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The functional determinant of a four-dimensional boundary value problem

1994
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Transactions of the American Mathematical Society
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Working on four-dimensional manifolds with boundary, we consider, elliptic boundary value problems (A, B), A being the interior and B the boundary operator. These problems (A, B) should be valued in a tensorspinor bundle; should depend in a universal way on a Riemannian metric g and be formally selfadjoint; should behave in an appropriate way under conformai change g -> Q2g , Í2 a smooth positive function; and the leading symbol of A should be positive definite. We view the functional

doi:10.1090/s0002-9947-1994-1240945-8
fatcat:dva3cfdo4va3rnhe7lqc76vsh4