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Krein extension of a differential operator of even order (1707.06707v1)

Published 20 Jul 2017 in math.SP

Abstract: We describe the Krein extension of minimal operator associated with the expression A:=(-1)n*d2n/dx2n on a finite interval (a,b) in terms of boundary conditions. All non-negative extensions of the operator A as well as extensions with a finite number of negative squares are described.

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