Gabor Frames of Totally Positive Functions
For which lattice parameters does a totally positive window function generate a Gabor frame? Gröchenig and Stöckler initiated the program in 2013; this paper gives the complete characterization, together with a Kadets-type theorem for shift-invariant spaces.
Exact FrontierDelta
Scope and record
Occurred: Aug 5, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: lean-checked. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.
Canonical aliases: Gabor Frames of Totally Positive Functions · Totally positive Gabor frames
Confidence: Not scored
Registry verification: lean checked · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Jaume de Dios Pont
human · human collaborator
GPT-5.4
model · ai model contributor · OpenAI
Karlheinz Gröchenig
human · human collaborator
Lukas Liehr
human · human collaborator
Irina Shafkulovska
human · human collaborator
Mitchell A. Taylor
human · human collaborator
Lineage and corrections
This event attributed to Jaume de Dios Pont
This event attributed to Karlheinz Gröchenig
This event attributed to Lukas Liehr
This event attributed to Irina Shafkulovska
This event attributed to Mitchell A. Taylor
This event attributed to GPT-5.4