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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.FA2001
Notes on interpolation in the generalized Schur class. II. Nudel'man's problem
D. Alpay, T. Constantinescu, A. Dijksma +1
An indefinite generalization of Nudel'man's problem is used in a systematic approach to interpolation theorems for generalized Schur and Nevanlinna functions with interior and boun…
math.FA2000
A note on interpolation in the generalized Schur class
D. Alpay, T. Constantinescu, A. Dijksma +1
Realization theory for operator colligations on Pontryagin spaces is used to study interpolation and factorization in generalized Schur classes. Several criteria are derived which…