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math.CA2026
Pitt Inequalities and Logarithmic-type Uncertainty Principles for Metaplectic Operators
Gianluca Giacchi, Itamar Oliveira, Amy Tierney
In this work, we provide a complete characterisation of Pitt's inequality for metaplectic operators. The symplectic geometry underlying a metaplectic operator distinguishes effecti…
math.CA2026
Rectangles, triangles and Schrödinger waves
Jonathan Bennett, Vjekoslav Kovač, Shohei Nakamura +1
Can a finite set of lattice points determine many rectangles and few isosceles triangles? This turns out to be a surprisingly interesting question in combinatorial geometry that we…
math.CA2026
Knapp-type obstructions in multilinear fractal Fourier extension
Itamar Oliveira, Ana E. de Orellana
For curved, smooth hypersurfaces, the classical Knapp example shows that the Stein--Tomas theorem, which gives linear Fourier restriction estimates, is sharp. Variants of this exam…