10 citations · 18 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Interpolation by polynomials with symmetries on the imaginary axis
Daniel Alpay, Izchak Lewkowicz
We here specialize the standard matrix-valued polynomial interpolation to the case where on the imaginary axis the interpolating polynomials admit various symmetries: Positive semi…