Remark on the theory of reproducing kernels

Details Remark on the theory of reproducing kernels Remark on the theory of reproducing kernels

1999-11-27

arxiv.org/abs/math-ph/9911043v1

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

Physics

Mathematical Physics

Scientific paper

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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