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Estimation of the spectral radius of an operator and the solvability of inverse problems for evolution equations

โœ Scribed by A. I. Prilepko; A. B. Kostin

Publisher
SP MAIK Nauka/Interperiodica
Year
1993
Tongue
English
Weight
341 KB
Volume
53
Category
Article
ISSN
0001-4346

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A rough estimate for the spectral radius
A rough estimate for the spectral radius of the sampling operator
โœ Mark C. Ho ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

Let ฯ• โˆผ โˆž -โˆž a k e ikฮธ be a bounded measurable function on the unit circle T. Given m, n โˆˆ N, the sampling operator S ฯ• (m, n) is a bounded linear operator on L 2 (T) whose matrix with respect to the standard basis {e k (z) = z k : k โˆˆ Z} is given by (a mi-nj ) i,j โˆˆZ . In [Proc. AMS 129 (11) (2001)