1 citations · 2 across the 4 of their papers we have counts for
4 papers
An interpolation problem for functions with values in a commutative ring
Daniel Alpay, Haim Attia
It was recently shown that the theory of linear stochastic systems can be viewed as a particular case of the theory of linear systems on a certain commutative ring of power series…
White noise based stochastic calculus associated with a class of Gaussian processes
Daniel Alpay, Haim Attia, David Levanony
Using the white noise space setting, we define and study stochastic integrals with respect to a class of stationary increment Gaussian processes. We focus mainly on continuous func…
On the characteristics of a class of Gaussian processes within the white noise space setting
Daniel Alpay, Haim Attia, David Levanony
Using the white noise space framework, we define a class of stochastic processes which include as a particular case the fractional Brownian motion and its derivative. The covarianc…
Spectral factorization in the non-stationary Wiener algebra
D. Alpay, H. Attia, S. Ben-Porat +1
We define the non-stationary analogue of the Wiener algebra and prove a spectral factorization theorem in this algebra.