Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 55-77
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I. V. Dondoshanskii. Spectral synthesis in spaces invariant with respect to one parameter composition semigroups. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 55-77. http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a4/
@article{ZNSL_1993_206_a4,
author = {I. V. Dondoshanskii},
title = {Spectral synthesis in spaces invariant with respect to one parameter composition semigroups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {55--77},
year = {1993},
volume = {206},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a4/}
}
TY - JOUR
AU - I. V. Dondoshanskii
TI - Spectral synthesis in spaces invariant with respect to one parameter composition semigroups
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1993
SP - 55
EP - 77
VL - 206
UR - http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a4/
LA - ru
ID - ZNSL_1993_206_a4
ER -
%0 Journal Article
%A I. V. Dondoshanskii
%T Spectral synthesis in spaces invariant with respect to one parameter composition semigroups
%J Zapiski Nauchnykh Seminarov POMI
%D 1993
%P 55-77
%V 206
%U http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a4/
%G ru
%F ZNSL_1993_206_a4
If $\varphi_t$ is a continuously differentiate composition semigroup of analytic endomorphisms of the disc $\mathbb D$, then all closed subspaces of $\mathrm{Hol}(\mathbb D)$ invariant with respect to this semigroup (acting by compositions) admit spectral synthesis. Bibliography: 11 titles.
