One convolution algebra of analytic functionals of exponential type
1 Functional Analysis Department, Institute of Applied Problems of Mechanics and Mathematics named after Ya.S.Pidstryhach, NAS of Ukraine, Lviv, 79060, Ukraine
2 Department of analysis, geometry and topology, Institute of applied problems of mechanics and mathematics named after Ya.S. Hairdresser of the National Academy of Sciences, Lviv , 79060, Ukraine
Keywords:
convolution algebra
Abstract
Dual spaces to one space of entire functions of exponential type, bounded on $\mathbb{R}^n$ is investigated. The representation of such space in the form of the projective limit of sequence of Banach spaces with compact inclusions and in terms of the commutant of translations group is obtained.
References
[1] Nikol'skii S. M. Approximation of functions of several variables and embedding theorems. – M.: Nauka, 1977. – 456 p.
[2] Sebastian-e-Silva J. On some classes of locally convex spaces important in applications // Mathematics. – 1957. – 1, issue 1. – P.60–67.
Cite
- ACS Style
- Lopushanskyi , O.V.; Lozynska, V.Y. One convolution algebra of analytic functionals of exponential type. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Lopushanskyi OV, Lozynska VY. One convolution algebra of analytic functionals of exponential type. Bukovinian Mathematical Journal. 2018; 1(76).
- Chicago/Turabian Style
- Oleg Vasilyovych Lopushanskyi , Vira Yaroslavivna Lozynska. 2018. "One convolution algebra of analytic functionals of exponential type". Bukovinian Mathematical Journal. 1 no. 76.
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