P. Dabhi

activity

20222026

collaborators

4 papers

math.FA2026

On the BSE and BED properties of the Beurling algebra $L^{1} (G, ω)$

Jekwin J. Dabhi, Prakash A. Dabhi

Let $G$ be a locally compact abelian group, and let $ω : G \to [1, \infty)$ be a weight, i.e., $ω$ is measurable, $ω$ is locally bounded and $ω (s + t) \leq ω (s) ω (t)$ for all $s, t \in G$ …

math.FA2025

Weighted inversion of vector valued Dirichlet series

Prakash A. Dabhi, Karishman B. Solanki

Let $Λ \subset [0, \infty)$ be an additive semigroup with $0 \in Λ$ , $ω$ be an admissible weight on $Λ$ , $A$ be a unital Banach algebra, and let $f (s) = \sum_{λ \in Λ} f_{λ} e^{- λ s}$ …

math.FA2022

Vector valued Beurling algebra analogues of Wiener's Theorem

Prakash A. Dabhi, Karishman B. Solanki

Let $0 < p \leq 1$ , $ω$ be a weight on $Z$ , and let $A$ be a unital Banach algebra. If $f$ is a continuous function from the unit circle $T$ to $A$ s…

math.FA2022

Symmetry and inverse-closedness of some $p$ -Beurling algebras

Prakash A. Dabhi, Karishman B. Solanki

Let $(G, d)$ be a metric space with the counting measure $μ$ satisfying some growth conditions. Let $ω (x, y) = (1 + d (x, y))^{δ}$ for some $0 < δ \leq 1$ . Let $0 < p \leq 1$ . Let $A_{p ω}$ …

On the BSE and BED properties of the Beurling algebra L1(G,ω)

Weighted inversion of vector valued Dirichlet series

Vector valued Beurling algebra analogues of Wiener's Theorem

Symmetry and inverse-closedness of some p-Beurling algebras

On the BSE and BED properties of the Beurling algebra $L^{1} (G, ω)$

Symmetry and inverse-closedness of some $p$ -Beurling algebras