2 papers
math.PR2026
Cotlar martingale transforms and related singular integrals
Rodrigo Bañuelos
The "magical" identity discovered by M.~Cotlar in 1955 for the Hilbert transform is established here in the setting of martingale transforms and, in particular, for conformal marti…
math.PR2025
Discrete analogues of second-order Riesz transforms
Rodrigo Bañuelos, Daesung Kim
Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. Th…