
Journal of Lie Theory 29 (2019), No. 3, 787800 Copyright Heldermann Verlag 2019 A Local Levinson Theorem for Compact Symmetric Spaces Mithun Bhowmik Department of Mathematics, Indian Institute of Technology, Bombay, India mithunbhowmik123@gmail.com A classical result due to Levinson characterizes the existence of nonzero functions defined on a circle vanishing on an open subset of the circle in terms of the pointwise decay of their Fourier coefficients [Proc. London Math. Soc. (2), 41 (1936) 393407]. We prove an analogue of this result on compact symmetric spaces. Keywords: Riemannian symmetric space, Fourier transform, Levinson's theorem. MSC: 43A85, 53C35, 33C55 [ Fulltextpdf (138 KB)] for subscribers only. 