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Remarks on spectra and  multipliers for convolution operators |
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| Authors: | Wlodzimierz Bak Andrzej Hulanicki |
| Institution: | Instytut Matematyczny, Uniwersytet Wroclawski, Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland ; Instytut Matematyczny, Uniwersytet Wroclawski, Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland |
| Abstract: | We prove that the spectrum of a convolution operator on a locally compact group  by a self-adjoint  -function  is the same on  and  and consequently on all  spaces,  if and only if a Beurling algebra contains non-analytic functions on  operating on  into  . |
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