Geodesic
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. 
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     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},
     publisher = {mathdoc},
     volume = {206},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a4/}
}
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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/