A. M. Simoes, "Generalized Inverses of Convolution Type Operators on Bounded Intervals," WSEAS Transactions on Mathematics, vol. 13, pp. 962-972, 2014, DOI:
A. M. Simoes. Generalized Inverses of Convolution Type Operators on Bounded Intervals.
WSEAS Transactions on Mathematics. 2014;13:962-972.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Generalized Inverses of Convolution Type Operators on Bounded Intervals
Author:
Abstract: In this paper, we introduce a study of generalized inverses for convolution type operators defined in bounded intervals Ω. The main results of this paper are organized as follows: First, the construction of equivalence relations between the convolution type operators and newWiener-Hopf operators (operators of convolution type defined on the half-line) based on a decomposition method of higher order Wiener-Hopf operators. Second, we introduce the generalized inverses of these operators, when they exist.
Keywords:
Convolution equations, Wiener-Hopf operators, Convolution type operators, Equivalence after extension, Projection methods, Generalized inverse
Pages: 962-972 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #94 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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