Abstract:
The general form of series in exponentials that converge absolutely to zero in complete, Hausdorff, locally convex function spaces is described. The results are applied to the description of kernels of (scalar and matrix) convolution operators and to solving the factorization problem for convolution operators.
Citation:
Yu. F. Korobeinik, “Description of the general form of nontrivial expansions of zero in exponentials. Applications”, Math. USSR-Izv., 39:2 (1992), 1013–1032
\Bibitem{Kor91}
\by Yu.~F.~Korobeinik
\paper Description of the general form of nontrivial expansions of zero in exponentials. Applications
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 2
\pages 1013--1032
\mathnet{http://mi.mathnet.ru/eng/im980}
\crossref{https://doi.org/10.1070/IM1992v039n02ABEH002235}
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\zmath{https://zbmath.org/?q=an:0788.30002|0738.30004}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39.1013K}
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Linking options:
https://www.mathnet.ru/eng/im980
https://doi.org/10.1070/IM1992v039n02ABEH002235
https://www.mathnet.ru/eng/im/v55/i5/p1049
This publication is cited in the following 1 articles:
Yu. F. Korobeinik, “Representative systems of exponentials and the Cauchy problem for partial differential equations with constant coefficients”, Izv. Math., 61:3 (1997), 553–592
Citation in format AMSBIB
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