Uniqueness theorem and singular spectrum in the Friedrichs model near a singular point

DOI10.1090/S1061-0022-03-00807-0zbMath1092.47023OpenAlexW1508122984MaRDI QIDQ4463747

S. I. Yakovlev

Publication date: 8 June 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-03-00807-0

zbMATH Keywords

analytic functionuniqueness theoremsingular spectrumFriedrichs model

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Cites Work

• Conditions for the finiteness of the singular spectrum in the self- adjoint Friedrichs model
• Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model
• On the singular spectrum of the Friedrichs model operators in a neighborhood of a singular point
• The singular spectrum of the weakly perturbed multiplication operator
• Sets of uniqueness for functions regular in the unit circle
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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