Determinants, finite-difference operators and boundary value problems
Identifieur interne : 003153 ( Main/Exploration ); précédent : 003152; suivant : 003154Determinants, finite-difference operators and boundary value problems
Auteurs : R. Forman [États-Unis]Source :
- Communications in Mathematical Physics [ 0010-3616 ] ; 1992.
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- Pascal (Inist)
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Abstract
We relate the determinants of differential and difference opera.tors to the boundary values of solutions of the operators. Previous proofs of related results have involved considering one-parameter families of such operators, showing the desired quantities are equal up to a constant, and then calculating the constant. We take a more direct approach. For a fixed operator, we prove immediately that the two sides of our formulas are equal by using the following simple observation (Proposition 1.3): Let U∈SU(n, C)
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