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5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

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Sampling theory, reproducing kernel, the Tikhonov regularization and their numerical applications
by
Tsutomu Matsuura
Gunma University
Coauthors: Saburou Saitoh

We shall discuss the relations among sampling theory (Sinc method), reproducing kernels and the Tikhonov regularization. Here, we will see the important difference of the Sobolev Hilbert spaces and the Paley-Wiener space when we use their reproducing kernel Hibert spaces as approximate spaces in the Tikhonov regularization. Further, we shall illustrate numerical experimences for the both case results by using computers.

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Date received: May 13, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqw-33.