Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets

Qingtang Jiang; Rong-Qing Jia

doi:10.1137/S0895479801397858

Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets

Qingtang Jiang
, Rong-Qing Jia

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates spectral properties of the transition operator associated to a multivariate vector refinement equation and their applications to the study of smoothness of the corresponding refinable vector of functions.

Original language	American English
Journal	SIAM Journal of Matrix Analysis and Applications
Volume	24
DOIs	https://doi.org/10.1137/S0895479801397858
State	Published - 2003

Disciplines

Physical Sciences and Mathematics

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Cite this

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title = "Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets",

abstract = " This paper investigates spectral properties of the transition operator associated to a multivariate vector refinement equation and their applications to the study of smoothness of the corresponding refinable vector of functions.",

author = "Qingtang Jiang and Rong-Qing Jia",

note = "This paper investigates spectral properties of the transition operator associated to a multivariate vector refinement equation and their applications to the study of smoothness of the corresponding refinable vector of functions.",

year = "2003",

doi = "10.1137/S0895479801397858",

language = "American English",

volume = "24",

journal = "SIAM Journal of Matrix Analysis and Applications",

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AU - Jiang, Qingtang

AU - Jia, Rong-Qing

N1 - This paper investigates spectral properties of the transition operator associated to a multivariate vector refinement equation and their applications to the study of smoothness of the corresponding refinable vector of functions.

PY - 2003

Y1 - 2003

N2 - This paper investigates spectral properties of the transition operator associated to a multivariate vector refinement equation and their applications to the study of smoothness of the corresponding refinable vector of functions.

AB - This paper investigates spectral properties of the transition operator associated to a multivariate vector refinement equation and their applications to the study of smoothness of the corresponding refinable vector of functions.

UR - https://epubs.siam.org/doi/abs/10.1137/S0895479801397858

U2 - 10.1137/S0895479801397858

DO - 10.1137/S0895479801397858

M3 - Article

VL - 24

JO - SIAM Journal of Matrix Analysis and Applications

JF - SIAM Journal of Matrix Analysis and Applications

ER -

Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets

Abstract

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