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math.FA2019
Optimal extension of the Fourier transform and convolution operator on compact groups
Manoj Kumar, N. Shravan Kumar
Let be a compact group (not necessarily abelian) and let be a Young function satisfying the -condition. We determine the optimal domain and the associated extended ope…
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…
math.FA2019
Convolution structures for an Orlicz space with respect to vector measures on a compact group
Manoj Kumar, N. Shravan Kumar
The aim of this paper is to present some results about the space L^Φ(ν), where νis a vector measure on a compact (not necessarily abelian) group and Φis a Young function. We show t…