Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials

Autor:	Mykytyuk, Ya. V., Trush, N. S.
Rok vydání:	2009
Předmět:	Mathematics - Spectral Theory Mathematics - Functional Analysis 34L20 (Primary) 34B24 34A55 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.1088/0266-5611/26/1/015009
Popis:	We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an algorithm reconstructing the potential from the spectral data that is based on Krein's accelerant method. Comment: 39 pages, uses iopart.cls, iopams.sty and setstack.sty by IOP
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.5217 Zobrazit plný text záznamu View this record from Arxiv