Abstract
We characterize the dual spaces of restrictions of a dual pair of reproducing kernel Hilbert spaces in a discrete set. Consequently, we give a canonical dense subset to the restriction spaces. As applications, we reprove a variational principle in a dual pair of reproducing kernel Hilbert spaces. Also we give a geometric representation for the existence and ergodicity condition of equilibrium Glauber and Kawasaki dynamics for some determinantal point processes.
Citation
Hyun Jae Yoo. "Dual spaces of restrictions in the reproducing kernel Hilbert spaces in discrete sets." Kodai Math. J. 33 (1) 87 - 98, March 2010. https://doi.org/10.2996/kmj/1270559159
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