Geodesic
A Local Levinson Theorem for Compact Symmetric Spaces
Journal of Lie theory, Tome 29 (2019) no. 3, pp. 787-8
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A classical result due to Levinson characterizes the existence of non-zero functions defined on a circle vanishing on an open subset of the circle in terms of the point-wise decay of their Fourier coefficients [Proc. London Math. Soc. (2), 41 (1936) 393--407]. We prove an analogue of this result on compact symmetric spaces.
Classification : 43A85, 53C35, 33C55
Mots-clés : Riemannian symmetric space, Fourier transform, Levinson's theorem 
@article{JLT_2019_29_3_JLT_2019_29_3_a7,
     author = {M. Bhowmik},
     title = {A {Local} {Levinson} {Theorem} for {Compact} {Symmetric} {Spaces}},
     journal = {Journal of Lie theory},
     pages = {787--8},
     year = {2019},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a7/}
}
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M. Bhowmik. A Local Levinson Theorem for Compact Symmetric Spaces. Journal of Lie theory, Tome 29 (2019) no. 3, pp. 787-8. http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a7/