On the extensions and the characteristic function of a~symmetric operator
Izvestiya. Mathematics , Tome 2 (1968) no. 1, pp. 181-203

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In this paper we describe a class of dissipative and “accumulative” extensions of a symmetric operator $A$ acting in a Hilbert space $H$. The concept of the characteristic function of an operator $A$ is defined in terms of such extensions, and its boundary values are studied. In the general case the domain of definition of the operator $A$ is not assumed to be dense in $H$.
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A. V. Strauss. On the extensions and the characteristic function of a~symmetric operator. Izvestiya. Mathematics , Tome 2 (1968) no. 1, pp. 181-203. http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a7/