7 papers
Uncertainty Principles for the Short-Time Fourier Transform on the Heisenberg Group
Arvish Dabra, Aparajita Dasgupta, Prerna Gulia
We develop a systematic theory of uncertainty principles for the short-time Fourier transform (STFT) on the Heisenberg group. Building on recent developments in modulation spaces a…
Uncertainty Principles for the Strichartz Fourier transform on the Heisenberg Group
Arvish Dabra, Aparajita Dasgupta, Prerna Gulia
In this article, we establish several fundamental uncertainty principles for the Strichartz Fourier transform on the Heisenberg group, including Benedicks' theorem, the Donoho-Star…
Topological Center of the Double Dual of the Orlicz Figà -Talamanca Herz Algebra
Arvish Dabra, N. Shravan Kumar
Let a locally compact group and be a complementary pair of Young functions. Let be the Orlicz analogue of the classical Figà -Talamanca Herz algebra $A_p(G)…
-Heisenberg--Pauli--Weyl Uncertainty Inequalities on the Laguerre Hypergroup
Arvish Dabra, Aparajita Dasgupta
In this paper, we establish the first -Heisenberg--Pauli--Weyl uncertainty inequalities on the Laguerre hypergroup for the full range . These results extend Xiao's…
Isomorphism Theorems for the Algebras of Pseudofunctions and Pseudomeasures
Arvish Dabra, N. Shravan Kumar
In this article, we study the isomorphism problem for the algebras of Pseudofunctions and Pseudomeasures, denoted by and respectively. More precise…
Amenability and Invariant subspaces of the algebra of pseudomeasures
Arvish Dabra, N. Shravan Kumar
Let be a locally compact group and a complimentary pair of Young functions. In this article, we consider the Banach algebra of -pseudomeasures and the…