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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 206, Pages 55–77 (Mi znsl5806)  
Spectral synthesis in spaces invariant with respect to one parameter composition semigroups

I. V. Dondoshanskii
Full-text PDF (1104 kB)
Abstract: 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.
English version:
Journal of Mathematical Sciences, 1996, Volume 80, Issue 4, Pages 1908–1921
DOI: https://doi.org/10.1007/BF02367005
Bibliographic databases:
Document Type: Article
UDC: 517.85
Language: Russian
Citation: I. V. Dondoshanskii, “Spectral synthesis in spaces invariant with respect to one parameter composition semigroups”, Investigations on linear operators and function theory. Part 21, Zap. Nauchn. Sem. POMI, 206, Nauka, St. Petersburg, 1993, 55–77; J. Math. Sci., 80:4 (1996), 1908–1921
Citation in format AMSBIB
\Bibitem{Don93}
\by I.~V.~Dondoshanskii
\paper Spectral synthesis in spaces invariant with respect to one parameter composition semigroups
\inbook Investigations on linear operators and function theory. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 206
\pages 55--77
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5806}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255315}
\zmath{https://zbmath.org/?q=an:0817.43002|0860.43006}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 80
\issue 4
\pages 1908--1921
\crossref{https://doi.org/10.1007/BF02367005}
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