The problem of differential operators with nonlocal boundary condition appears, e.g., in scattering theory, diffusion processes and the other applicable fields. In this paper, we consider a class of differential operators with nonlocal boundary condition, and give its trace formula of Gelfand-Levitan type.
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Russian Acad Sci, Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, RussiaRussian Acad Sci, Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia
Aleksandrov, A. B.
Peller, V. V.
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Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
RUDN Univ, Moscow 117198, RussiaRussian Acad Sci, Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia
Peller, V. V.
Potapov, D. S.
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Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, AustraliaRussian Acad Sci, Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia