Krein extension of a differential operator of even order

Yaroslav Granovskyi; Leonid Oridoroga

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arXiv · 1707.06707

Krein extension of a differential operator of even order

Yaroslav Granovskyi·Leonid Oridoroga

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Abstract

We describe the Krein extension of minimal operator associated with the expression A:=(-1)^n*d^(2n)/dx^(2n) 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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BibTeX RIS

Yaroslav Granovskyi, Leonid Oridoroga. 2017-07-20. Krein extension of a differential operator of even order. https://arxiv.org/abs/1707.06707

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