The Orthonormality of Two-Variate Scaling Functions
Received:May 27, 1999  
Key Words: scaling function   Cohen criterion   orthonormality   non-induced filters.  
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Author NameAffiliation
ZHOU Xian-bo Lingnan College
Zhongshan University
Guangzhou
China 
CHEN Wen-sheng Shenzhen University
Guangdong
China 
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Abstract:
      In this paper we prove a sufficient condition for (A ,h)-scaling functions with bidimensional noninduced filters. We start from a special zero-sets of the filters and construct the compact set K , and obtain the proof by using Cohen criterion. Several examples are provided to illustrate the general theory.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.01.018
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