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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - I. V. Videnskii
TI  - On an analog of Blaschke products for Hilbert spaces with Nevanlinna--Pick kernels
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2014
SP  - 126
EP  - 140
VL  - 424
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2014_424_a2/
LA  - ru
ID  - ZNSL_2014_424_a2
ER  - 
%0 Journal Article
%A I. V. Videnskii
%T On an analog of Blaschke products for Hilbert spaces with Nevanlinna--Pick kernels
%J Zapiski Nauchnykh Seminarov POMI
%D 2014
%P 126-140
%V 424
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2014_424_a2/
%G ru
%F 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/