N. S. Kumar

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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.FA2025

Continuous field of Orlicz space on locally compact groupoids and related results

K. N. Sridharan, N. Shravan Kumar

Let $G$ be a locally compact second countable groupoid with a fixed Haar system $λ = {λ^{u}}_{u \in G^{0}}$ and $(Φ, Ψ)$ be a complementary pair of $N$ -functions satisfying $Δ_{2}$ -c…

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…

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

Continuous field of Orlicz space on locally compact groupoids and related results

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

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