10 citations · 18 across the 22 of their papers we have counts for
Showing 2012 · math.FAShow all
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math.FA2012
Non-commutative stochastic distributions and applications to linear systems theory
Daniel Alpay, Guy Salomon
In this paper, we introduce a non-commutative space of stochastic distributions, which contains the non-commutative white noise space, and forms, together with a natural multiplica…
math.FA2012
On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces
Daniel Alpay, Palle Jorgensen, Ron Seager +1
We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this f…
math.FA2012★ 2 cited
Spectral theory for Gaussian processes: Reproducing kernels, random functions, boundaries, and -wavelet generators with fractional scales
Daniel Alpay, Palle Jorgensen
A recurrent theme in functional analysis is the interplay between the theory of positive definite functions, and their reproducing kernels, on the one hand, and Gaussian stochastic…