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On non-inclusion of certain functions in reproducing kernel Hilbert spaces by Karvonen, Toni is a scholarly article available to read on EtoBox.

What is On non-inclusion of certain functions in reproducing kernel Hilbert spaces about?

We use a classical characterisation to prove that functions which are bounded away from zero cannot be elements of reproducing kernel Hilbert spaces whose reproducing kernels decays to zero in a suitable way. The result is used to study Hilbert spaces on subsets of the real line induced by analytic translation-invariant kernels which decay to zero at infinity.

Author

Karvonen, Toni

Published

2021

Language

EN