SPECTRAL-ANALYSIS OF THE DIFFERENTIAL OPERATOR IN WAVELET BASES

被引：2
作者：
WALDEN, J
机构：
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1995年 / 2卷 / 04期
关键词：
D O I：
10.1006/acha.1995.1027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the spectral properties of the differential operator in wavelet bases. The problem is studied on a periodic domain, with periodized wavelets. An algorithm for finding the eigenvalue function of the differential operator is presented, and general conditions that ensure a ''nicely behaving'' eigenvalue function are derived. (C) 1995 Academic Press, Inc.
引用
收藏
页码：382 / 391
页数：10
相关论文
共 50 条
[41]   A SURVEY OF SPECTRAL-ANALYSIS [J].
JENKINS, GM .
THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1965, 14 (01) :2-32
[42]   SPECTRAL-ANALYSIS IN PSYCHIATRY [J].
GARCIADELEON, M ;
LARREA, R ;
GERONA, J ;
TEMPRANO, SG ;
CALZADA, J .
ELECTROENCEPHALOGRAPHY AND CLINICAL NEUROPHYSIOLOGY, 1980, 48 (01) :P15-P15
[43]   WALSH SPECTRAL-ANALYSIS [J].
MORETTIN, PA .
SIAM REVIEW, 1981, 23 (03) :279-291
[44]   SPECTRAL-ANALYSIS OF FORCE TREMOR IN DIFFERENTIAL-DIAGNOSIS OF MOTOR DISORDERS [J].
HOMBERG, V ;
HEFTER, H ;
REINERS, K ;
FREUND, HJ .
ELECTROENCEPHALOGRAPHY AND CLINICAL NEUROPHYSIOLOGY, 1983, 56 (03) :S100-S100
[45]   Spectral analysis of the Koopman operator for partial differential equations [J].
Nakao, Hiroya ;
Mezic, Igor .
CHAOS, 2020, 30 (11)
[46]   Spectral Analysis of Differential Operators with Involution and Operator Groups [J].
A. G. Baskakov ;
N. B. Uskova .
Differential Equations, 2018, 54 :1261-1265
[47]   SPECTRAL-ANALYSIS OF VOLTERRA INTEGRAL-DIFFERENTIAL EQUATIONS WITH AFTEREFFECT FUNCTION [J].
SYROTKIN, OL .
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOFIZIKA, 1990, 33 (01) :123-125
[48]   Spectral Analysis of Differential Operators with Involution and Operator Groups [J].
Baskakov, A. G. ;
Uskova, N. B. .
DIFFERENTIAL EQUATIONS, 2018, 54 (09) :1261-1265
[49]   SYNTHESIS AND SPECTRAL-ANALYSIS OF SOME SCHIFF-BASES CONTAINING LONG ALKYL CHAINS [J].
SENAPATI, S ;
MISHRA, BK ;
BEHERA, GB ;
MAHENDROO, PP .
BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN, 1989, 62 (01) :321-324
[50]   An application of wavelet bases in the spectral domain analysis of transmission line discontinuities [J].
Goswami, JC .
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 1998, 11 (01) :41-54
12345