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Gramian analysis of multivariate frame multiresolution analyses

Published online by Cambridge University Press:  17 April 2009

Jae Kun Lim
Jae Kun Lim
Affiliation:
CHiPS KAIST, 373–1 Guseong-dong, Yuseong-gu, Daejeon 305–701, Republic of Korea e-mail: jaekun@ftn.kaist.ac.kr
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We perform a Gramian analysis of a frame multiresolution analysis to give a condition for it to admit a minimal wavelet set and to show that the frame bounds of the natural generator for the wavelet space of a degenerate frame multiresolution analysis shrink.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 291 - 300
Copyright
Copyright © Australian Mathematical Society 2002

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