Real analyticity of reproducing kernel Hilbert spaces

Hongwei Sun · Journal of Science of Teachers' College and University · 2013

Based on reproducing kernel Hilbert spaces(RKHS)associated with translation-invariant Mercer kernels,prove that when the kernel is real analytic,every function from the RKHS is real analytic,and gave its radius of convergence by applying a special derivative reproducing property.

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