10 citations · 17 across the 26 of their papers we have counts for
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math.CV2013★ 3 cited
Realizations of slice hyperholomorphic generalized contractive and positive functions
Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz +1
We introduce generalized Schur functions and generalized positive functions in setting of slice hyperholomorphic functions and study their realizations in terms of associated repro…
math.CV2013
Minimal state space realization, static output feedback and matrix completion of families of systems
Daniel Alpay, Izchak Lewkowicz
We here characterize the minimality of realization of arbitrary linear time-invariant dynamical systems through (i) intersection of the spectra of the realization matrix and of the…
math.FA2013
Infinite product representations for kernels and iterations of functions
D. Alpay, P. Jorgensen, I. Lewkowicz +1
We study infinite products of reproducing kernels with view to their use in dynamics (of iterated function systems), in harmonic analysis, and in stochastic processes. On the way,…