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Convolution type operators on cones and their finite sections

Author:
Mascarenhas, H  Silbermann, B  


Journal:
MATHEMATISCHE NACHRICHTEN


Issue Date:
2005


Abstract(summary):

This paper is concerned with finite sections of convolution type operators defined on cones, whose symbol is the Fourier transform of an integrable function on R-2. The algebra of these finite sections satisfies a set of axioms (standard model) that ensures some asymptotic properties like the convergence of the condition numbers, singular values, epsilon-pseudospectrum and also gives a relation between the singular values of an approximation sequence and the kernel dimensions of a set of associated operators. This approach furnishes a method to determine whether a Fredhohn convolution operator on a cone is invertible. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.


Page:
290---311


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