Construction of optimally conditioned cubic spline wavelets on the interval

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F11%3A%230000380" target="_blank" >RIV/46747885:24510/11:#0000380 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.springerlink.com/content/j55w82260p62h113/" target="_blank" >http://www.springerlink.com/content/j55w82260p62h113/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10444-010-9152-5" target="_blank" >10.1007/s10444-010-9152-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Construction of optimally conditioned cubic spline wavelets on the interval

Popis výsledku v původním jazyce

The paper is concerned with a construction of new spline-wavelet bases on the interval. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments for primal and dual wavelets. Both primal and dual wavelets have compact support. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, and Feauveau. Our objective is to construct interval spline-wavelet bases with the condition number whichis close to the condition number of the spline wavelet bases on the real line, especially in the case of the cubic spline wavelets. We show that the constructed set of functions is indeed a Riesz basis for the space L (2) ([0, 1]) and for the Sobolev space H (s) ([0, 1]) for a certain range of s. Then we adapt the primal bases to the homogeneous Dirichlet boundary conditions of the first order and the dual bases to the complementary boundary conditions. Quantitative properties of the co

Název v anglickém jazyce

Construction of optimally conditioned cubic spline wavelets on the interval

Popis výsledku anglicky

The paper is concerned with a construction of new spline-wavelet bases on the interval. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments for primal and dual wavelets. Both primal and dual wavelets have compact support. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, and Feauveau. Our objective is to construct interval spline-wavelet bases with the condition number whichis close to the condition number of the spline wavelet bases on the real line, especially in the case of the cubic spline wavelets. We show that the constructed set of functions is indeed a Riesz basis for the space L (2) ([0, 1]) and for the Sobolev space H (s) ([0, 1]) for a certain range of s. Then we adapt the primal bases to the homogeneous Dirichlet boundary conditions of the first order and the dual bases to the complementary boundary conditions. Quantitative properties of the co

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

ADVANCES IN COMPUTATIONAL MATHEMATICS

ISSN

1019-7168

e-ISSN

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Svazek periodika

34

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

34

Strana od-do

219-252

Kód UT WoS článku

286189000005

EID výsledku v databázi Scopus

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