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Convergence for the regularized inversion of Fourier series

✍ Scribed by Umberto Amato; Italia De Feis

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
963 KB
Volume
87
Category
Article
ISSN
0377-0427

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✦ Synopsis

The problems of smoothing data through a transform in the Fourier domain and of retrieving a function from its Fourier coefficients are analyzed in the present paper. For both of them a solution, based on regularization tools, is known. Aim of the paper is to prove strong results of convergence of the regularized solution and optimality of the Generalized Cross Validation criterion for choosing the regularization parameter.

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