Segal, Irving Ezra
Overview
Works:  54 works in 317 publications in 4 languages and 4,450 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, 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
)
54 editions published between 1968 and 1990 in 3 languages and held by 1,027 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
54 editions published between 1968 and 1990 in 3 languages and held by 1,027 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
)
20 editions published between 1963 and 1966 in English and held by 620 WorldCat member libraries worldwide
20 editions published between 1963 and 1966 in English and held by 620 WorldCat member libraries worldwide
Mathematical cosmology and extragalactic astronomy by
Irving Ezra Segal(
Book
)
20 editions published between 1975 and 1976 in English and Italian and held by 531 WorldCat member libraries worldwide
20 editions published between 1975 and 1976 in English and Italian and held by 531 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 290 WorldCat member libraries worldwide
11 editions published in 1996 in English and held by 290 WorldCat member libraries worldwide
Mathematical problems of relativistic physics by
Irving Ezra Segal(
Book
)
25 editions published between 1963 and 1986 in 3 languages and held by 275 WorldCat member libraries worldwide
25 editions published between 1963 and 1986 in 3 languages and held by 275 WorldCat member libraries worldwide
Introduction to algebraic and constructive quantum field theory by
John C Baez(
Book
)
15 editions published between 1991 and 2014 in English and held by 269 WorldCat member libraries worldwide
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particlewave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature.Originally published in 1992.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
15 editions published between 1991 and 2014 in English and held by 269 WorldCat member libraries worldwide
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particlewave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature.Originally published in 1992.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Studies in applied mathematics : a volume dedicated to Irving Segal by
Victor Guillemin(
Book
)
10 editions published between 1978 and 1983 in 3 languages and held by 239 WorldCat member libraries worldwide
10 editions published between 1978 and 1983 in 3 languages and held by 239 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
)
8 editions published in 1955 in English and held by 71 WorldCat member libraries worldwide
8 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
)
16 editions published in 1964 in English and held by 68 WorldCat member libraries worldwide
16 editions published in 1964 in English and held by 68 WorldCat member libraries worldwide
Proceedings of the Conference on the mathematical theory of elementary particles held at Endicott House in Dedham, Massachusetts,
September 1215, 1965 by
Conference on the Mathematical Theory of Elementary Particles(
Book
)
17 editions published in 1966 in English and Undetermined and held by 58 WorldCat member libraries worldwide
17 editions published in 1966 in English and Undetermined and held by 58 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 43 WorldCat member libraries worldwide
2 editions published between 1963 and 1967 in English 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
)
in English and held by 36 WorldCat member libraries worldwide
in English and held by 36 WorldCat member libraries worldwide
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 24 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 24 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
)
3 editions published in 1966 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 1966 in English and held by 15 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 913, 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
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
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Related Identities
 Kunze, Ray Alden 1928
 Baez, John C. 1961 Author
 Zhou, Zhengfang 1959
 Martin, William Ted 19112004 Author Editor
 Goodman, Roe Author Editor
 Arveson, William Other Editor
 Branson, Thomas 1953 Other Editor
 Von Neumann, John 19031957
 Massachusetts Institute of Technology
 Guillemin, Victor 1937 Author Editor
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Associated Subjects
Astronomy AstronomyMathematics C*algebras Calculus, Integral Conjugacy classes Continuous groups Cosmology Differential equations, Nonlinear Differential equations, Partial Functional analysis Functions Function spaces Geometric quantization Hilbert space Infinitedimensional manifolds Integrals Integrals, Generalized Integration, Functional Mathematical physics Mathematics Matrix mechanics Maxwell's demon Operator algebras Particles Particles (Nuclear physics) Physics Quantum field theory Quantum theory Relativity (Physics) Scattering (Physics) Science Segal, Irving Ezra Symplectic groups Unitary groups
Alternative Names
Irving Segal Amerikaans wiskundige (19181998)
Irving Segal amerikansk matematikar
Irving Segal amerikansk matematiker
Irving Segal matemático estadounidense
Irving Segal matematico statunitense
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
ايرفينغ سيغال رياضياتي أمريكي
アーヴィング・シーガル
爾文·席格
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