On an analog of Blaschke products for Hilbert spaces with Nevanlinna--Pick kernels
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 42, Tome 424 (2014), pp. 126-140
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We investigate the convergence of an infinite product of multipliers for a Hilbert space with Nevanlinna-Pick kernel. It is natural to view these products as an analog of Blaschke products in the algebra $H^\infty$.
@article{ZNSL_2014_424_a2,
author = {I. V. Videnskii},
title = {On an analog of {Blaschke} products for {Hilbert} spaces with {Nevanlinna--Pick} kernels},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {126--140},
publisher = {mathdoc},
volume = {424},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_424_a2/}
}
I. V. Videnskii. On an analog of Blaschke products for Hilbert spaces with Nevanlinna--Pick kernels. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 42, Tome 424 (2014), pp. 126-140. http://geodesic.mathdoc.fr/item/ZNSL_2014_424_a2/