Multiwavelets Associated with Countable Groups of Unitary Operators in Hilbert Spaces

نویسندگان

  • DAVID R. LARSON
  • WAI-SHING TANG
  • ERIC WEBER
چکیده

Let G be a countable group of unitary operators on a complex separable Hilbert space H. We give a characterization of biorthogonality among Riesz multiwavelets in terms of certain invariant properties of their associated core spaces. A large family of non-biorthogonal Riesz multiwavelets is exhibited. We also discuss some results on linear perturbation of orthonormal multiwavelets.

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تاریخ انتشار 2005