Structural results for quaternionic Gabor frames

We study quaternionic Gabor frames based on the two-sided quaternionic windowed Fourier transform. Since classical Hilbert space based methods do not work in this case we introduce appropriated versions of translation and modulation operators. We prove Janssen’s and Walnut’s representations, as well...

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Bibliographic Details
Main Author: Cerejeiras, Paula (author)
Other Authors: Hartmann, Stefan (author), Orelma, Heikki (author)
Format: article
Language:eng
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/10773/24151
Country:Portugal
Oai:oai:ria.ua.pt:10773/24151