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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2010 Volume 51, Number 4, Pages 721–737 (Mi smj2120)

This article is cited in 5 papers

About the spectrum and the trace formula for the operator Bessel equation

N. M. Aslanova

Institute of Mathematics and Mechanics, Baku, Azerbaijan

Abstract: We study the asymptotics of the distribution function and compute the regularized trace of a boundary value problem for the operator-differential equation with the boundary value depending on a spectral parameter.

Keywords: Hilbert space, trace class operator, discrete spectrum, resolvent, regularized trace.

UDC: 517.984

Received: 03.07.2008
Revised: 17.11.2009


 English version:
Siberian Mathematical Journal, 2010, 51:4, 569–583

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© Steklov Math. Inst. of RAS, 2026