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A non-spectral representation of shift semigroups. (English) Zbl 0801.47027

Summary: A non-spectral representation of a continuous shift over \(L^ 2 (0,\infty)\) is presented, using an interplay between the semigroup, its associated discrete shift operator and the shifted orthonormal basis generated by the latter.

MSC:

47D06 One-parameter semigroups and linear evolution equations
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References:

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