Incomplete Data problems in X-Ray Computerized Tomography. II. Truncated Projections and Region-of-Interest Tomography.
Incomplete Data Problems in X-Ray Computerized Tomography. I. Singular Value Decomposition of the Limited Angle Transform.
Integral equations of the first kind of Sonine type.
Integral operators generated by Mercer-like kernels on topological spaces
We analyze some aspects of Mercer's theory when the integral operators act on L²(X,σ), where X is a first countable topological space and σ is a non-degenerate measure. We obtain results akin to the well-known Mercer's theorem and, under a positive definiteness assumption on the generating kernel of the operator, we also deduce series representations for the kernel, traceability of the operator and an integration formula to compute the trace. In this way, we upgrade considerably similar results...
Inversion formulae to certain integral equations involving H-function
Inversion integrals for the integral transforms involving the Meijer’s -function as kernel