Remark on the theory of reproducing kernels

1999/11/27 by A. G. Ramm
Physics and Astronomy · Mathematics · #math-ph #math.FA #math.MP #msc:47B25

paper · pdf

published as Jour of Inverse and Ill-Posed probl., 6,N5, (1998), 515-520

arxiv created 1999/11/27 · arxiv updated 2009/11/30

Abstract

Foundations of the theory of Hilbert spaces with reproducing kernels are discussed. It is demonstrated that the claims in the papers of S.Saitoh and in his book "Theory of reproducing kernels and applications, Pitman research notes, 189, Longman, New York, 1988, that a characterization of the range of arbitrary linear transform is obtained in his works, is not correct.

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