Riya Ghosh

activity

20232026

collaborators

6 papers

math.FA2026

Gabor Frame Regions and Non-Frame Obstructions for an even Rational Window

Riya Ghosh

We study the Gabor frame properties of the rational window $g (x) = \frac{x ^{2} - 1}{( x ^{2} + 1 ) ( x ^{2} + 4 ) ( x ^{2} + 9 )},$ whose poles occur in symmetric pairs. We prove that every lattice satisfy…

math.FA2026

Sampling and Density Theorems for the Fractional Opdam-Cherednik Transform

Riya Ghosh, Anirudha Poria

In this paper, we establish sampling and density results for the fractional Opdam-Cherednik transform. Using the Sturm-Liouville structure of Jacobi functions, we construct a Riesz…

math.FA2026

Gabor Frames for a Rational Window with Symmetric Poles

Riya Ghosh

We investigate the Gabor frame problem for a rational window $g (x) = \frac{x}{( x ^{2} + 1 ) ( x ^{2} + 4 )} .$ This window falls outside the classes covered by existing frame set characterizatio…

cs.IT2025

Signal Prediction by Derivative Samples from the Past via Perfect Reconstruction

Sreya T, Riya Ghosh, A. Antony Selvan

This paper investigates signal prediction through the perfect reconstruction of signals from shift-invariant spaces using nonuniform samples of both the signal and its derivatives.…

math.FA2023

Obstructions for Gabor frames of the second order B-spline

Riya Ghosh, A. Antony Selvan

For a window $g \in L^{2} (R)$ , the subset of all lattice parameters $(a, b) \in R_{+}^{2}$ such that $\mathcal{G}(g,a,b)=\{e^{2πib m\cdot}g(\cdot-a k) : k, m\in\mathbb{Z}…

math.FA2023

On Gabor frames generated by B-splines, totally positive functions, and Hermite functions

Riya Ghosh, A. Antony Selvan

The frame set of a window $ϕ \in L^{2} (R)$ is the subset of all lattice parameters $(α, β) \in R_{+}^{2}$ such that $\mathcal{G}(ϕ,α,β)=\{e^{2πiβm\cdot}ϕ(\cdot-αk) : k, m…