7) (1980), 421–466; Math. USSR-Sb., 40:3 (1981), 387–427
Linking options:
https://www.mathnet.ru/eng/sm2733https://doi.org/10.1070/SM1981v040n03ABEH001833 https://www.mathnet.ru/eng/sm/v154/i3/p421
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Abstract page: | 531 | Russian version PDF: | 171 | English version PDF: | 35 | References: | 65 | First page: | 1 |
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