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Analysis of compactly supported nonstationary biorthogonal wavelet systems based on exponential B-splines

Title
Analysis of compactly supported nonstationary biorthogonal wavelet systems based on exponential B-splines
Authors
Lee Y.J.Yoon J.
Ewha Authors
윤정호
SCOPUS Author ID
윤정호scopus
Issue Date
2011
Journal Title
Abstract and Applied Analysis
ISSN
1085-3375JCR Link
Citation
vol. 2011
Indexed
SCOPUS WOS scopus
Abstract
This paper is concerned with analyzing the mathematical properties, such as the regularity and stability of nonstationary biorthogonal wavelet systems based on exponential B-splines. We first discuss the biorthogonality condition of the nonstationary refinable functions, and then we show that the refinable functions based on exponential B-splines have the same regularities as the ones based on the polynomial B-splines of the corresponding orders. In the context of nonstationary wavelets, the stability of wavelet bases is not implied by the stability of a refinable function. For this reason, we prove that the suggested nonstationary wavelets form Riesz bases for the space that they generate. Copyright © 2011 Yeon Ju Lee and Jungho Yoon.
DOI
10.1155/2011/593436
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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