People

Shohei NAKAMURA

Email	srmkn(@math.sci.osaka-u.ac.jp)
Research	Harmonic Analysis
Keywords	Theory of function spaces, Fourier restriction conjecture, Strichartz estimate, geometric inequality
URL

An idea of my research purpose is to understand the “oscillation” phenomena quantitatively via the inequalities. In particular, I am interested in how to capture the oscillation of the Fourier transform on a hypersurface. Related to this problem, I am also interested in geometric inequalities with the sharp constant, like Young’s convolution inequality.