On differentiation of integrals\cr in the infinite-dimensional torus
Dariusz Kosz
Abstract
We answer the recently posed questions regarding the problem of differentiation of integrals for the Rubio de Francia basis $\mathcal R$ in the infinite torus $\mathbb T^\omega $. In particular, we prove that $\mathcal R$ does not differentiate $L^\infty
Topics & Concepts
MathematicsTorusOmegaPure mathematicsCombinatoricsGeometryPhysicsQuantum mechanicsAdvanced Differential Equations and Dynamical SystemsNonlinear Waves and SolitonsPolynomial and algebraic computation