Article

    Ufa Mathematical Journal
    Volume 5, Number 3, pp. 67-76

    Unconditional bases of reproducing kernels in Hilbert spaces of entire functions.


    Isaev K.P., Yulmukhametov R.S.

    DOI:10.13108/2013-5-3-67

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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.