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arxiv: 1902.03583 · v1 · pith:4HST45TTnew · submitted 2019-02-10 · 🧮 math.CA

A local Levinson theorem for compact symmetric spaces

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

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