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A local Levinson theorem for compact symmetric spaces

Published 10 Feb 2019 in math.CA | (1902.03583v1)

Abstract: 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 pointwise decay of their Fourier coefficients [13]. We prove certain analogue of this result on compact symmetric spaces.

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