"Spectral synthesis in multidimensional Fourier algebras"Wadhawan, KanupriyaIn this poster presentation, we consider G be a locally compact group and let An(G) denote the n-dimensional Fourier algebra. We investigate spectral synthesis properties of the multidimensional Fourier algebra An(G). In particular, we prove versions of the subgroup lemma, injection, and inverse projection theorems for both spectral sets and Ditkin sets. Additionally, we provide a result on the parallel synthesis between An(G) and An+1(G) and finally prove the Malliavin’s theorem. In this poster presentation, I will discuss results of my following paper: Kanupriya and N. Shravan Kumar, ”Spectral Synthesis in Multidimensional Fourier Algebras”, submitted, 2024. |
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