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arXiv · 2312.01287

Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm

Daniel Alpay·Tirthankar Bhattacharyya·Abhay Jindal·Poornendu Kumar
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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.

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Daniel Alpay, Tirthankar Bhattacharyya, Abhay Jindal, Poornendu Kumar. 2023-12-03. Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm. https://arxiv.org/abs/2312.01287

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