Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations

Qingtang Jiang; Rong-Qing Jia; Zuowei Shen

Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations

Qingtang Jiang
, Rong-Qing Jia
, Zuowei Shen

University of Missouri-St. Louis

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

Original language	American English
Journal	SIAM Journal of Mathematical Analysis
Volume	32
State	Published - 2000

Disciplines

Physical Sciences and Mathematics

Cite this

@article{e54dc71ce8b347038828fcbb558ecccf,

title = "Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations",

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

note = "Discrete and continuous refinement equations have been widely studied in the literature for the last few years, due to their applications to the areas of wavelet analysis and geometric modeling. However, there is no {"}universal{"} theorem that deals with the problem about the existence of compactly supported distributional solutions for both discrete and continuous refinement equations simultaneously.",

year = "2000",

language = "American English",

volume = "32",

journal = "SIAM Journal of Mathematical Analysis",

}

TY - JOUR

T1 - Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations

AU - Jiang, Qingtang

AU - Jia, Rong-Qing

AU - Shen, Zuowei

N1 - Discrete and continuous refinement equations have been widely studied in the literature for the last few years, due to their applications to the areas of wavelet analysis and geometric modeling. However, there is no "universal" theorem that deals with the problem about the existence of compactly supported distributional solutions for both discrete and continuous refinement equations simultaneously.

PY - 2000

Y1 - 2000

UR - https://epubs.siam.org/doi/pdf/10.1137/S0036141099350882

M3 - Article

VL - 32

JO - SIAM Journal of Mathematical Analysis

JF - SIAM Journal of Mathematical Analysis

ER -

Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations

Disciplines

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