N. S. Kumar

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math.FA2025

Approximate identity and approximation properties of multidimensional Fourier algebras

Kanupriya, N. Shravan Kumar

For a locally compact group $G$ , let $A^{n} (G)$ denote the multidimensional Fourier algebra given by $\otimes_{n}^{e h} A (G) .$ This work explores the approximation identity and opera…

math.FA2025

Spectral synthesis in multidimensional Fourier algebras

Kanupriya, N. Shravan Kumar

Let $G$ be a locally compact group and let $A^{n} (G)$ denote the $n$ -dimensional Fourier algebra, introduced by Todorov and Turowska. We investigate spectral synthesis properties of…

math.FA2019

Fourier analysis associated to a vector measure on a compact group

Manoj Kumar, N. Shravan Kumar

In this paper, we introduce and study the Fourier transform of functions which are integrable with respect to a vector measure on a compact group (not necessarily abelian). We also…