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Factorisation of Non-negative Fredholm Operators and Inverse Spectral Problems for Bessel Operators |
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| Authors: | S. Albeverio R. Hryniv Ya Mykytyuk |
| Affiliation: | 1. Institut für Angewandte Mathematik, Universit?t Bonn, Wegelerstr. 6, D–53115, Bonn, Germany 2. IZKS and SFB 611, Bonn, Germany 3. BiBoS, Bielefeld, Germany 4. CERFIM, Locarno, Switzerland 5. Accademia di Architettura, Mendrisio, Switzerland 6. Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova st., 79601, Lviv, Ukraine 7. Lviv National University, 1 Universytetska st., 79602, Lviv, Ukraine |
| Abstract: | We study the problem of factorisation of non-negative Fredholm operators acting in the Hilbert space L2(0, 1) and its relation to the inverse spectral problem for Bessel operators. In particular, we derive an algorithm of reconstructing the singular potential of the Bessel operator from its spectrum and the sequence of norming constants. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 47A68 Secondary 34A55, 34B24, 34B30, 47E05 |
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