11 citations · 70 across the 30 of their papers we have counts for
41 papers
Projection Constants of Polynomial Spaces via Representation Theory
Andreas Defant, Daniel Galicer, Martín Mansilla +3
We develop a representation-theoretic framework for computing projection constants of finite-dimensional subspaces of , where is a compact homogeneous -space. Within t…
Intrinsic Bohnenblust--Hille Inequalities for Local Qudit Systems
Andreas Defant, Daniel Galicer
We study dimension-free Bohnenblust--Hille inequalities for local operators on systems of -level qudits. For the operator space of support at most , uniformly over all tensor…
Support-Sensitive Bohnenblust-Hille Inequalities and Local Invariants on Hamming Schemes
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate local invariants and geometric phenomena for polynomial spaces of low degree on the -ary Hamming scheme , where denotes the cyclic group of order …
Strong Polarization and Entropy
Daniel Galicer, Oscar Ortega-Moreno, Damián Pinasco
We show that for any set of unit vectors in a real Hilbert space and positive numbers satisfying , there exists a unit vector…
Extensions of the Busemann-Petty Problem for Arbitrary Measures
Daniel Galicer, Julián Haddad, Joaquín Singer
The classical Busemann--Petty problem asks whether smaller central hyperplane sections of origin-symmetric convex bodies imply smaller total volume. Zvavitch studied the analogous…
Local constants and Bohr's phenomenon for Banach spaces of analytic polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The primary aim of this work is to develop methods that provide new insights into the relationships between fundamental constants in Banach space theory--specifically, the projecti…