Sharp Strichartz Estimates via Hermite Polynomials and Hypercontractivity

Explore advanced mathematical concepts in this research lecture that delves into proving sharp inequalities for free-range Schrödinger propagator through pseudo-conformal transformation techniques. Learn about the Lens transform and its application in reformulating complex problems into hypercontractivity statements within Gauss space. Discover solutions for even exponent cases and gain insights into solving general cases using 3-symbol Hamming cube approximations, drawing from the speaker's doctoral research. The presentation offers a deep dive into mathematical analysis, combining elements of quantum mechanics, functional analysis, and advanced mathematical transformations.