This article is cited in 3 papers

A sufficient condition for essential selfadjointness of polynomials in the Schrödinger operator

Yu. B. Orochko


Abstract: For an arbitrary natural number $m$ we obtain a criterion for essential selfadjointness (in the sense of Hartman and Ismagilov) of $m$ th order polynomials in the Schrödinger operator, subject only to restrictions on the potential on an infinite system of disjoint open sets which are in general separated from each other.
Bibliography: 19 titles.

UDC: 517.43

MSC: Primary 35J10, 47B25; Secondary 34B25, 47A55, 35L15, 28A55

Received: 31.03.1975

 English version: Mathematics of the USSR-Sbornik, 1976, 28:2, 169–185

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