On the trace formula for higher-order ODO
classification
🧮 math.SP
keywords
formulahigher-orderoperatorordertracecasecomplex-valueddifferential
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A first order trace formula is obtained for a higher-order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite complex-valued measure. For the operators of even order $n\ge4$ a new term in the final formula is discovered.
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