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

E. D. Gal'kovskiĭ, A. I. Nazarov

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.

Язык оригиналаанглийский
Страницы (с-по)411-427
Число страниц17
ЖурналSt. Petersburg Mathematical Journal
Том30
Номер выпуска3
DOI
СостояниеОпубликовано - 1 янв 2019

Отпечаток

Signed Measure
Trace Formula
Differential operator
Multiplication
First-order
Perturbation
Zero
Coefficient
Operator

Предметные области Scopus

  • Анализ
  • Алгебра и теория чисел
  • Прикладная математика

Цитировать

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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.

В: St. Petersburg Mathematical Journal, Том 30, № 3, 01.01.2019, стр. 411-427.

Результат исследований: Научные публикации в периодических изданияхстатья

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.

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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

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