3 lives in this collection worked in harmonic analysis, from 1894 to today. Each has a full course on their life and the mathematics and physics they made.
American mathematician who constructed Brownian motion rigorously, created generalized harmonic analysis and the general Tauberian theorem, developed optimal filtering and founded cybernetics.
harmonic analysis, probability theory, potential theory
Founder of Bourbaki who proved the Riemann hypothesis for curves over finite fields and formulated the Weil conjectures.
number theory, algebraic geometry, arithmetic geometry
Physicist turned mathematician who created the harmonic analysis of semisimple Lie groups, from the Harish-Chandra isomorphism to the discrete series and the Plancherel formula.
representation theory, harmonic analysis, lie groups