Dimension of divergence sets of oscillatory integrals with concave phase

Chu-hee Cho, Shobu Shiraki

We study the Hausdorff dimension of the sets on which the pointwise convergence of the solutions to the fractional Schrödinger equation $e^{it(-\hat{I}”{)}^{\frac{m}{2}}}f$ fails when $m\in(0,…