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Статья

Trace Formulas for Schrödinger Operators with Complex Potentials

Russian Journal of Mathematical Physics. 2020. Vol. 27. P. 82-98.

We consider 3-dimensonal Schr¨odinger operators with complex potential. We
obtain new trace formulas with new terms, associated with singular measure. In order to
prove these results, we study analytic properties of a modified Fredholm determinant as a
function from Hardy spaces in the upper half-plane. In fact, we reformulate spectral theory
problems as problems of analytic functions from Hardy spaces.