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Regge calculus minisuperspace action in the connection representation has theform in which each term is linear over some field variable (scale of area-typevariable with sign). We are interested in the result of performing integrationover connections in the path integral (now usual multiple integral) as functionof area tensors even in larger region considered as independent variables. Tofind this function (or distribution), we compute its moments, i. e. integralswith monomials over area tensors. Calculation proceeds through intermediateappearance of $\delta$-functions and integrating them out. Up to a singularpart with support on some discrete set of physically unattainable points, thefunction of interest has finite moments. This function in physical regionshould therefore exponentially decay at large areas and it really does beingrestored from moments. This gives for gravity a way of defining suchnonabsolutely convergent integral as path integral.

Attributing sense to some integrals in Regge calculus