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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1977 Volume 41, Issue 2, Pages 378–392 (Mi im1810)

This article is cited 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.

UDC: 517.9

MSC: Primary 45E10, 46F15; Secondary 30A64, 44A15

Received: 29.01.1975


 English version:
Mathematics of the USSR-Izvestiya, 1977, 11:2, 361–374

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