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Annihilator methods for spectral synthesis on locally compact Abelian groups

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Spectral analysis and spectral synthesis study translation invariant linear function spaces on Abelian groups. Basic function classes for this study are the exponential monomials. These function classes have been investigated on discrete Abelian groups successfully using the annihilator method. In this paper we extend this technique to non-discrete locally compact Abelian groups.

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Correspondence to László Székelyhidi.

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Communicated by K. Gröchenig.

The research was partly supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. K111651.

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Székelyhidi, L. Annihilator methods for spectral synthesis on locally compact Abelian groups. Monatsh Math 180, 357–371 (2016).

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