Determinants, finite-difference operators and boundary value problems
Identifieur interne : 000B13 ( PascalFrancis/Checkpoint ); précédent : 000B12; suivant : 000B14Determinants, 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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Forman</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Rice univ., dep. methamatics</s1><s2>Houston TX 77251</s2><s3>USA</s3></inist:fA14><country>États-Unis</country><wicri:noRegion>Houston TX 77251</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Communications in Mathematical Physics</title><title level="j" type="abbreviated">Commun. Math. Phys.</title><idno type="ISSN">0010-3616</idno><imprint><date when="1992">1992</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Communications in Mathematical Physics</title><title level="j" type="abbreviated">Commun. Math. 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