Constructs the wave functional model of a symmetric restriction of the Sturm-Liouville operator using the wave spectrum, producing an equivalent second-order differential operator after transformation.
Wave model of the regular Sturm-Liouville operator
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abstract
We describe the wave functional model for the minimal (symmetric) Sturm-Liouville operator on the finite interval. We construct the wave spectrum of this operator, then, following the abstract scheme, we construct the model space of functions on the wave spectrum and introduce in that space the model operator. The latter is a matrix Sturm-Liouville operator which is unitarily equivalent to the original.
fields
math-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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The wave model of the Sturm-Liouville operator on an interval
Constructs the wave functional model of a symmetric restriction of the Sturm-Liouville operator using the wave spectrum, producing an equivalent second-order differential operator after transformation.