Reproducing Kernel Hilbert Space vs. Frame Estimates

Mathematics

Palle E. T. Jorgensen²  Myung-Sin Song¹ 

[1] Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Box 1653, Edwardsville, IL 62026, USA;Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA; E-Mail:

关键词: Hilbert space;    frames;    reproducing kernel;    Karhunen-Loève;   

DOI  :  10.3390/math3030615

来源: mdpi

【 摘 要 】

We consider conditions on a given systemthe structure of a reproducing kernel Hilbert space of functions on Ω. We further give an explicit formula for the kernel, and for the corresponding isometric isomorphism. Applications are given to Hilbert spaces associated to families of Gaussian processes.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.