A new proof of the support theorem and the range characterization for the Radon transform.
A note on weak estimates for oscillating kernels
A quadratic integral equation
Algebraic representation of the Nakajima-Zvanzig's generalized master equation
An inequality involving positive kernels
Analysis of integral equations attached to skin effect
Berechnung der ebenen Potentialströmung von rotierenden radialen Profilgittern
Branch points of algebraic integral equations
Continuity of the Radon Transform and its Inverse on Euclidean Space.
Data dependence for some integral equation via weakly Picard operators.
Exemples de noyaux admettant des resolvantes.
Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer.
Haar wavelets method for solving Pocklington's integral equation
A simple and effective method based on Haar wavelets is proposed for the solution of Pocklington’s integral equation. The properties of Haar wavelets are first given. These wavelets are utilized to reduce the solution of Pocklington’s integral equation to the solution of algebraic equations. In order to save memory and computation time, we apply a threshold procedure to obtain sparse algebraic equations. Through numerical examples, performance of the present method is investigated concerning the...
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
Lösung einiger Integralgleichungen erster Art. III. Die Fragen der Lösbarkeit