Riesz bases of normalized reproducing kernels in Fock type spaces

We describe some radial Fock type spaces which possess Riesz bases of normalized reproducing kernels, the spaces F φ of entire functions f such that f e - φ ∈ L 2 ( C ) , where φ ( z ) = φ ( | z | ) is a radial subharmonic function. We prove that F φ has Riesz basis of normalized reproducing kernels for sufficiently regular ψ ( r ) = φ ( e r ) such that ψ ′ ′ ( r ) is bounded above.