5 papers
Spectral Synthesis in the Multidimensional Fourier Algebra and the Varopolous Algebra for Compact Groups
Kanupriya, N. Shravan Kumar
Let be a compact group and let denote the multidimensional Fourier algebra introduced by Todorov and Turowska. In this note, we first define the multidimensional versi…
Paley inequality for the Weyl transform and its applications
Ritika Singhal, N. Shravan Kumar
In this paper, we prove several versions of the classical Paley inequality for the Weyl transform. As an application, we discuss - boundedness of the Weyl multipliers and…
Vector-valued properties of the Weyl transform
Ritika Singhal, N. Shravan Kumar
In this paper, we introduce and study the Weyl transform of functions which are integrable with respect to a vector measure on a phase space associated to a locally compact abelian…
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…
Amenability and Orlicz Figa-Talamanca Herz Algebras
Rattan Lal, N. Shravan Kumar
In this paper, we characterize the amenablity of locally compact groups in terms of the properties of the Orlicz Figa-Talamanca Herz algebras.