Extension of the Stieltjes moment sequence to the left and related problems of the spectral theory of inhomogeneous string

• Datum: 2007
• Hauptverfasser: Nudel'man, A. A., Нудельман, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3347
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For a nonhomogeneous string with the known mass distribution (the full mass is assumed to be infinite), the known finite length, and the unknown spectral measure $d\sigma(t)$, we construct an analogous string with spectral measure $d\sigma(t)/t$. This allows to calculate the moments of all negativ...