Karishman B. Solanki

collaborators

5 papers

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.FA2025

On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces

Divyang G. Bhimani, Karishman B. Solanki

We consider the space (weighted Fourier algebra) of Banach algebra valued functions $A^q_ω(Γ,\cX),$ which consists of all Fourier transforms of functions in $L^q_ω(G,\cX)$. Here $ω…

math.AP2025

Reconstruction of a vector field and a symmetric $2$ -tensor field from the moment ray transforms in $R^{2}$

Rahul Bhardwaj, Karishman B. Solanki

We present a technique for recovering a vector field and a symmetric $2$ -tensor field, both real-valued and compactly supported in some strictly convex bounded domain with smooth b…

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 $A_{p ω}$ …

Weighted inversion of vector valued Dirichlet series

On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces

Reconstruction of a vector field and a symmetric 2-tensor field from the moment ray transforms in R2

Vector valued Beurling algebra analogues of Wiener's Theorem

Symmetry and inverse-closedness of some p-Beurling algebras

Reconstruction of a vector field and a symmetric $2$ -tensor field from the moment ray transforms in $R^{2}$

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