Zeros of functions in fock spaces

This paper studies the zero sets of the Fock spaces . We show that -zero sets are different from zero sets if p ≠ q; the union of two -zero sets is not an -zero set in general; and a subset of an -zero set is not necessarily an -zero set. We also show that if {z n } is an -zero set (not containing the origin) with multiple zeros repeated and modulus in increasing order then there exists a constant ∊> 0 such that for all n>1.