OperaV1, PascalFrancis, Curation, bibRecord, 000A99

Determinants, finite-difference operators and boundary value problems

Identifieur interne : 000A99 ( PascalFrancis/Curation ); précédent : 000A98; suivant : 000B00

Determinants, finite-difference operators and boundary value problems

Auteurs : R. Forman [États-Unis]

Source :

Communications in Mathematical Physics [ 0010-3616 ] ; 1992.

RBID : Pascal:93-0002356

Descripteurs français

Pascal (Inist)
- Opérateur mathématique, Opérateur différentiel, Déterminant, Problème valeur limite, Convergence, Opérateur différence finie.

English descriptors

KwdEn :
- Boundary value problem, Convergence, Determinant, Differential operator, Mathematical operator.

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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C01	`01`		`ENG`	@0 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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C03	`04`	`X`	`ENG`	`@0 Boundary value problem`
C03	`04`	`X`	`SPA`	`@0 Problema valor limite`
C03	`05`	`X`	`FRE`	`@0 Convergence`
C03	`05`	`X`	`ENG`	`@0 Convergence`
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C03	`06`	`X`	`FRE`	`@0 Opérateur différence finie @4 INC`
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Le document en format XML

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<front><div type="abstract" xml:lang="en">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)</div>
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Determinants, finite-difference operators and boundary value problems

Determinants, finite-difference operators and boundary value problems

Source :

Descripteurs français

English descriptors

Abstract

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