Remarks on Interpolation in Reproducing Kernel Hilbert Spaces

• Autores: Vladimir Bolotnikov, Leiba Rodman
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 2, 2004, págs. 559-576
• Idioma: inglés
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• Resumen

  • An interpolation problem in reproducing kernel Hilbert spaces is formulated and solved in terms of the minimal solution and the elements of an auxiliary reproducing kernel Hilbert space, subject to a norm constraint. The scheme is illustrated with two particular reproducing kernel Hilbert spaces: the Arveson space and the Bergman space, where the general theorem leads to convenient parametrizations of the solution sets.