  We address the issue of the relation between the canonical functional
Schr\"odinger representation in quantum field theory and the approach of
precanonical field quantization proposed by the author, which requires neither
a distinguished time variable nor infinite-dimensional spaces of field
configurations. We argue that the standard functional derivative Schr\"odinger
equation can be derived from the precanonical Dirac-like covariant
generalization of the Schr\"odinger equation under the formal limiting
transition $\gamma^0\varkappa\rightarrow\delta(\mathbf{0})$, where the constant
$\varkappa$ naturally appears within the precanonical quantization as the
inverse of a small "elementary volume" of space. We obtain a formal explicit
expression of the Schr\"odinger wave functional as a continuous product of the
Dirac algebra valued precanonical wave functions, which are defined on the
finite-dimensional covariant configuration space of the field variables and
space-time variables.
