We study the isospectral sets for the discrete ID Schrodinger operator on Z with a N+l periodic potential. We show that for small odd potentials the isospectral set consists of 2(N+1)/2 elements, while for the large potentials the isospectral set consists of (N + 1)! elements. Moreover, the asymptotics of the end of the spectrum of the Schrodinger operator for small (and large) potentials are determined.
|Title of host publication||ОБРАТНАЯ ЗАДАЧА ДЛЯ ДИСКРЕТНОГО ПЕРИОДИЧЕСКОГО ОПЕРАТОРА ШРЁДИНГЕРА Inverse problem for the discrete periodic Schrodinger operator|
|Publication status||Published - 2004|