Inverse spectral problems for Dirac operators with summable matrix-valued potentials

Autor:	Puyda, D. V.
Rok vydání:	2012
Předmět:	Mathematics - Spectral Theory Mathematics - Functional Analysis 34L40 34A55
Zdroj:	Integr. Equ. Oper. Theory 74 (2012) 417-450
Druh dokumentu:	Working Paper
DOI:	10.1007/s00020-012-2001-9
Popis:	We consider the direct and inverse spectral problems for Dirac operators on $(0,1)$ with matrix-valued potentials whose entries belong to $L_p(0,1)$, $p\in[1,\infty)$. We give a complete description of the spectral data (eigenvalues and suitably introduced norming matrices) for the operators under consideration and suggest a method for reconstructing the potential from the corresponding spectral data. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1205.2250 Zobrazit plný text záznamu View this record from Arxiv