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THE CONSTRUCTION OF A CLASS OF TRIVARIATE NONSEPARABLE COMPACTLY SUPPORTED WAVELETS

YONGDONG HUANG

Institute of Information and System Science, North University for Nationalities, Yinchuan, 750021, P. R. China

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SHOUZHI YANG

Department of Mathematics, Shantou University, Shantou, 515063, P. R. China

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, and

ZHENGXING CHENG

Faculty of Science, Xi'an Jiaotong University, Xi'an, 710049, P. R. China

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https://doi.org/10.1142/S0219691309002908Cited by:2 (Source: Crossref)

Abstract

In this paper, under a mild condition, the construction of compactly supported -wavelets is obtained. Wavelets inherit the symmetry of the corresponding scaling function and satisfy the vanishing moment condition originating in the symbols of the scaling function. An example is also given to demonstrate the general theory.

Keywords:

AMSC: 42C40, 65T60

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