Segal, Irving Ezra
Overview
Works:  88 works in 297 publications in 4 languages and 4,223 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Dedicatee 
Classifications:  QA312, 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 1,023 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 1,023 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
Mathematical cosmology and extragalactic astronomy by
Irving Ezra Segal(
Book
)
17 editions published between 1975 and 1976 in English and Italian and held by 529 WorldCat member libraries worldwide
17 editions published between 1975 and 1976 in English and Italian and held by 529 WorldCat member libraries worldwide
Proceedings by Conference on the Theory and Applications of Analysis in Function Space(
Book
)
4 editions published between 1963 and 1964 in English and held by 341 WorldCat member libraries worldwide
4 editions published between 1963 and 1964 in English and held by 341 WorldCat member libraries worldwide
Proceedings by Conference on the Mathematical Theory of Elementary Particles Dedham(
Book
)
9 editions published in 1966 in English and held by 304 WorldCat member libraries worldwide
9 editions published in 1966 in English and held by 304 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 288 WorldCat member libraries worldwide
11 editions published in 1996 in English and held by 288 WorldCat member libraries worldwide
Mathematical problems of relativistic physics by
Irving Ezra Segal(
Book
)
17 editions published between 1963 and 1986 in English and Russian and held by 265 WorldCat member libraries worldwide
17 editions published between 1963 and 1986 in English and Russian and held by 265 WorldCat member libraries worldwide
Introduction to algebraic and constructive quantum field theory by
John C Baez(
Book
)
11 editions published between 1991 and 1992 in English and held by 263 WorldCat member libraries worldwide
11 editions published between 1991 and 1992 in English and held by 263 WorldCat member libraries worldwide
Studies in applied mathematics : a volume dedicated to Irving Segal by
Victor Guillemin(
Book
)
8 editions published in 1983 in 3 languages and held by 255 WorldCat member libraries worldwide
8 editions published in 1983 in 3 languages and held by 255 WorldCat member libraries worldwide
Decompositions of operator algebras by
Irving Ezra Segal(
Book
)
4 editions published between 1951 and 1971 in English and held by 86 WorldCat member libraries worldwide
4 editions published between 1951 and 1971 in English and held by 86 WorldCat member libraries worldwide
Decompositions of operator algebras I and II by
Irving Ezra Segal(
Book
)
24 editions published between 1951 and 1989 in English and Italian and held by 75 WorldCat member libraries worldwide
24 editions published between 1951 and 1989 in English and Italian and held by 75 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
)
1 edition published in 1955 in English and held by 62 WorldCat member libraries worldwide
1 edition published in 1955 in English and held by 62 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 Conference on the Theory and Applications of Analysis in Function Space(
Book
)
11 editions published in 1964 in English and held by 54 WorldCat member libraries worldwide
11 editions published in 1964 in English and held by 54 WorldCat member libraries worldwide
Mathematical problems of relativistic physics. With an appendix on Group representations in Hilbert space by
Irving Ezra Segal(
Book
)
5 editions published between 1963 and 1967 in English and Undetermined and held by 43 WorldCat member libraries worldwide
5 editions published between 1963 and 1967 in English and Undetermined and held by 43 WorldCat member libraries worldwide
Foundations of the theory of dynamical systems of infinitely many degrees of freedom by
Irving Ezra Segal(
Book
)
7 editions published in 1959 in English and held by 42 WorldCat member libraries worldwide
7 editions published in 1959 in English and held by 42 WorldCat member libraries worldwide
Decompositions of operator algebras by
Irving Ezra Segal(
Book
)
16 editions published between 1950 and 1971 in English and held by 36 WorldCat member libraries worldwide
16 editions published between 1950 and 1971 in English and held by 36 WorldCat member libraries worldwide
Lectures in modern analysis and applications II by
James Glimm(
)
4 editions published in 1970 in English and held by 31 WorldCat member libraries worldwide
4 editions published in 1970 in English and held by 31 WorldCat member libraries worldwide
Proceedings of the Conference on the Mathematical Theory of Elementary Particles : held at Endicott House, in Dedham, Massachusetts,
September 12  15, 1965 by Conference on the Mathematical Theory of Elementary Particles(
Book
)
8 editions published in 1966 in English and held by 29 WorldCat member libraries worldwide
8 editions published in 1966 in English and held by 29 WorldCat member libraries worldwide
Foundations of the theory of dynamical systems of infinitely many degrees of freedom by
Irving Ezra Segal(
Book
)
1 edition published in 1959 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1959 in English and held by 16 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 15 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 15 WorldCat member libraries worldwide
A mathematical approach to elementary particles and their fields by
Irving Ezra Segal(
Book
)
5 editions published in 1955 in English and held by 10 WorldCat member libraries worldwide
5 editions published in 1955 in English and held by 10 WorldCat member libraries worldwide
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Related Identities
 Kunze, Ray Alden 1928
 Martin, William Ted 19112004 Author Editor
 Goodman, Roe Author Editor
 Arveson, William Other Editor
 Baez, John C. 1961 Author
 Branson, Thomas 1953 Other Editor
 Zhou, Zhengfang 1959
 Massachusetts Institute of Technology
 Von Neumann, John 19031957
 Guillemin, Victor 1937 Author Editor
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Associated Subjects
Algebra Algebras, Linear Astronomy AstronomyMathematics C*algebras Cosmology Decomposition (Mathematics) Differential equations, Nonlinear Differential equations, Partial Functional analysis Function spaces Geometric quantization Hilbert space Integrals, Generalized Integration, Functional Mathematical analysis Mathematical physics Mathematics Matrix mechanics Maxwell's demon Multiplicity (Mathematics) Operator algebras Operator theory Particles Particles (Nuclear physics) Quantum field theory Quantum theory Relativity (Physics) Segal, Irving Ezra
Alternative Names
Irving Segal American mathematician
Irving Segal amerikansk matematikar
Irving Segal amerikansk matematiker
Irving Segal mathmaticien amricain
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
Sigal, I.
Sigal, Irving
Sigal, Irving 1918
Sigal, Irving 19181998
Ирвинг Сигал американский математик
ايرفينغ سيغال
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