Geodesic
Unconditional bases of reproducing kernels in Hilbert spaces of entire functions
Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 67-76

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We consider the existence of unconditional bases of reproducing kernels in a functional Hilbert space of entire functions. It is proved that under certain conditions, unconditional bases of reproducing kernels do not exist. It is shown that in particular spaces some known theorems on the absence of unconditional bases are the consequences of these results.
Keywords: Hilbert spaces, entire functions, reproducing kernels, unconditional bases. 
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     author = {K. P. Isaev and R. S. Yulmukhametov},
     title = {Unconditional bases of reproducing kernels in {Hilbert} spaces of entire functions},
     journal = {Ufa mathematical journal},
     pages = {67--76},
     publisher = {mathdoc},
     volume = {5},
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     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a6/}
}
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K. P. Isaev; R. S. Yulmukhametov. Unconditional bases of reproducing kernels in Hilbert spaces of entire functions. Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 67-76. http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a6/