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An uncertainty principle on homogeneous trees
Author(s):
Francesca
Astengo
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3155-3161.
MSC (2000):
Primary 43A85;
Secondary 22E35
Posted:
April 1, 2003
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Abstract:
Let  be a homogeneous tree of degree  . We prove an uncertainty principle in this setting regarding ``exponentially decreasing'' functions on trees whose Fourier transforms have a ``deep zero''.
References:
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 versions of Hardy's theorem on semisimple groups, Proc. Amer. Math. Soc. 130 (2002), 1859-1866. MR 2003a:22009 - 9.
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Additional Information:
Francesca
Astengo
Affiliation:
Dipartimento di Matematica, Università di Genova, 16146 Genova, Italia
Email:
astengo@dima.unige.it
DOI:
10.1090/S0002-9939-03-07048-5
PII:
S 0002-9939(03)07048-5
Received by editor(s):
May 6, 2002
Posted:
April 1, 2003
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2003,
American Mathematical Society
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