3 papers
math.FA2025
Approximate identity and approximation properties of multidimensional Fourier algebras
Kanupriya, N. Shravan Kumar
For a locally compact group , let denote the multidimensional Fourier algebra given by This work explores the approximation identity and opera…
math.FA2025
Spectral synthesis in multidimensional Fourier algebras
Kanupriya, N. Shravan Kumar
Let be a locally compact group and let denote the -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…