Segal–Bargmann space Segal–Shale–Weil representation Gelfand–Naimark–Segal construction Oscillator representation
Scientific career
Fields
Mathematics
cosmology
Institutions
University of Chicago
Massachusetts Institute of Technology
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.
Irving Ezra Segal (1918–1998) was an American mathematician known for work on theoretical quantum mechanics. He shares credit for what is often referred...
from the Massachusetts Institute of Technology under the supervision of IrvingSegal with the thesis Regularity and Covariance Properties of Quantum Fields...
the 2006 Federal Election IrvingSegal (1918–1998), American mathematician Jack Segal (1918–2005), American composer Jakob Segal (1911–1995), biology professor...
constant has been revived as a simple explanation for dark energy. In 1976 IrvingSegal revived the static universe in his chronometric cosmology. Similar to...
in 1957 with a dissertation on Fourier transformations supervised by IrvingSegal. As well as his positions at UCI and Georgia, he also worked at the Institute...
Ph.D. from the University of Chicago in 1954, under the direction of IrvingSegal, where he wrote a dissertation on representations of Lie groups. After...
his Ph.D. in 1955 from the University of Chicago, where he worked with IrvingSegal. He was a member of the Institute for Advanced Study from 1956 to 1959...
in 1948 and a Ph.D. in Mathematics in 1950 under the supervision of IrvingSegal. Singer held a postdoctoral fellowship as a CLE Moore instructor at the...
unitary representation of the symplectic group, first investigated by IrvingSegal, David Shale, and André Weil. A natural extension of the representation...
published by Elsevier. Founded by Paul Malliavin, Ralph S. Phillips, and IrvingSegal, its editors-in-chief are, as of April 2024, Guido De Philippis, Alexandru...
Azoff, still feared, still fighting". Los Angeles Times. Retrieved April 21, 2024. David Segal: Calling Almost Everyone's Tune Irving Azoff on Twitter...
for further investigations of algebraic quantum mechanics started by IrvingSegal. Von Neumann was the first to establish a rigorous mathematical framework...
(number) representation and the Segal–Bargmann (Fock-space or coherent state) representation (named after IrvingSegal and Valentine Bargmann). All four...
von Neumann algebras. In the 1940s, Israel Gelfand, Mark Naimark and IrvingSegal gave a definition of a kind of operator algebras called C*-algebras that...
aspects of cosmology and supervised many other leading cosmologists IrvingSegal (1918–1998) created chronometric cosmology with alternative explanation...
the Plancherel theorem for unimodular locally compact groups due to IrvingSegal and Forrest Stinespring and an abstract Plancherel theorem for spherical...
Multiplicatively-Convex Topological Algebras under the supervision of IrvingSegal. Michael was a member of the Department of Mathematics at the University...
groups of operators on Hilbert space was written under the supervision of IrvingSegal. Shale became an assistant professor at the University of California...
Gurov (1918–1994) Julian Schwinger (1918–1994) Max Dresden (1918–1997) IrvingSegal (1918–1998) James Hamilton (1918–2000) Abraham Pais (1918–2000) Paul...
was titled Scattering for hyperbolic equations and was supervised by IrvingSegal. Strauss was a postdoctoral researcher for the academic year 1962–1963...
Doctoral advisor Marcel Riesz Doctoral students Evelyn Boyd Granville Cassius Ionescu-Tulcea George Maltese Eugene P. Northrop Thomas L. Saaty IrvingSegal...
Neumann algebras, for example, the non-commutative integration theory of I.E. Segal and J. Dixmier and the modular theory of von Neumann algebras. In other...
mathematician W. T. Martin (MIT mathematics department head from 1946 to 1968), IrvingSegal (a mathematician who did pioneering work in quantum mechanics, primarily...
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