Richard Arzelà

Richard Arzelà was a mathematician known for his contributions to the field of analysis, particularly in understanding the behavior of functions. He is best known for Arzelà–Ascoli theorem, which provides criteria for when a sequence of functions has a uniformly convergent subsequence. This theorem plays a crucial role in modern mathematics, especially in studying differential equations and functional analysis. His work helps mathematicians understand how complex functions behave and change, offering tools to analyze convergence and continuity in various mathematical contexts.