Spectral Synthesis on Continuous Images

2024/05/23 by László Székelyhidi, Székelyhidi, László
Engineering · #22D99 #43A45 #FOS: Mathematics #Functional Analysis (math.FA) #Industrial Vision Systems and Defect Detection

paper · pdf · doi:10.48550/arxiv.2405.14261

openalex publication_date 2024/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently we introduced the concept of localisability of ideals in the Fourier algebra of locally compact Abelian groups. It turns out that localisability can be used to characterise synthesisability of varieties. Based on this we show that spectral synthesis holds on continuous images of varieties which have spectral synthesis.

Related

• New Results on Spectral Synthesis
• Spectral Synthesis on Direct Products
• Spectral Synthesis on Varieties
• Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis
• The Principal Ideal Theorem in Spectral Synthesis