Exceptional sequences of eigenfunctions for hyperbolic manifolds

被引：3

作者：

Donnelly, Harold ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-06-08613-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Examples are given of hyperbolic manifolds in every dimension at least five which support sequences of eigenfunctions for the Laplacian whose L-infinity-norms grow as a power of the eigenvalue while their L-2-norms are one.

引用

页码：1551 / 1555

页数：5

共 8 条

[1] ARITHMETIC SUBGROUPS OF ALGEBRAIC GROUPS [J].

BOREL, A ;

HARISHCHANDRA .

ANNALS OF MATHEMATICS, 1962, 75 (03) :485-&

[2] Bounds for eigenfunctions of the Laplacian on compact Riemannian manifolds [J].

Donnelly, H .

JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 187 (01) :247-261

[3]

DONNELLY H, 1982, J DIFFER GEOM, V17, P239

[4]

HIRZEBRUCH F, 1973, ENSEIGN MATH, V19, P183

[5] THE BEHAVIOR OF EIGENSTATES OF ARITHMETIC HYPERBOLIC MANIFOLDS [J].

RUDNICK, Z ;

SARNAK, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 161 (01) :195-213

[6]

Sarnak P., 1995, ISRAEL MATH C P, V8, P183

[7] CONSTRUCTION OF HOLOMORPHIC CUSP FORMS OF HALF INTEGRAL WEIGHT [J].

SHINTANI, T .

NAGOYA MATHEMATICAL JOURNAL, 1975, 58 (SEP) :83-126

[8] Lp norms of eigenfunctions in the completely integrable case [J].

Toth, JA ;

Zelditch, S .

ANNALES HENRI POINCARE, 2003, 4 (02) :343-368

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