Abstract:
In the scale of the growth types of entire functions defined in terms of
certain comparison functions the maximal convergence and uniqueness spaces are found for Abel–Goncharov interpolation problems with nodes of interpolation (either arbitrary complex or real) in classes defined by a sequence of majorants of the nodes.
\Bibitem{Pop02}
\by A.~Yu.~Popov
\paper Bounds for convergence and uniqueness in Abel--Goncharov interpolation
problems
\jour Sb. Math.
\yr 2002
\vol 193
\issue 2
\pages 247--277
\mathnet{http://mi.mathnet.ru/eng/sm629}
\crossref{https://doi.org/10.1070/SM2002v193n02ABEH000629}
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Linking options:
https://www.mathnet.ru/eng/sm629
https://doi.org/10.1070/SM2002v193n02ABEH000629
https://www.mathnet.ru/eng/sm/v193/i2/p97
This publication is cited in the following 3 articles:
Michel Waldschmidt, “On transcendental entire functions with infinitely many derivatives taking integer values at several points”, Moscow J. Comb. Number Th., 9:4 (2020), 371
G. G. Braichev, “Ob odnoi probleme Adamara i sglazhivanii vypuklykh funktsii”, Vladikavk. matem. zhurn., 7:3 (2005), 11–25
A. Yu. Popov, “On the completeness of sparse subsequences of systems of functions of the form f(n)(λnz)”, Izv. Math., 68:5 (2004), 1025–1049
Citation in format AMSBIB
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