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A Moiré pattern on symmetric spaces of the noncompact type

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Date
2018
Alternative titles
Un effet de moiré sur les espaces symétriques de type non-compact
Dewey
Analyse
Sujet
Moiré pattern; noncompact type
Journal issue
Proceedings of the American Mathematical Society
Volume
146
Number
9
Publication date
2018
Article pages
3747-3758
Publisher
American Mathematical Society
DOI
http://dx.doi.org/10.1090/proc/14125
URI
https://basepub.dauphine.fr/handle/123456789/20695
Collections
  • CEREMADE : Publications
Metadata
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Author
Afgoustidis, Alexandre
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
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.

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