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This article is cited in 25 scientific papers (total in 25 papers)
Harmonic analysis of cosine and exponential operator-valued functions
A. G. Baskakov
Abstract:
This article concerns: 1) theorems on the spectra of operators formed from cosine operator-valued functions and representations; 2) inequalities (of Bernstein type) connecting the norms of operators with their spectral radii; 3) applications to second-order differential equations; 4) generalizations of the known spectral criterion of Loomis for almost periodicity, and an application to the investigation of almost periodicity of cosine operator-valued functions, representations, and solutions of functional equations; and 5) linear methods for summation of Fourier series in eigenfunctions of a linear operator generating a bounded (one-parameter) cosine operator-valued function.
Bibliography: 41 titles.
Received: 03.03.1983
Citation:
A. G. Baskakov, “Harmonic analysis of cosine and exponential operator-valued functions”, Mat. Sb. (N.S.), 124(166):1(5) (1984), 68–95; Math. USSR-Sb., 52:1 (1985), 63–90
Linking options:
https://www.mathnet.ru/eng/sm2041https://doi.org/10.1070/SM1985v052n01ABEH002878 https://www.mathnet.ru/eng/sm/v166/i1/p68
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Abstract page: | 691 | Russian version PDF: | 199 | English version PDF: | 7 | References: | 70 |
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