A family of nonseparable scaling functions and compactly supported tight framelets

@article{Antoln2013AFO,
  title={A family of nonseparable scaling functions and compactly supported tight framelets},
  author={A. S. Antol{\'i}n and R. A. Zalik},
  journal={Journal of Mathematical Analysis and Applications},
  year={2013},
  volume={404},
  pages={201-211}
}
Abstract Given integers b and d , with d > 1 and | b | > 1 , we construct even nonseparable compactly supported refinable functions with dilation factor b that generate multiresolution analyses on L 2 ( R d ) . These refinable functions are nonseparable, in the sense that they cannot be expressed as the product of two functions defined on lower dimensions. We use these scaling functions and a slight generalization of a theorem of Lai and Stockler to construct smooth compactly supported tight… Expand
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