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This article is cited in 21 scientific papers (total in 21 papers)
Equations of convolution type in spaces of analytic functionals
V. A. Tkachenko
Abstract:
In this work necessary and sufficient conditions are obtained for solvability of the equation $\Phi^*f=g$, where $\Phi^*$ is the adjoint of the operator of multiplication by an entire function of normal type with a finite order of growth. As an application some conditions are found for solvability of a nonhomogeneous equation of generalized convolution type.
Bibliography: 16 titles.
Received: 29.01.1975
Citation:
V. A. Tkachenko, “Equations of convolution type in spaces of analytic functionals”, Math. USSR-Izv., 11:2 (1977), 361–374
Linking options:
https://www.mathnet.ru/eng/im1810https://doi.org/10.1070/IM1977v011n02ABEH001722 https://www.mathnet.ru/eng/im/v41/i2/p378
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Abstract page: | 439 | Russian version PDF: | 144 | English version PDF: | 22 | References: | 59 | First page: | 1 |
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