Arvish Dabra

activity

20242026

collaborators

9 papers

math.FA2026

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…

math.FA2025

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…

math.FA2025

$L^{p}$ -Heisenberg--Pauli--Weyl Uncertainty Inequalities on the Laguerre Hypergroup

Arvish Dabra, Aparajita Dasgupta

In this paper, we establish the first $L^{p}$ -Heisenberg--Pauli--Weyl uncertainty inequalities on the Laguerre hypergroup for the full range $1 \leq p \leq 2$ . These results extend Xiao's…

math.FA2025

Isomorphism Theorems for the Algebras of $Φ -$ Pseudofunctions and $Φ -$ Pseudomeasures

Arvish Dabra, N. Shravan Kumar

In this article, we study the isomorphism problem for the algebras of $Φ -$ Pseudofunctions and $Φ -$ Pseudomeasures, denoted by $P F_{Φ} (G)$ and $P M_{Φ} (G),$ respectively. More precisely,…

math.FA2025

Topological Center of the Double Dual of the Orlicz Figà-Talamanca Herz Algebra

Arvish Dabra, N. Shravan Kumar

Let $G$ a locally compact group and $(Φ, Ψ)$ be a complementary pair of Young functions. Let $A_{Φ} (G)$ be the Orlicz analogue of the classical Figà-Talamanca Herz algebra $A_{p} (G) .$ I…

math.FA2025

Amenability and Invariant subspaces of the algebra of pseudomeasures

Arvish Dabra, N. Shravan Kumar

Let $G$ be a locally compact group and $(Φ, Ψ)$ a complimentary pair of Young functions. In this article, we consider the Banach algebra of $Ψ$ -pseudomeasures $P M_{Ψ} (G)$ and the Orli…

math.FA2024

Restriction theorems for the $p$ -analog of the Fourier-Stieltjes algebra

Arvish Dabra, N. Shravan Kumar

For a locally compact group $G$ and $1 < p < \infty,$ let $B_{p} (G)$ denote the $p$ -analog of the Fourier-Stieltjes algebra $B (G) (or B_{2} (G))$ . Let $r: B_p(G) \to B_p(H)…

math.FA2024

Ideals in the dual of introverted subspaces of $Ψ$ -pseudomeasures

Arvish Dabra, Rattan Lal, N. Shravan Kumar

Let $G$ be a locally compact group and $(Φ, Ψ)$ a complementary pair of Young functions satisfying the $Δ_{2}$ -condition. Let $A_{Φ} (G)$ be the Orlicz analogue of the Figà-Talamanca Her…

math.FA2024

Arens regularity of the Orlicz Figà-Talamanca Herz Algebra

Arvish Dabra, N. Shravan Kumar

Let G be a locally compact group and let $A_{Φ} (G)$ be the Orlicz-version of the Figà-Talamanca Herz algebra of G associated with a Young function $Φ.$ We show that if $A_{Φ} (G)$ is Ar…

Uncertainty Principles for the Short-Time Fourier Transform on the Heisenberg Group

Uncertainty Principles for the Strichartz Fourier transform on the Heisenberg Group

Lp-Heisenberg--Pauli--Weyl Uncertainty Inequalities on the Laguerre Hypergroup

Isomorphism Theorems for the Algebras of Φ−Pseudofunctions and Φ−Pseudomeasures

Topological Center of the Double Dual of the Orlicz Figà-Talamanca Herz Algebra

Amenability and Invariant subspaces of the algebra of pseudomeasures

Restriction theorems for the p-analog of the Fourier-Stieltjes algebra

Ideals in the dual of introverted subspaces of Ψ-pseudomeasures

Arens regularity of the Orlicz Figà-Talamanca Herz Algebra

$L^{p}$ -Heisenberg--Pauli--Weyl Uncertainty Inequalities on the Laguerre Hypergroup

Isomorphism Theorems for the Algebras of $Φ -$ Pseudofunctions and $Φ -$ Pseudomeasures

Restriction theorems for the $p$ -analog of the Fourier-Stieltjes algebra

Ideals in the dual of introverted subspaces of $Ψ$ -pseudomeasures