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Irving Segal | |
|---|---|
 Segal in Nice, 1970 | |
| Born | September 13, 1918 |
| Died | August 30, 1998 (aged 79) Lexington, Massachusetts, U.S. |
| Alma mater | |
| Known for | Segal–Bargmann space Segal–Shale–Weil representation Gelfand–Naimark–Segal construction Oscillator representation |
| Scientific career | |
| Fields | |
| Institutions | |
| Doctoral advisor | Einar Hille |
| Doctoral students | John 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.
- ^ Shale, D. (1962). "Linear symmetries of free boson fields". Trans. Amer. Math. Soc. 103: 149–167. doi:10.1090/s0002-9947-1962-0137504-6.
- ^ Weil, A. (1964). "Sur certains groupes d'opérateurs unitaires". Acta Math. 111: 143–211. doi:10.1007/BF02391012.
- ^ 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.