Dual spaces of restrictions in the reproducing kernel Hilbert spaces in discrete sets
Yoo, Hyun Jae
Kodai Math. J., Tome 33 (2010) no. 1, p. 87-98 / Harvested from Project Euclid
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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.
Publié le : 2010-03-15
Classification:  
@article{1270559159,
     author = {Yoo, Hyun Jae},
     title = {Dual spaces of restrictions in the reproducing kernel Hilbert spaces in discrete sets},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 87-98},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270559159}
}

Yoo, Hyun Jae. Dual spaces of restrictions in the reproducing kernel Hilbert spaces in discrete sets. Kodai Math. J., Tome 33 (2010) no. 1, pp.  87-98. http://gdmltest.u-ga.fr/item/1270559159/