On the Support Properties of Scaling Vectors

@article{Massopust1996OnTS,
  title={On the Support Properties of Scaling Vectors},
  author={Peter R. Massopust and David Karl Ruch and Patrick J. Van Fleet},
  journal={Applied and Computational Harmonic Analysis},
  year={1996},
  volume={3},
  pages={229-238}
}
Abstract C. K. Chui and J. Z. Wang [ J. Approx. Theory 71 (1992), 263–304] derived support properties for a scaling function generating a function space V 0 ⊆ L 2 (open face R). Motivated by this work, we consider support properties for scaling vectors. T. N. T. Goodman and S. L. Lee [ Trans. Amer. Math. Soc. 342, No. 1 (Mar. 1994), 307–324] derived necessary and sufficient conditions for the scaling vector {φ 1 , … , φ r }, r ≥1, to form a Riesz basis for V 0 and develop a general theory for… 

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