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math.FA2020★ 1 cited
Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball
Danny Ofek, Satish K. Pandey, Orr Shalit
In this paper we study the relationships between a reproducing kernel Hilbert space, its multiplier algebra, and the geometry of the point set on which they live. We introduce a va…
math.FA2020★ 2 cited
Three Classification Results In The Theory Of Weighted Hardy Spaces On The Ball
Danny Ofek, Gilad Sofer
We present a natural family of Hilbert function spaces on the d-dimensional complex unit ball and classify which of them satisfy that subsets of the ball yield isometrically isomor…