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Two-Interval Sturm–Liouville Operators in Direct Sum Spaces with Inner Product Multiples

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In direct sum spaces with inner product multiples, we study two-interval Sturm–Liouville problems. For singular problems, we generate self-adjoint realizations for boundary conditions with any real coupling matrix whose determinant is positive. This contrasts with the usual theory which requires the coupling matrix to have determinant one.

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Correspondence to Anton Zettl.

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This paper is in final form and no version of it will be submitted for publication elsewhere.

Received: September 28, 2006.

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Sun, J., Wang, A. & Zettl, A. Two-Interval Sturm–Liouville Operators in Direct Sum Spaces with Inner Product Multiples. Result. Math. 50, 155–168 (2007). https://doi.org/10.1007/s00025-006-0241-1

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  • DOI: https://doi.org/10.1007/s00025-006-0241-1

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