69 citations · 208 across the 20 of their papers we have counts for
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On the extension of positive definite kernels to topological algebras
Daniel Alpay, Ismael L. Paiva
We define an extension of operator-valued positive definite functions from the real or complex setting to topological algebras, and describe their associated reproducing kernel spa…
A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics
Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa
We develop some aspects of the theory of hyperholomorphic functions whose values are taken in a Banach algebra over a field -- assumed to be the real or the complex numbers -- and…
Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra
Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa
We begin a study of Schur analysis in the setting of the Grassmann algebra, when the latter is completed with respect to the -norm. We focus on the rational case. We start with…