### Abstract

A first order trace formula is obtained for a second order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite signed measure.

Original language | English |
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Pages (from-to) | 411-427 |

Number of pages | 17 |

Journal | St. Petersburg Mathematical Journal |

Volume | 30 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jan 2019 |

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### Scopus subject areas

- Analysis
- Algebra and Number Theory
- Applied Mathematics

### Cite this

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*St. Petersburg Mathematical Journal*, vol. 30, no. 3, pp. 411-427. https://doi.org/10.1090/spmj/1549

**A general trace formula for a differential operator on a segment with zero order coefficient perturbed by a finite signed measure.** / Gal'kovskiĭ, E. D.; Nazarov, A. I.

Research output

TY - JOUR

T1 - A general trace formula for a differential operator on a segment with zero order coefficient perturbed by a finite signed measure

AU - Gal'kovskiĭ, E. D.

AU - Nazarov, A. I.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A first order trace formula is obtained for a second order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite signed measure.

AB - A first order trace formula is obtained for a second order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite signed measure.

KW - Cesàro summability

KW - Regularized trace

KW - Singular potential

UR - http://www.scopus.com/inward/record.url?scp=85064759959&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/general-trace-formula-differential-operator-segment-zero-order-coefficient-perturbed-finite-signed-m

U2 - 10.1090/spmj/1549

DO - 10.1090/spmj/1549

M3 - Article

AN - SCOPUS:85064759959

VL - 30

SP - 411

EP - 427

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -