I. V. Videnskii, “On an analog of Blaschke products for Hilbert spaces with Nevanlinna–Pick kernels”, Zap. Nauchn. Sem. POMI, 2014, Volume 424,Pages <nobr>126

This article is cited in 3 papers

On an analog of Blaschke products for Hilbert spaces with Nevanlinna–Pick kernels

I. V. Videnskii

St. Petersburg State University, St. Petersburg, Russia

Abstract: 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 $H^\infty$.

Key words and phrases: Hilbert space, reproducing kernel, multipliers.

UDC: 517.5

Received: 09.07.2014