5 papers · 1 filter
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…
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 …
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…
Ryll-Wojtaszczyk Formulas for bihomogeneous polynomials on the sphere
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate projection constants for spaces of bihomogeneous harmonic and bihomogeneous polynomials on the unit sphere in finite-dimensional complex Hilbert spaces. Using averag…
Minimal projections onto spaces of polynomials on real euclidean spheres
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate projection constants within classes of multivariate polynomials over finite-dimensional real Hilbert spaces. Specifically, we consider the projection constant for sp…