SU\G(𝔸)/K·U

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Almost everywhere convergence of the inverse spherical transform on SL(2, R)

Almost everywhere convergence of the inverse spherical transform on SL(2, R)

We prove the almost everywhere convergence of the inverse spherical transform ofLp bi-K-invariant functions on the groupSL(2,R), 4/3<p≤2. The result appears to be sharp.