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- Title
QUALITATIVE UNCERTAINTY PRINCIPLE ON CERTAIN LIE GROUPS.
- Authors
CHATTOPADHYAY, ARUP; GIRI, DEBKUMAR; SRIVASTAVA, R. K.
- Abstract
In this article, we study the recent development of the qualitative uncertainty principle on certain Lie groups. In particular, we consider that if the Weyl transform on certain step-two nilpotent Lie groups is of finite rank, then the function has to be zero almost everywhere as long as the nonvanishing set for the function has finite measure. Further, we consider that if the Weyl transform of each Fourier–Wigner piece of a suitable function on the Heisenberg motion group is of finite rank, then the function has to be zero almost everywhere whenever the nonvanishing set for each Fourier–Wigner piece has finite measure.
- Subjects
LIE groups; NILPOTENT Lie groups; FINITE groups; SET functions; HEISENBERG uncertainty principle
- Publication
Journal of the Australian Mathematical Society, 2024, Vol 116, Issue 3, p289
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788723000150