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QUALITATIVE UNCERTAINTY PRINCIPLE ON CERTAIN LIE GROUPS.

Authors :
CHATTOPADHYAY, ARUP
GIRI, DEBKUMAR
SRIVASTAVA, R. K.
Source :
Journal of the Australian Mathematical Society. Jun2024, Vol. 116 Issue 3, p289-307. 19p.
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14467887
Volume :
116
Issue :
3
Database :
Academic Search Index
Journal :
Journal of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
177229899
Full Text :
https://doi.org/10.1017/S1446788723000150