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math.AP2026
Strichartz estimates for quasi-periodic functions on long time intervals: An arithmetic approach
Kotaro Inami
We study long-time Strichartz estimates for the one-dimensional Schrödinger equation with quasi-periodic initial data. For two-frequency data with an algebraic frequency ratio, we…
math.CA2026
Reverse square function estimates for degenerate curves and their applications
Aleksandar Bulj, Kotaro Inami, Shobu Shiraki
Building on the classical work of Córdoba--Fefferman and the recent work of Schippa, we establish reverse square function estimates for functions whose Fourier support is con…