On a regularization scheme for linear operators in distribution spaces with an application to the spherical Radon transform

Quinto, Eric Todd.
Schuster, Thomas.

This article provides a framework to regularize operator equations of the first kindwhere the underlying operator is linear and continuous between distribution spaces, the dual spacesof smooth functions. To regularize such a problem, the authors extend Louis’ method of approximateinverse from Hilbert spaces to distribution spaces. The idea is to approximate the exact solution inthe weak topology b... read more

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SIAM J. Appl. Math, 65(2005), 1369-1387
ID: tufts:sd.0000498
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