Abstract
The notion of the reproducing kernel Hilbert space has played a central role in operator theory and applications since its introduction by Aronszajn in 1950. We explore here the basic ideas and some applications of an extension of this idea to the setting of Hilbert spaces whose elements are formal power series in possibly noncommuting indeterminates.
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Ball, J.A., Vinnikov, V. (2003). Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings. In: Alpay, D. (eds) Reproducing Kernel Spaces and Applications. Operator Theory: Advances and Applications, vol 143. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8077-0_3
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DOI: https://doi.org/10.1007/978-3-0348-8077-0_3
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