Unconditional bases in radial Hilbert spaces
Izvestiya. Mathematics , Tome 86 (2022) no. 1, pp. 150-168
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We prove necessary and (separate) sufficient conditions for the existence of unconditional bases
of reproducing kernels in abstract radial Hilbert function spaces that are stable under division,
in terms of the norms of monomials.
Keywords:
Hilbert spaces, entire functions, unconditional bases, reproducing kernels.
@article{IM2_2022_86_1_a4,
author = {K. P. Isaev and R. S. Yulmukhametov},
title = {Unconditional bases in radial {Hilbert} spaces},
journal = {Izvestiya. Mathematics },
pages = {150--168},
publisher = {mathdoc},
volume = {86},
number = {1},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2022_86_1_a4/}
}
K. P. Isaev; R. S. Yulmukhametov. Unconditional bases in radial Hilbert spaces. Izvestiya. Mathematics , Tome 86 (2022) no. 1, pp. 150-168. http://geodesic.mathdoc.fr/item/IM2_2022_86_1_a4/