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math.FA2003★ 1 cited
Rational hyperholomorphic functions in (\mathbb R^4)
D. Alpay, M. Shapiro, D. Volok
We introduce the notion of rationality for hyperholomorphic functions (functions in the kernel of the Cauchy-Fueter operator). Following the case of one complex variable, we give t…
math.OA2003★ 1 cited
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.
math.OA2003
Point evaluation and Hardy space on a homogeneous tree
Daniel Alpay, Dan Volok
We consider transfer functions of time--invariant systems as defined by Basseville, Benveniste, Nikoukhah and Willsky when the discrete time is replaced by the nodes of an homogene…