Spectral properties of continuous refinement operators

被引：14

作者：

Jia, RQ ^{[1
]}

Lee, SL

Sharma, A

机构：

[1] Univ Alberta, Dept Math, Edmonton, AB T6G 2G1, Canada

[2] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 03期

关键词：

continuous refinement equations; up function; continuous refinement operators; compact operators; spectrum; spectral radius; eigenvalues; dilation constant; power iteration;

D O I：

10.1090/S0002-9939-98-04006-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the spectrum of continuous refinement operators and relates their spectral properties with the solutions of the corresponding continuous refinement equations.

引用

页码：729 / 737

页数：9

共 10 条

[1] Aliprantis C.D., 1990, PRINCIPLES REAL ANAL
[2] DAHMEN W, 1993, ADV COMPUT MATH, V1, P1
[3] GENERALIZED REFINEMENT EQUATIONS AND SUBDIVISION PROCESSES
DERFEL, G
DYN, N
LEVIN, D
[J]. JOURNAL OF APPROXIMATION THEORY, 1995, 80 (02) : 272 - 297
[4] MULTIRESOLUTION ANALYSIS BY INFINITELY DIFFERENTIABLE COMPACTLY SUPPORTED FUNCTIONS
DYN, N
RON, A
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1995, 2 (01) : 15 - 20
[5] GOODMAN TNT, 1995, SEA B MATH, V19, P95
[6] KABAYA K., 1988, JAPAN J APPL MATH, V5, P333
[7] Kabaya K., 1987, JAPAN J APPL MATH, V4, P1
[8] COMPACTLY SUPPORTED SOLUTIONS OF FUNCTIONAL-DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
RVACHEV, VA
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (01) : 87 - 120
[9] SHARMA A, IN PRESS P C ALIGARH
[10] [No title captured]

← 1 →