Babhrubahan Bose

activity

20202026

collaborators

8 papers

math.FA2026

The Shift Operator Calculus for Stationary Time Series Analysis

Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan

The article establishes a rigorous shift operator calculus for stationary time series modeling, addressing a certain gap in the literature. It provides proofs of existence and isom…

cs.LG2025

Schauder Bases for $C [0, 1]$ Using ReLU, Softplus and Two Sigmoidal Functions

Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan

We construct four Schauder bases for the space $C [0, 1]$ , one using ReLU functions, another using Softplus functions, and two more using sigmoidal versions of the ReLU and Softplus…

cs.LG2024

On an $L^{2}$ norm for stationary ARMA processes

Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan

We propose an $L^{2}$ norm for stationary Autoregressive Moving Average (ARMA) models. We look at ARMA models within the Hilbert space of the past with present of a true purely linea…

math.FA2023

Geometry of $ℓ_{p}$ -direct sums of normed linear spaces

Babhrubahan Bose

We consider $ℓ_{p}$ -direct sums ( $1 \leq p < \infty$ ) and $c_{0}$ -direct sums of countably many normed spaces and find the duals of these spaces. We characterize the support functional…

math.FA2022

Point-wise Symmetry of Birkhoff-James Orthogonality and Geometry of $B (ℓ_{\infty}^{n}, ℓ_{1}^{m})$

Babhrubahan Bose

We study the relationship between the point-wise symmetry of Birkhoff-James orthogonality and the geometry of the space of operators $B (ℓ_{\infty}^{n}, ℓ_{1}^{m})$ . We show t…

math.FA2022

Birkhoff-James Orthogonality and Its Pointwise Symmetry in Some Function Spaces

Babhrubahan Bose

We study Birkhoff-James orthogonality and its pointwise symmetry in commutative $C^{*}$ algebras, i.e., the space of all continuous functions defined on a locally compact Hausdorff s…

math.FA2022

Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces

Babhrubahan Bose, Saikat Roy, Debmalya Sain

We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely $ℓ_{p},$ for $1 \leq p \leq \infty$ , $p \neq = 2$ , $c$ , $c_{0}$ and $c_{00}$ . Using the characte…

math.FA2020

Geometry of nowhere vanishing, point separating sub-algebras of $H o l (Γ \cup Int (Γ))$ and zeros of Holomorphic functions

Babhrubahan Bose, Saikat Roy, Debmalya Sain

We study $H o l (Γ \cup Int (Γ))$ , the normed algebra of all holomorphic functions defined on some simply connected neighbourhood of a simple closed curve $Γ$ in $\mat…

The Shift Operator Calculus for Stationary Time Series Analysis

Schauder Bases for C[0,1] Using ReLU, Softplus and Two Sigmoidal Functions

On an L2 norm for stationary ARMA processes

Geometry of ℓp​-direct sums of normed linear spaces

Point-wise Symmetry of Birkhoff-James Orthogonality and Geometry of B(ℓ∞n​,ℓ1m​)

Birkhoff-James Orthogonality and Its Pointwise Symmetry in Some Function Spaces

Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces

Geometry of nowhere vanishing, point separating sub-algebras of Hol(Γ∪Int(Γ)) and zeros of Holomorphic functions

Schauder Bases for $C [0, 1]$ Using ReLU, Softplus and Two Sigmoidal Functions

On an $L^{2}$ norm for stationary ARMA processes

Geometry of $ℓ_{p}$ -direct sums of normed linear spaces

Point-wise Symmetry of Birkhoff-James Orthogonality and Geometry of $B (ℓ_{\infty}^{n}, ℓ_{1}^{m})$

Geometry of nowhere vanishing, point separating sub-algebras of $H o l (Γ \cup Int (Γ))$ and zeros of Holomorphic functions