Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 17, Tome 170 (1989), pp. 82-89
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H. Wolf; V. P. Havin. Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 17, Tome 170 (1989), pp. 82-89. http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a4/
@article{ZNSL_1989_170_a4,
author = {H. Wolf and V. P. Havin},
title = {Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {82--89},
year = {1989},
volume = {170},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a4/}
}
TY - JOUR
AU - H. Wolf
AU - V. P. Havin
TI - Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 82
EP - 89
VL - 170
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a4/
LA - ru
ID - ZNSL_1989_170_a4
ER -
%0 Journal Article
%A H. Wolf
%A V. P. Havin
%T Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 82-89
%V 170
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_170_a4/
%G ru
%F ZNSL_1989_170_a4
Every approximative identity asymptotically multiplicative with respect to $H^\infty(\mathbb{R})$ (or to $H^\infty(\mathbb{T})$) is necessarily a shift and a contraction of the Poisson kernel.
