Entire functions in weighted $L_2$ and zero modes of the Pauli operator with non-signdefinite magnetic field

G. Rozenblum, N. Shirokov

For a real non-signdefinite function $B(z)$, $z\in \C$, we investigate the dimension of the space of entire analytical functions square integrable with weight $e^{\pm 2F}$, where t…