Geodesic
A Local Levinson Theorem for Compact Symmetric Spaces
Mithun Bhowmik1
1Department of Mathematics, Indian Institute of Technology, Bombay, India
Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 787-800

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Mithun Bhowmik  1

1 Department of Mathematics, Indian Institute of Technology, Bombay, India 
Mithun Bhowmik. A Local Levinson Theorem for Compact Symmetric Spaces. Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 787-800. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a7/
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     title = {A {Local} {Levinson} {Theorem} for {Compact} {Symmetric} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {787--800},
     year = {2019},
     volume = {29},
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