Time-frequency analysis on the adeles over the rationals
Journal article, Peer reviewed
Accepted version
Åpne
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http://hdl.handle.net/11250/2592887Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [2533]
- Publikasjoner fra CRIStin - NTNU [38576]
Sammendrag
We show that the construction of Gabor frames in with generators in and with respect to time-frequency shifts from a rectangular lattice is equivalent to the construction of certain Gabor frames for over the adeles over the rationals and the group . Furthermore, we detail the connection between the construction of Gabor frames on the adeles and on with the construction of certain Heisenberg modules.