M. M. Malamud

activity

19982009

J

-nonnegative Sturm-Liouville operators

48 citations · 69 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2009★ 21 cited

1--D Schrödinger operators with local interactions on a discrete set

Aleksey Kostenko, Mark Malamud

Spectral properties of 1-D Schrödinger operators $H_{X, α} := - \frac{d ^{2}}{d x ^{2}} + \sum_{x_{n} \in X} α_{n} δ (x - x_{n})$ with local point interactions on a discrete…

math.SP2008★ 48 cited

The similarity problem for $J$ -nonnegative Sturm-Liouville operators

Illya M. Karabash, Aleksey S. Kostenko, Mark M. Malamud

Sufficient conditions for the similarity of the operator $A := 1/ r (x) (- d^{2} / d x^{2} + q (x))$ with an indefinite weight $r(x)=(\sgn x)|r(x)|$ are obtained. These conditions are formulat…

math.SP1998

The inverse spectral problem for first order systems on the half line

Matthias Lesch, Mark M. Malamud

On the half line $[0, \infty)$ we study first order differential operators of the form $B 1/ i d / (d x) + Q (x)$ , where $B:=\mat{B_1}{0}{0}{-B_2}$, $B_1,B_2\in M(n,\C)$ are self--adjoin…

1--D Schrödinger operators with local interactions on a discrete set

The similarity problem for J-nonnegative Sturm-Liouville operators

The inverse spectral problem for first order systems on the half line

The similarity problem for $J$ -nonnegative Sturm-Liouville operators