2 papers
math.CV2026
Law of iterated logarithm for inner functions
Poornendu Kumar, Raghavendra Tripathi
In a recent work [\emph{Adv. Math.} 401 (2022), Paper No. 108318], a central limit theorem was established for the linear combinations of the iterates of a non-rotational inner fun…
math.FA2024
Douglas-Rudin Approximation theorem for operator-valued functions on the unit ball of
Poornendu Kumar, Shubham Rastogi, Raghavendra Tripathi
Douglas and Rudin proved that any unimodular function on the unit circle $\T$ can be uniformly approximated by quotients of inner functions. We extend this result to the operator-v…