Quasicontinual representation for a field given on a finite lattice

Our previous results are generalized to the case of a field given in a finite set of points. The corresponding quasicontinual representation of a field is studied. The multiplication law (the dot-product) for quasicontinental representations is established by explicit calculations of the relevant formfactors. The defect of the Leibniz rule for the differentiation of the dot-product is also calculated. Results obtained here permit to replace a discrete set of lattice values of a field by a single continuous function, i.e. its quasicontinual representation. (author)