2019
Том 71
№ 2

All Issues

Vavrykovych L.

Articles: 1
Article (English)

On infinite-rank singular perturbations of the Schrödinger operator

Kuzhel' S. A., Vavrykovych L.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 487–496

Schrodinger operators with infinite-rank singular potentials $\sum^\infty_{i,j=1}b_{i,j}(\psi_j,\cdot)\psi_i$ are studied under the condition that singular elements $\psi_j$ are $\xi_j(t)$-invariant with respect to scaling transformations in ${\mathbb R}^3$.