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References
H. G. Dales, Convolution algebras on the real line, this Volume.
Y. Domar, Spectral analysis in spaces of sequences summable with weights, J. Functional Analysis, 5 (1970), 1–13.
_____, On the existence of non-trivial or non-standard translation invariant subspaces in weighted ℓpP and LpP, 18th Scandinavian Congress of Mathematicians, Proceedings, 1980, Progress in Mathematics, Vol. 11 (1981), 226–235.
_____, Translation invariant subspaces of weighted ℓpP and Lp spaces, Math. Scand., 49 (1981), 133–144.
S. P. Geisberg, Completeness of function shifts in certain spaces, Dokl. Akad. Nauk SSSR, 173 (1967), 741–744.
S. P. Geisberg and V. S. Konjuhovskii, Description of certain systems of primary ideals in rings of functions integrable with weight, Leningrad. Gos. Ped. Inst. Učen. zap., 404 (1971), 349–361.
B. Korenblum, A generalization of Wiener's tauberian theorem and spectrum of fast-growing functions, trudy Moskov. Mat. Obšč., 7 (1958), 121–148.
_____, Phragmén-Lindelöf type theorems for quasi-analytic classes of functions, Issled. sovremen. Probl. Teor. Funkcii Kompleks. Peremen., IV. vsesojuz. Konf. Moskov. Univ., 1958 (1961), 510–514.
B. Nyman, On the one-dimensional translation group and semi-group in certain function spaces, Thesis, Uppsala 1950.
R. E. A. C. Paley and N. Wiener, Fourier Transforms in the Complex Domain, American Math. Soc., New York, 1934.
A. Vretblad, Spectral analysis in weighted L1 spaces on ℝ, Ark. Mat., 11 (1973), 109–138.
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Domar, Y. (1983). Bilaterally translation-invariant subspaces of weighted Lp(R). In: Bachar, J.M., Bade, W.G., Curtis, P.C., Dales, H.G., Thomas, M.P. (eds) Radical Banach Algebras and Automatic Continuity. Lecture Notes in Mathematics, vol 975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064551
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DOI: https://doi.org/10.1007/BFb0064551
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