On spectral estimates for Schrödinger-type operators: The case of small local dimension
نویسندگان
چکیده
منابع مشابه
On the Spectral Estimates for the Schrödinger-like Operators: the Case of Small Local Dimension
The behavior of the discrete spectrum of the Schrödinger operator −∆ − V , in quite a general setting, up to a large extent is determined by the behavior of the corresponding heat kernel P (t;x, y) as t → 0 and t → ∞. If this behavior is powerlike, i.e., ‖P (t; ·, ·)‖L∞ = O(t), t → 0; ‖P (t; ·, ·)‖L∞ = O(t), t → ∞, then it is natural to call the exponents δ,D ”the local dimension” and ”the dime...
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ژورنال
عنوان ژورنال: Functional Analysis and Its Applications
سال: 2010
ISSN: 0016-2663,1573-8485
DOI: 10.1007/s10688-010-0037-7