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Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm (2312.01287v1)
Published 3 Dec 2023 in math.FA
Abstract: We investigate the Schwarz lemma and the Schur algorithm for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space on the open unit ball whose kernel satisfies the complete Nevanlinna-Pick property. This paper also explores the Poincar\'e contractivity for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space whose kernel satisfies the property mentioned above.