Journal of Lie Theory

no. 3
A Local Levinson Theorem for Compact Symmetric Spaces
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 787-800
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.
DOI: 10.5802/jolt.1078
Classification: 43A85, 53C35, 33C55
Keywords: Riemannian symmetric space, Fourier transform, Levinson's theorem 
@article{JOLT_2019_29_3_a7,
     author = {M. Bhowmik},
     title = {A {Local} {Levinson} {Theorem} for {Compact} {Symmetric} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {787--800},
     year = {2019},
     volume = {29},
     number = {3},
     doi = {10.5802/jolt.1078},
     zbl = {1442.43006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1078/}
}
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M. Bhowmik. A Local Levinson Theorem for Compact Symmetric Spaces. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 787-800. doi: 10.5802/jolt.1078

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