10 citations · 109 across the 105 of their papers we have counts for
38 papers · 1 filter
Generalized -Fock spaces and structural identities
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler +1
Using -calculus we study a family of reproducing kernel Hilbert spaces which interpolate between the Hardy space and the Fock space. We give characterizations of these spaces in…
Similarity metrics, metrics, and conditionally negative definite functions
Daniel Alpay, Liora Mayats-Alpay
Similarity metric which is not positive definite, and present a general theorem which provides a large family of similarity metrics which are positive definite.
Representation theory and multilevel filters
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
We present a general setting where wavelet filters and multiresolution decompositions can be defined, beyond the classical setting. This is done in a fr…
Schur analysis and discrete analytic functions: Rational functions and co-isometric realizations
Daniel Alpay, Dan Volok
We define and study rational discrete analytic functions and prove the existence of a coisometric realization for discrete analytic Schur multipliers.
Generalized Grassmann algebras and applications to stochastic processes
Daniel Alpay, Paula Cerejeiras, Uwe Kähler
In this paper we present the groundwork for an Itô/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmentry with Z3-graded algebras. To this…
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
Daniel Alpay, Palle Jorgensen
We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present ageneral positive definite…