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Mathematics of the USSR-Sbornik, 1969, Volume 9, Issue 3, Pages 379–388
DOI: https://doi.org/10.1070/SM1969v009n03ABEH001289 (Mi sm3626) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On differential operators of infinite order in spaces of type $S$

Ya. I. Zhitomirskii
English version PDF (407 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1969v009n03ABEH001289
Abstract: I. M. Gel'fand and G. E. Shilov have investigated the action of differential operators of infinite order in spaces of type $S$. These differential operators were entire functions of a differential operator with constant coefficients, and on the basis of this they constructed an operational method in the problem of uniqueness of the solution of the Cauchy problem. The present work is devoted to the same problem for the case when the coefficients of the differential operator are variable and belong to the set of multiplicators of spaces of type $S$.
Bibliography: 9 titles.
Received: 14.02.1969
Bibliographic databases:
UDC: 517.43
MSC: 47F05, 35A05, 35Exx
Language: English
Original paper language: Russian
Citation: Ya. I. Zhitomirskii, “On differential operators of infinite order in spaces of type $S$”, Math. USSR-Sb., 9:3 (1969), 379–388
Citation in format AMSBIB
\Bibitem{Zhi69}
\by Ya.~I.~Zhitomirskii
\paper On~differential operators of infinite order in spaces of type~$S$
\jour Math. USSR-Sb.
\yr 1969
\vol 9
\issue 3
\pages 379--388
\mathnet{http://mi.mathnet.ru//eng/sm3626}
\crossref{https://doi.org/10.1070/SM1969v009n03ABEH001289}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=256214}
\zmath{https://zbmath.org/?q=an:0199.47301|0187.08301}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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