This note corrects some inaccuracies remarked in the paper mentioned in the title. It contains also a few references to recent developments on the dilations completeness problem and points out some old statements of V. Ya. Kozlov from early 1950’s still unproved.
Quelques inexactitudes dans l’article mentionné dans le titre sont corrigées, et une information sur les progrès récents dans le sujet (sur la complétude des dilatations ) est ajoutée. On discute également quelques assertions sur la complétude (de V. Ya. Kozlov, 1950) qu’on n’a pas réussi à démontrer jusqu’à nos jours.
Revised:
Accepted:
Published online:
Keywords: dilations completeness, Hilbert’s multidisc, Bohr transform, cyclic vectors, Riemann hypothesis
Mot clés : complétude des dilatations, multidisque de Hilbert, transformation de Bohr, vecteurs cycliques, l’Hypothèse de Riemann
@article{AIF_2018__68_2_563_0, author = {Nikolski, Nikolai}, title = {A correction to {{\textquotedblleft}In} a shadow of the {RH:} {Cyclic} vectors of {Hardy} spaces on the {Hilbert} multidisc{\textquotedblright}}, journal = {Annales de l'Institut Fourier}, pages = {563--567}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {2}, year = {2018}, doi = {10.5802/aif.3170}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.3170/} }
TY - JOUR AU - Nikolski, Nikolai TI - A correction to “In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc” JO - Annales de l'Institut Fourier PY - 2018 SP - 563 EP - 567 VL - 68 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.3170/ DO - 10.5802/aif.3170 LA - en ID - AIF_2018__68_2_563_0 ER -
%0 Journal Article %A Nikolski, Nikolai %T A correction to “In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc” %J Annales de l'Institut Fourier %D 2018 %P 563-567 %V 68 %N 2 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.3170/ %R 10.5802/aif.3170 %G en %F AIF_2018__68_2_563_0
Nikolski, Nikolai. A correction to “In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc”. Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 563-567. doi : 10.5802/aif.3170. http://www.numdam.org/articles/10.5802/aif.3170/
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