UPPER-BOUNDS ON THE NUMBER OF RESONANCES FOR NONCOMPACT RIEMANN SURFACES

被引：64

作者：

GUILLOPE, L ^{[1
]}

机构：

[1] JOHNS HOPKINS UNIV, DEPT MATH, BALTIMORE, MD 21218 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 129卷 / 02期

关键词：

D O I：

10.1006/jfan.1995.1055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolvent (Delta(X)-s(l-s))(-1), Res > l of the Laplacian on X extends to a meromorphic family of operators on C and its poles are called resonances. We prove an optimal polynomial bound for their counting function. (C) 1995 Academic Press, Inc.

引用

页码：364 / 389

页数：26

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