11 lives in this collection worked in functional analysis, from 1860 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: mathematical physics, ergodic theory, mathematical biology, numerical analysis, probability theory, real analysis, set theory. All fields
Italian analyst who founded the theory of functionals and of Volterra integral equations, created the theory of elastic distortions, and with Lotka founded mathematical population dynamics.
functional analysis, integral equations, mathematical physics
Leader of Göttingen mathematics whose basis theorem, Zahlbericht, axioms of geometry, Hilbert space, Paris problems and proof theory shaped twentieth-century mathematics.
invariant theory, algebraic number theory, foundations of geometry
French analyst who proved the prime number theorem, created the theory of entire functions of finite order, and introduced well-posed problems, Hadamard matrices and the study of chaotic geodesic flows.
complex analysis, analytic number theory, differential geometry
French mathematician who introduced metric spaces and abstract compactness and made lasting contributions to functional analysis, topology and probability.
functional analysis, general topology, probability theory
Hungarian analyst, a founder of functional analysis, known for the Riesz–Fischer and Riesz representation theorems, the L^p spaces, the theory of compact operators and subharmonic functions.
functional analysis, operator theory, real analysis
Founder of modern probability theory, known for stable laws, Lévy processes, martingale limit theorems and the fine structure of Brownian motion.
probability theory, stochastic processes, functional analysis
Founder of modern functional analysis, who introduced complete normed spaces and proved its fundamental theorems, and co-author of the Banach–Tarski paradox.
functional analysis, measure theory, real analysis
Mathematician who founded the Hilbert-space formulation of quantum mechanics, operator algebras and game theory, and defined the stored-program computer.
set theory, mathematical physics, functional analysis
Founder of linear programming and of the Kantorovich formulation of optimal transport, and Nobel laureate in economics for the theory of optimal allocation of resources.
functional analysis, linear programming, optimal transport
Founder of the theory of Banach and C*-algebras and of the representation theory of non-compact groups, whose Moscow seminar shaped generations of mathematicians.
functional analysis, representation theory, operator algebras
Rebuilt algebraic geometry on the theory of schemes, sheaves and topoi, creating the tools behind the proof of the Weil conjectures and much of modern number theory.
algebraic geometry, homological algebra, functional analysis