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Zeitschrift für Analysis und ihre Anwendungen

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Volume 21, Issue 4, 2002, pp. 879–890
DOI: 10.4171/ZAA/1114

Published online: 2002-12-31

On the Spectral Radius of Convolution Dilation Operators

Victor D. Didenko[1], A.A. Korenovskyy[2] and S.L. Lee[3]

(1) University of Brunei Darussalam, Brunei Darussalam
(2) Odessa National University, Ukraine
(3) National University of Singapore, Singapore

Convolution dilation operators with non-compactly supported kernels are considered and effective formulae for their spectral radii are found. The formulae depend on the behaviour of the eigenvalues of the dilation matrix.

Keywords: Convolution dilation operators, spectral radius

Didenko Victor D., Korenovskyy A.A., Lee S.L.: On the Spectral Radius of Convolution Dilation Operators. Z. Anal. Anwend. 21 (2002), 879-890. doi: 10.4171/ZAA/1114