Classifying Tight Weyl-Heisenberg Frames

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dc.creatorCasazza, Peter G.
dc.creatorChristensen, Ole
dc.date1998-12-30
dc.date.accessioned2026-07-07T05:27:24Z
dc.date.available2026-07-07T05:27:24Z
dc.descriptionA Weyl-Heisenberg frame for L^2(R) is a frame consisting of translates and modulates of a fixed function. In this paper we give necessary and sufficient conditions for this family to form a tight WH-frame. This allows us to write down explicitly all functions g for which all translates and modulates of g form an orthonormal basis for L^2(R). There are a number of consequences of this classification, including a simple direct classification of the alternate dual frames to a WH-frame (A result originally due to Janssen).
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/9812159
dc.identifierhttp://arxiv.org/abs/math/9812159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77905
dc.subjectFunctional Analysis
dc.subject46B07; 46C05
dc.titleClassifying Tight Weyl-Heisenberg Frames
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