Segal, Irving Ezra
Overview
Works:  62 works in 294 publications in 4 languages and 3,773 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Other 
Classifications:  QA3, 517.7 
Publication Timeline
.
Most widely held works about
Irving Ezra Segal
 Irving Ezra Segal, 19181998 by Jeff Nicholl( Book )
 Special issue dedicated to the memory of I.E. Segal( Book )
Most widely held works by
Irving Ezra Segal
Integrals and operators by
Irving Ezra Segal(
Book
)
49 editions published between 1968 and 1990 in 3 languages and held by 1,034 WorldCat member libraries worldwide
TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integrationtheoretic ideas
49 editions published between 1968 and 1990 in 3 languages and held by 1,034 WorldCat member libraries worldwide
TO THE SECOND EDITION Since publication of the First Edition several excellent treatments of advanced topics in analysis have appeared. However, the concentration and penetration of these treatises naturally require much in the way of technical preliminaries and new terminology and notation. There consequently remains a need for an introduction to some of these topics which would mesh with the material of the First Edition. Such an introduction could serve to exemplify the material further, while using it to shorten and simplify its presentation. It seemed particularly important as well as practical to treat briefly but cogently some of the central parts of operator algebra and higher operator theory, as these are presently represented in book form only with a degree of specialization rather beyond the immediate needs or interests of many readers. Semigroup and perturbation theory provide connections with the theory of partial differential equations. C*algebras are important in har monic analysis and the mathematical foundations of quantum mechanics. W*algebras (or von Neumann rings) provide an approach to the theory of multiplicity of the spectrum and some simple but key elements of the gram mar of analysis, of use in group representation theory and elsewhere. The v vi Preface to the Second Edition theory of the trace for operators on Hilbert space is both important in itself and a natural extension of earlier integrationtheoretic ideas
Proceedings by Conference on the Mathematical Theory of Elementary Particles(
Book
)
19 editions published between 1963 and 1966 in English and held by 643 WorldCat member libraries worldwide
19 editions published between 1963 and 1966 in English and held by 643 WorldCat member libraries worldwide
Quantization, nonlinear partial differential equations, and operator algebra : 1994 John von Neumann Symposium on Quantization
and Nonlinear Wave Equations June 711 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts by John Von Neumann Symposium on Quantization and Nonlinear Wave Equations(
Book
)
11 editions published in 1996 in English and held by 289 WorldCat member libraries worldwide
11 editions published in 1996 in English and held by 289 WorldCat member libraries worldwide
Mathematical problems of relativistic physics by
Irving Ezra Segal(
Book
)
24 editions published between 1963 and 1986 in 3 languages and held by 276 WorldCat member libraries worldwide
24 editions published between 1963 and 1986 in 3 languages and held by 276 WorldCat member libraries worldwide
Introduction to algebraic and constructive quantum field theory by
John C Baez(
Book
)
12 editions published between 1991 and 2014 in English and held by 266 WorldCat member libraries worldwide
12 editions published between 1991 and 2014 in English and held by 266 WorldCat member libraries worldwide
Studies in applied mathematics : a volume dedicated to Irving Segal by
Victor Guillemin(
Book
)
10 editions published in 1983 in 3 languages and held by 261 WorldCat member libraries worldwide
10 editions published in 1983 in 3 languages and held by 261 WorldCat member libraries worldwide
Decompositions of operator algebras by
Irving Ezra Segal(
Book
)
43 editions published between 1950 and 1989 in 3 languages and held by 193 WorldCat member libraries worldwide
43 editions published between 1950 and 1989 in 3 languages and held by 193 WorldCat member libraries worldwide
A mathematical approach to elementary particles and their fields. Notes on Mathematics 371 A, summer 1955 by
Irving Ezra Segal(
Book
)
7 editions published in 1955 in English and held by 71 WorldCat member libraries worldwide
7 editions published in 1955 in English and held by 71 WorldCat member libraries worldwide
Proceedings of a Conference on the theory and applications of analysis in function space held at Endicott House in Dedham,
Massachusetts, June 913, 1963 by
William Ted Martin(
Book
)
15 editions published in 1964 in English and held by 60 WorldCat member libraries worldwide
15 editions published in 1964 in English and held by 60 WorldCat member libraries worldwide
Proceedings of the Conference on the mathematical theory of elementary particles by
Conference on the Mathematical Theory of Elementary Particles(
Book
)
16 editions published in 1966 in English and Undetermined and held by 57 WorldCat member libraries worldwide
16 editions published in 1966 in English and Undetermined and held by 57 WorldCat member libraries worldwide
Mathematical problems of relativistic physics. With an appendix on Group representations in Hilbert space by
Irving Ezra Segal(
Book
)
2 editions published between 1963 and 1967 in English and held by 44 WorldCat member libraries worldwide
2 editions published between 1963 and 1967 in English and held by 44 WorldCat member libraries worldwide
Foundations of the theory of dynamical systems of infinitely many degrees of freedom by
Irving Ezra Segal(
Book
)
in English and held by 36 WorldCat member libraries worldwide
in English and held by 36 WorldCat member libraries worldwide
Lectures in modern analysis and applications by
C. T Taam(
)
3 editions published in 1970 in English and held by 31 WorldCat member libraries worldwide
A Lecture Series in Modern Analysis and Applications was sponsored by the Consortium of American, Catholic, Georgetown, George Washington and Howard Universities, of the District of Columbia, the University of Maryland, College Park, and the Air Force Office of Scientific Research, in the greater Washington, D.C. area, during the period Fall, 1967 through Spring 1969. The series consisted of 8 sessions of 3 lectures each. Each session was devoted to an active basic area of contemporary analysis which is important in application or shows potential applications. Each lecture presented a survey and a critical review of certain aspects of that area, with emphasis on new results, open problems and applications. This volume, the third and final one of the series, contains five lectures from the seventh and eighth sessions, which were devoted to modern harmonic analysis and applications, and integration in function spaces and applications. The lectures concern the LittlewoodPaley Theory, the Theory of Automorphic Forms, Quantization and Unitary Representations, Random Linear Functionals, and the Absolute Continuity of Stochastic Processes. (Author)
3 editions published in 1970 in English and held by 31 WorldCat member libraries worldwide
A Lecture Series in Modern Analysis and Applications was sponsored by the Consortium of American, Catholic, Georgetown, George Washington and Howard Universities, of the District of Columbia, the University of Maryland, College Park, and the Air Force Office of Scientific Research, in the greater Washington, D.C. area, during the period Fall, 1967 through Spring 1969. The series consisted of 8 sessions of 3 lectures each. Each session was devoted to an active basic area of contemporary analysis which is important in application or shows potential applications. Each lecture presented a survey and a critical review of certain aspects of that area, with emphasis on new results, open problems and applications. This volume, the third and final one of the series, contains five lectures from the seventh and eighth sessions, which were devoted to modern harmonic analysis and applications, and integration in function spaces and applications. The lectures concern the LittlewoodPaley Theory, the Theory of Automorphic Forms, Quantization and Unitary Representations, Random Linear Functionals, and the Absolute Continuity of Stochastic Processes. (Author)
Foundations of the theory of dynamical systems of infinitely many degrees of freedom by
Irving Ezra Segal(
Book
)
3 editions published in 1959 in English and held by 23 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 23 WorldCat member libraries worldwide
Analysis in function space : proceedings of a Conference on the Theory and Applications of Analysis in Function Space; held
in Dedham, Mass., June 9  13, 1963 by
Irving Ezra Segal(
Book
)
8 editions published between 1963 and 1965 in English and held by 15 WorldCat member libraries worldwide
8 editions published between 1963 and 1965 in English and held by 15 WorldCat member libraries worldwide
Proceedings of the Conference on Functional Integration and Constructive Quantum Field Theory : April 2830, 1966, Massachusetts
Institute of Technology, Cambridge, Mass. by Conference on Functional Integration and Constructive Quantum Field Theory(
Book
)
2 editions published in 1966 in English and held by 14 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 14 WorldCat member libraries worldwide
Introduction to modern integration theory by
Irving Ezra Segal(
Book
)
3 editions published between 1950 and 1970 in English and held by 10 WorldCat member libraries worldwide
3 editions published between 1950 and 1970 in English and held by 10 WorldCat member libraries worldwide
Conjugacy to unitary groups within the infinitedimensional symplectic group by
Irving Ezra Segal(
Book
)
3 editions published in 1966 in English and held by 7 WorldCat member libraries worldwide
The characterization of Cook for stable, amenable, symplectic groups in an infinitedimensional space is sharpened and reformulated so as to be applicable in part of arbitrary groups
3 editions published in 1966 in English and held by 7 WorldCat member libraries worldwide
The characterization of Cook for stable, amenable, symplectic groups in an infinitedimensional space is sharpened and reformulated so as to be applicable in part of arbitrary groups
Proceedings of the conference on the mathematical theory of elementary particles held at Endicott House, in Dedham, Mass.
Sept. 1215, 1965(
Book
)
2 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
Mathematical cosmology and extragalactic astronomy by
Irving Ezra Segal(
Book
)
2 editions published in 1976 in English and held by 1 WorldCat member library worldwide
2 editions published in 1976 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Kunze, Ray Alden 1928
 Martin, William Ted 19112004 Author Editor
 Baez, John C. 1961 Author
 Zhou, Zhengfang 1959
 Goodman, Roe Author Editor
 Branson, Thomas 1953 Other Editor
 Arveson, William Other Editor
 Von Neumann, John 19031957
 Massachusetts Institute of Technology
 Guillemin, Victor 1937 Author Editor
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Associated Subjects
Algebra Algebras, Linear Astronomy AstronomyMathematics C*algebras Calculus, Integral Conjugacy classes Continuous groups Cosmology Decomposition (Mathematics) Differential equations, Nonlinear Differential equations, Partial Functional analysis Functions Function spaces Geometric quantization Global analysis (Mathematics) Hilbert space Infinitedimensional manifolds Integrals Integrals, Generalized Integration, Functional Mathematical analysis Mathematical physics Mathematics Matrix mechanics Maxwell's demon Multiplicity (Mathematics) Operator algebras Operator theory Particles Particles (Nuclear physics) Physics Quantum field theory Quantum theory Relativity (Physics) Scattering (Physics) Segal, Irving Ezra Symplectic groups Unitary groups
Alternative Names
Irving Segal American mathematician
Irving Segal Amerikaans wiskundige (19181998)
Irving Segal amerikansk matematikar
Irving Segal amerikansk matematiker
Irving Segal mathématicien américain
Irving Segal USamerikanischer Mathematiker
Segal, I. E.
Segal, I. E. 19181998
Segal, I. E. (Irving Ezra)
Segal, Irving.
Segal, Irving 1918
Segal, Irving 19181998
Segal, Irving E.
Segal, Irving E. 19181998
Segal, Irving (Irving Ezra)
Sigal, I.
Sigal, Irving
Sigal, Irving 1918
Sigal, Irving 19181998
Ирвинг Сигал американский математик
ايرفينغ سيغال
アーヴィング・シーガル
爾文·席格
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