Expansions in characteristic functions of the nonself-adjoint Schrödinger operator

Kh. Kh. Murtazin

V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR

Abstract: Contour integration is used to obtain expansions in characteristic functions of the non-self-adjoint Schrödinger operator $-\Delta u(x)+q(x)u(x)$ in the space $L_2(E_n)$ ($n=2, 3$), where $q(x)$ is a complex-valued measurable function, $|q(x)|\leqslant Ce^{-\varepsilon|x|}$, and $\varepsilon$, and $C$ are positive constants.

UDC: 513.88

Received: 02.10.1969

 English version: Mathematical Notes, 1971, 9:1, 192–196

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