YANG Shou-zhi. Poly-Scale Refinable Function and Their Properties[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1477-1485.
 Citation: YANG Shou-zhi. Poly-Scale Refinable Function and Their Properties[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1477-1485.

# Poly-Scale Refinable Function and Their Properties

• Rev Recd Date: 2006-08-18
• Publish Date: 2006-12-15
• Poly-scale refinable function with dilation factor a was introduced. The existence of solutions of poly-scale refinable equation was investigated. Specially, necessary and sufficient conditions for the orthonormality of solution function phi of a poly-scale refinable equation with integer dilation factor a were established. Some properties of poly-scale refinable function were discussed. Several examples illustrating how to use the method to construct poly-scale refinable function were given.
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