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.