Remark on the theory of reproducing kernels
Mathematical Physics
2007-05-23 v1 Functional Analysis
math.MP
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.
Cite
@article{arxiv.math-ph/9911043,
title = {Remark on the theory of reproducing kernels},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:math-ph/9911043},
year = {2007}
}