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Fourier analysis on the Heisenberg group

We obtain a usable characterization of the (group) Fourier transform of 𝒮(H(n)) (Schwartz space on the Heisenberg group). The characterization involves writing elements of [Formula: see text] as asymptotic series in Planck's constant. In the process, we derive a new “discrete” version of spherical h...

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Bibliografiska uppgifter
I publikationen:Proc Natl Acad Sci U S A
Huvudupphov: Geller, Daryl
Materialtyp: Artigo
Språk:Inglês
Utgiven: National Academy of Sciences 1977
Ämnen:
Länkar:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC430743/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16578749/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.74.4.1328
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