Riya Ghosh

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20232026

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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…