Abstract
We study reproducing kernel spaces of power series of Fueter polynomials and their multipliers. In particular we prove a counterpart of Beurling-Lax theorem in the quaternionic Arveson space and we define and characterize counterparts of the Schur-Agler classes. We also address the notion of rationality in the hyperholomorphic setting.
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Alpay, D., Shapiro, M., Volok, D. (2005). Reproducing Kernel Spaces of Series of Fueter Polynomials. In: Förster, KH., Jonas, P., Langer, H. (eds) Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems. Operator Theory: Advances and Applications, vol 162. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7453-5_2
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DOI: https://doi.org/10.1007/3-7643-7453-5_2
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