Irving Segal

Irving Segal
Segal in Nice, 1970
Born(1918-09-13)September 13, 1918
DiedAugust 30, 1998(1998-08-30) (aged 79)
Alma mater
Known forSegal–Bargmann space
Segal–Shale–Weil representation
Gelfand–Naimark–Segal construction
Oscillator representation
Scientific career
Fields
Institutions
Doctoral advisorEinar Hille
Doctoral studentsJohn C. Baez
Robert J. Blattner
Lester Dubins
Henry Dye
Abel Klein
Bertram Kostant
Ray Kunze
Ernest Michael
Edward Nelson
David Shale
Isadore Singer
W. Forrest Stinespring
Walter A. Strauss
Robert R. Kallman

Irving Ezra Segal (1918–1998) was an American mathematician known for work on theoretical quantum mechanics. He shares credit for what is often referred to as the Segal–Shale–Weil representation.[1][2][3] Early in his career Segal became known for his developments in quantum field theory and in functional and harmonic analysis, in particular his innovation of the algebraic axioms known as C*-algebra.

  1. ^ Shale, D. (1962). "Linear symmetries of free boson fields". Trans. Amer. Math. Soc. 103: 149–167. doi:10.1090/s0002-9947-1962-0137504-6.
  2. ^ Weil, A. (1964). "Sur certains groupes d'opérateurs unitaires". Acta Math. 111: 143–211. doi:10.1007/BF02391012.
  3. ^ Kashiwara, M; Vergne, M. (1978). "On the Segal–Shale–Weil representation and harmonic polynomials". Inventiones Mathematicae. 44: 1–47. Bibcode:1978InMat..44....1K. doi:10.1007/BF01389900. S2CID 121545402.