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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 1992 Volume 183, Number 1, Pages 65–88 (Mi sm1447)
Complex powers of the Schrödinger operator with a homogeneous, degenerate potential

A. I. Karol'

Leningrad State University

Abstract: A meromorphic extension to the entire complex plane of the Schrödinger operator with a smooth, degenerate potential homogeneous at infinity is constructed.

MSC: Primary 35J10; Secondary 35P20

Received: 17.09.1990


 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1993, 75:1, 61–83

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© Steklov Math. Inst. of RAS, 2026