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5 papers
Pego theorem on compact groups
Manoj Kumar
The Pego theorem characterizes the precompact subsets of the square-integrable functions on via the Fourier transform. We prove the analogue of the Pego theorem on c…
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…
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…
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…
The Signs in Elliptic Nets
Amir Akbary, Manoj Kumar, Soroosh Yazdani
We give a generalization of a theorem of Silverman and Stephens regarding the signs in an elliptic divisibility sequence to the case of an elliptic net. We also describe applicatio…