2 papers
math.AP2026
Nonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approach
Matthew D. Blair
Previous works of the author and Sogge [BS17], [BS18] showed the significance of microlocal Kakeya-Nikodym averages in improving bounds on (approximate) eigenfunctions of the…
math.AP2024
Improved spectral projection estimates
Matthew D. Blair, Xiaoqi Huang, Christopher D. Sogge
We obtain new improved spectral projection estimates on manifolds of non-positive curvature, including sharp ones for relatively large spectral windows for general tori. Our result…