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- W2952616125 abstract "The behavior of discrete spectrum of Schrodinger operator −� − V , in quite a general setting, up to a large extent is determined by behavior of corresponding heat kernel P(t;x,y) as t ! 0 and t ! 1 . If this behavior is powerlike, i.e., kP(t;�,�)kL1 = O(t −� ), t ! 0; kP(t;�,�)kL1 = O(t −D ), t ! 1 , then it is natural to call exponents �,D the local and the dimension at infinity respectively. The character of spec- tral estimates depends on relations between these dimensions. In paper we analyze case where � < D that was insuffi- ciently studied before. Our applications concern combinatorial and metric graphs." @default.
- W2952616125 created "2019-06-27" @default.
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- W2952616125 date "2010-05-15" @default.
- W2952616125 modified "2023-09-27" @default.
- W2952616125 title "ON THE SPECTRAL ESTIMATES FOR THE SCHR ¨ ODINGER-LIKE OPERATORS: THE CASE OF SMALL LOCAL DIMENSION" @default.
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