Geodesic
Orthosimilar expansion systems in space with reproducing kernel
Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 88-100

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We study expansion system similar to orthogonal ones (orthosimilar systems) in reproducing kernel Hilbert spaces. We establish the equivalency of two definitions of orthosimilar system. We show the relation of orthosimilar system with the problem on description of the dual space to a Hilbert space in terms of a special system of functions.
Keywords: Bergman space, Hilbert spaces, reproducing kernel, reproducing kernel Hilbert space, Paley-Wiener theorem. 
@article{UFA_2013_5_4_a8,
     author = {V. V. Napalkov (Jr.)},
     title = {Orthosimilar expansion systems in space with  reproducing kernel},
     journal = {Ufa mathematical journal},
     pages = {88--100},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_4_a8/}
}
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V. V. Napalkov (Jr.). Orthosimilar expansion systems in space with  reproducing kernel. Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 88-100. http://geodesic.mathdoc.fr/item/UFA_2013_5_4_a8/