Spectral analysis and synthesis on varieties

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• 作者：Lá ; szló ; Szé ; kelyhidi ^{lszekelyhidi@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Bettina Wilkens ^{wilkensb@mopipi.ub.bw" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Spectral synthesis ; Noether ring ; Annihilator
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：433
• 期：2
• 页码：1329-1332
• 全文大小：231 K

文摘

In this paper we prove that spectral synthesis holds for a variety on an Abelian group if spectral analysis holds on it and the residue ring of the annihilator of the variety is a Noether ring. This extends the fundamental result of M. Lefranc about spectral synthesis on finitely generated Abelian groups.