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
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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.
@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/}
}
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/