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A Moiré pattern on symmetric spaces of the noncompact type

Afgoustidis, Alexandre (2018), A Moiré pattern on symmetric spaces of the noncompact type, Proceedings of the American Mathematical Society, 146, 9, p. 3747-3758. 10.1090/proc/14125

Type
Article accepté pour publication ou publié
Date
2018
Journal name
Proceedings of the American Mathematical Society
Volume
146
Number
9
Publisher
American Mathematical Society
Pages
3747-3758
Publication identifier
Metadata
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Author(s)
Afgoustidis, Alexandre
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We prove that if X is a symmetric space of the noncompact type, just as adding Helgason waves which propagate in all directions will yield an elementary spherical function for $ X$, a Helgason wave can be produced by adding elementary spherical functions whose centers describe a horocycle in X.
Subjects / Keywords
Moiré pattern; noncompact type