91-35 O.Barraza , H.Falomir , R.E.Gamboa Saravi , E.M.Santangelo

P-determinants and boundary values (32K, LaTeX) Oct 2, 91

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Abstract. We show that a regularized determinant based on Hilbert's approach (wich we call the "p-determinant") of a quotient of elliptic operators defined on a manifold with boundary is equal to the "p-determinant" of a quotient of pseudodifferential operators. The last ones are entirely expressible in terms of boundary values of solutions of the original differential operators. We argue that, in the context of Quantum Field Theory, this boundary values also determine the subtractions (i.e., the counterterms) to which this regularization scheme gives rise.

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