3 papers
math.FA2026
Nonexistence of Approximately Dual Frames via Weighted Composition Operators
Trevor Camper, Dongwei Chen, Shuang Guan
Reconstruction from the coefficients of a frame often requires a dual frame, and the canonical dual is obtained by inverting the frame operator, which is rarely available in a clos…
math.FA2026
The HRT Conjecture for Symmetric Configurations and Real-Valued Functions
Shuang Guan, Kasso A. Okoudjou
The Heil-Ramanathan-Topiwala (HRT) conjecture asserts that every finite collection of distinct time-frequency shifts of a nonzero square-integrable function is linearly independent…
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…