Talks given at NuHAG events

On Stable Refinable Function Vectors with Arbitrary Support

  Sandra Saliani

  given at  strobl07 (17.06.07)
  id:  734
  length:  min
  status:  accepted
  type:  poster
Refinable function vectors with arbitrary support are considered.
In particular necessary conditions for stability are given and a characterization
of the symbol associated with a stable refinable function vector
in terms of the transfer operator is provided:
this is a generalization of Gundy's theorem to the vector case.
The proof adapts the tools provided in Saliani,
On stability and orthogonality of refinable functions,
Appl. Comp. Harm. Anal., 21, (2006), 254-261.
Though complications arise from noncommuting
matrix products, the fundamental ideas are the same.

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