Geodesic
A time domain characterization of weak Gabor dual frames on the half real line
Filomat, Tome 37 (2023) no. 7, p. 2237

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DOI

Due to R + not being a group under addition, L 2 (R +) admits no traditional Gabor system as L 2 (R). Observing that R + is a group under a new addition " ⊕ " , we in this paper introduce and characterize a class of weak Gabor dual frames in L 2 (R +) based on this new group structure. Some examples are also provided.
DOI : 10.2298/FIL2307237Z
Classification : 42C40, 42C15
Keywords: Frame, Gabor frame, Gabor dual, Weak Gabor dual, Half real line 
Yan Zhang; Yun-Zhang Li. A time domain characterization of weak Gabor dual frames on the half real line. Filomat, Tome 37 (2023) no. 7, p. 2237 . doi: 10.2298/FIL2307237Z
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     author = {Yan Zhang and Yun-Zhang Li},
     title = {A time domain characterization of weak {Gabor} dual frames on the half real line},
     journal = {Filomat},
     pages = {2237 },
     year = {2023},
     volume = {37},
     number = {7},
     doi = {10.2298/FIL2307237Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307237Z/}
}
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