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5 papers

math.FA2026

The HRT Conjecture for Symmetric Configurations and Real-Valued Functions

Shuang Guan, Kasso A. Okoudjou

The paper proves the Heil‑Ramanathan‑Topiwala (HRT) conjecture for an infinite family of symmetric time‑frequency configurations and shows it holds for any four distinct points whe…

math.GM2026

On the structure of the Gram matrix for Gabor systems generated by B-splines

Martin Buck, Christina Frederick, Kasso Okoudjou +1

We consider the Gabor system generated by a continuous, compactly supported function over the time-frequency lattice generated by…

math.FA2025

On the Injectivity of STFT Phase Retrieval with super-exponential decaying window function

Shuang Guan, Kasso A. Okoudjou

We investigate the uniqueness of short-time Fourier transform phase retrieval problems in . In particular, for underlying window functions whose Fourier transform…

math.CO2025

Abelian and Dihedral equiangular tight frames of redundancy

Radel Ben Av, Xuemei Chen, Assaf Goldberger +1

This paper studies group frames (-frames) where the unitary group representation can be projective. When the group is abelian, for most combinations , we show that $ETF(N,…

math.FA2025

Orthogonal Polynomials on Bubble-Diamond Fractals

Elena Axinn, Calvin Osborne, Kasso A. Okoudjou +2

We develop a theory of polynomials and, in particular, an analog of the theory of Legendre orthogonal polynomials on the bubble-diamond fractals, a class of fractal sets that can b…