Abstract. The paper describes a new method for building regularizing operators for the inversion of real-valued integral transforms. A one-parametric set of regularizing operators is built for each of the following integral transformations: Fourier sine and cosine, Hankel, Laplace and Meijer. The analytical link between the regularized and exact inverse integral transforms is common for all the integral transformations considered. It allows us to conduct a theoretical analysis that gives information about the rate of convergence, and reflects basic features of the numerical inversion of integral transforms. Features of the proposed method of implementation are illustrated with the help of numerical examples of Fourier sine and Laplace transformations.

Print publication: Issue 5 (October 2003)
Received 13 May 2003, in final form 6 August 2003
Published 18 September 2003