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Perturbations of the Haar wavelet by convolution
Author(s):
H.
A.
Aimar;
A.
L.
Bernardis;
O.
P.
Gorosito
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3619-3621.
MSC (2000):
Primary 42C40
Posted:
April 24, 2001
MathSciNet review:
1860495
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Abstract:
In this note we show that the standard convolution regularization of the Haar system generates Riesz bases of smooth functions for , providing in this way an alternative to the approach given by Govil and Zalik [Proc. Amer. Math. Soc. 125 (1997), 3363-3370].
References:
-
- 1.
- S. J. Favier and R. A. Zalik,, On the stability of frames and Riesz bases, Appl. Comput. Harm. Anal. 2 (1995), 160-173. MR 96e:42030
- 2.
- N. K. Govil and R. A. Zalik, Perturbations of the Haar Wavelet, Proc. Amer. Math. Soc.125 (1997), 3363-3370. MR 97m:42025
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Additional Information:
H.
A.
Aimar
Affiliation:
IMAL (CONICET), Güemes 3450, (3000) Santa Fe, Argentina
Email:
haimar@ceride.gov.ar
A.
L.
Bernardis
Affiliation:
IMAL (CONICET), Güemes 3450, (3000) Santa Fe, Argentina
Email:
bernard@ceride.gov.ar
O.
P.
Gorosito
Affiliation:
Departamento de Matemática, Facultad de Ingeniería Química, Universidad Nacional del Litoral, Santiago del Estero 2829, (3000) Santa Fe, Argentina
Email:
ogoro@fiqus.unl.edu.ar
DOI:
10.1090/S0002-9939-01-05939-1
PII:
S 0002-9939(01)05939-1
Keywords:
Riesz bases,
Haar wavelets,
basis perturbations.
Received by editor(s):
January 11, 2000
Received by editor(s) in revised form:
April 20, 2000
Posted:
April 24, 2001
Additional Notes:
This research was supported by CONICET and Proy. CAI+D - UNL
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2001,
American Mathematical Society
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