Wandering vector multipliers for unitary groups (Q2716142)

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scientific article; zbMATH DE number 1602198
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Wandering vector multipliers for unitary groups
scientific article; zbMATH DE number 1602198

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    Wandering vector multipliers for unitary groups (English)
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    6 June 2001
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    unitary systems
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    wandering vectors
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    von Neumann algebra
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    wavelet system
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    A wandering vector multiplier is a unitary operator which maps the set of wandering vectors for a unitary system into itself. The authors prove that for many discrete unitary groups, the set of wandering vector multipliers is itself a group. Applications to wavelet systems are also presented.
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