On the equivalence of brushlet and wavelet bases
Publikation: Forskning › Rapport
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On the equivalence of brushlet and wavelet bases. / Borup, Lasse; Nielsen, Morten.
Aalborg : Department of Mathematical Sciences, Aalborg University, 2004. 18 s. (Research Report Series; Nr. R-2004-20).Publikation: Forskning › Rapport
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TY - RPRT
T1 - On the equivalence of brushlet and wavelet bases
A1 - Borup,Lasse
A1 - Nielsen,Morten
AU - Borup,Lasse
AU - Nielsen,Morten
PB - Department of Mathematical Sciences, Aalborg University
PY - 2004
Y1 - 2004
N2 - We prove that the Meyer wavelet basis and a class of brushlet systems associated with exponential type partitions of the frequency axis form a family of equivalent (unconditional) bases for the Besov and Triebel-Lizorkin function spaces. This equivalence is then used to obtain new results on nonlinear approximation with brushlets in Triebel-Lizorkin spaces.
AB - We prove that the Meyer wavelet basis and a class of brushlet systems associated with exponential type partitions of the frequency axis form a family of equivalent (unconditional) bases for the Besov and Triebel-Lizorkin function spaces. This equivalence is then used to obtain new results on nonlinear approximation with brushlets in Triebel-Lizorkin spaces.
BT - On the equivalence of brushlet and wavelet bases
T3 - Research Report Series
T3 - en_GB
ER -