Unconditional bases of reproducing kernels in Hilbert spaces of entire functions

Authors

  • K.P. Isaev
    Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450008, Ufa, Russia
  • R.S. Yulmukhametov
    Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450008, Ufa, Russia

DOI:

https://doi.org/10.13108/2013-5-3-67

Keywords:

Hilbert spaces, entire functions, reproducing kernels, unconditional bases.

Abstract

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.

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Published

20.09.2013

Issue

Vol. 5 No. 3 (2013): Ufa Mathematical Journal 2013, volume 5 , issue 3

Section

Article