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Oblique multiwavelets in Hilbert spaces
Author(s):
Wai-Shing
Tang
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2017-2031.
MSC (2000):
Primary 46C99, 47B99, 46B15
Posted:
November 1, 1999
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Abstract:
In this paper, we elucidate the relationship between two consecutive levels of a multiresolution in the general setting of a Hilbert space. We first prove a result on an extendability problem and then derive, as a consequence, characterizations of oblique multiwavelets in a Hilbert space.
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Additional Information:
Wai-Shing
Tang
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Republic of Singapore
Email:
mattws@math.nus.edu.sg
DOI:
10.1090/S0002-9939-99-05432-5
PII:
S 0002-9939(99)05432-5
Keywords:
Riesz basis,
biorthogonal system,
oblique projection,
multiwavelets
Received by editor(s):
August 24, 1998
Posted:
November 1, 1999
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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