Edit Profile (opens in new tab) Segal, Irving Ezra Compute Distance To: Compute Author ID: segal.irving-ezra Published as: Segal, I. E.; Segal, Irving; Segal, I.; Segal, Irving E.; Segal, Irving Ezra; Segal, I.-E. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 128 Publications since 1938, including 5 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 4 Publications Co-Authors: 15 Co-Authors with 28 Joint Publications 341 Co-Co-Authors all top 5 Co-Authors 102 single-authored 8 Zhou, Zhengfang 7 Paneitz, Stephen M. 3 Choquet-Bruhat, Yvonne 2 Baez, John C. 2 Goodman, Roe W. 2 Kunze, Ray Alden 2 Vogan, David Alexander jun. 2 von Neumann, John 1 Adler, Stephen L. 1 Arveson, William Barnes 1 Berger, Melvyn S. 1 Betancourt, Octavio L. 1 Branson, Thomas Patrick 1 Cooper, Leon Neil 1 Dunford, Nelson 1 Garabedian, Paul Roesel 1 Hughes, Rhonda Jo 1 Keyes, Robert W. 1 Lichnerowicz, Andre 1 Mackey, George Whitelaw 1 Martin, William Ted 1 Ørsted, Bent 1 Penrose, Roger 1 Segal, Wiliam all top 5 Serials 15 Journal of Functional Analysis 14 Annals of Mathematics. Second Series 9 Bulletin of the American Mathematical Society 8 Proceedings of the National Academy of Sciences of the United States of America 5 Transactions of the American Mathematical Society 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Annals of Physics 2 Proceedings of the Cambridge Philosophical Society 2 Journal of Mathematics and Mechanics 1 Acta Scientiarum Mathematicarum 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Topology 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Physica Scripta 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Il Nuovo Cimento, X. Series 1 Physical Review, II. Series 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Grundlehren der Mathematischen Wissenschaften 1 Proceedings of Symposia in Pure Mathematics 1 Princeton Series in Physics all top 5 Fields 43 Quantum theory (81-XX) 21 Functional analysis (46-XX) 21 Differential geometry (53-XX) 18 Operator theory (47-XX) 15 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 2,508 times in 1,900 Documents Cited by ▼ Year ▼ A non-commutative extension of abstract integration. Zbl 0051.34201Segal, I. E. 324 1953 Non-linear semi-groups. Zbl 0204.16004Segal, I. 231 1963 A class of operator algebras which are determined by groups. Zbl 0045.38601Segal, I. E. 110 1951 Tensor algebras over Hilbert spaces. I. Zbl 0070.34003Segal, I. E. 105 1956 Postulates for general quantum mechanics. Zbl 0034.06602Segal, I. E. 100 1947 Irreducible representations of operator algebras. Zbl 0031.36001Segal, I. E. 80 1947 Mathematical problems of relativistic physics. With an appendix on group representations in Hilbert space by George W. Mackey. Zbl 0112.45307Segal, Irving E. 71 1963 Equivalences of measure spaces. Zbl 0042.35502Segal, I. E. 69 1951 Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104Segal, I. E. 59 1958 Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804Segal, I. E. 59 1962 Dispersion for non-linear relativistic equations. II. Zbl 0179.42302Segal, I. 59 1968 Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061Baez, John C.; Segal, Irving E.; Zhou, Zhengfang 57 1992 The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403Segal, I. E. 55 1963 Construction of nonlinear local quantum processes. I. Zbl 0213.40904Segal, Irving 52 1970 Tensor algebras over Hilbert spaces. II. Zbl 0073.09403Segal, I. E. 51 1956 The group algebra of a locally compact group. Zbl 0032.02901Segal, I. E. 48 1947 Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002Segal, I. E. 46 1963 Quantization of nonlinear systems. Zbl 0099.22402Segal, I. E. 43 1960 The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027Segal, Irving 36 1979 Decompositions of operator algebras. I. Zbl 0043.11505Segal, I. E. 31 1951 Space-time decay for solutions of wave equations. Zbl 0344.35058Segal, Irving 31 1976 An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502Segal, I. E. 30 1950 The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105Baez, John C.; Segal, Irving E.; Zhou, Zhengfang 30 1990 Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019Paneitz, Stephen M.; Segal, Irving E. 28 1982 Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301Segal, I. E. 27 1954 Algebraic integration theory. Zbl 0135.17402Segal, I. 27 1965 Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104Segal, I. E. 26 1961 Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202Segal, I. E. 24 1953 Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806Segal, I. E. 24 1959 The complex-wave representation of the free Boson field. Zbl 0471.22024Segal, I. E. 22 1978 Nonlinear functions of weak processes. I. Zbl 0187.39201Segal, I. 21 1969 Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times.-III: Properties of the \(C^*\)-dynamics for a certain class of interactions. Zbl 0196.28005Segal, I. 21 1969 Causality and analyticity. Zbl 0064.36805Fourès, Y.; Segal, I. E. 20 1955 The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009Segal, Wiliam; Segal, I. E. 20 1998 An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601Segal, I. 18 1967 The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301Segal, I. E. 17 1957 Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201Segal, I. E.; Goodman, R. W. 17 1965 Hypermaximality of certain operators on Lie groups. Zbl 0049.35704Segal, I. E. 16 1952 Notes toward the construction of nonlinear relativistic quantum fields. I: The Hamiltonian in two space-time dimensions as the generator of a \(C^ +\)-automorphism group. Zbl 0162.57801Segal, I. 16 1967 Nonlinear functions of weak processes. II. Zbl 0202.42201Segal, I. 15 1970 The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103Segal, I. E. 15 1950 Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601Segal, I. E. 14 1951 Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001Segal, Irving E.; Kunze, Ray A. 14 1978 Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603Segal, I. E. 13 1957 Quantized differential forms. Zbl 0162.40602Segal, I. 13 1968 Integrals and operations (McGraw-Hill Series in Higher Mathematics). Zbl 0177.30302Segal, I. E.; Kunze, R. 13 1968 A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901Segal, I. E.; von Neumann, John 12 1950 The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501Segal, I. E. 12 1950 Direct formulation of causality requirements on the \(S\) operator. Zbl 0083.43702Segal, I. E. 11 1958 Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020Paneitz, Stephen M.; Segal, Irving E. 11 1982 Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065Paneitz, S. M.; Segal, I. E. 11 1980 Construction of non-linear local quantum processes. II. Zbl 0221.47023Segal, Irving 11 1971 A note on the concept of entropy. Zbl 0223.94001Segal, I. E. 11 1960 The span of the translation of a function in a Lebesgue space. Zbl 0063.06859Segal, I. E. 10 1944 Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103Segal, I. E. 10 1964 Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902Segal, I. E. 10 1965 Two sided ideals in operator algebras. Zbl 0034.37102Segal, I. E. 10 1949 The Yang-Mills equations on the universal cosmos. Zbl 0535.58022Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E. 10 1983 An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312Segal, I. E. 9 1950 Analysis in space-time bundles. IV: Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles. Zbl 0682.58022Paneitz, S. M.; Segal, I. E.; Vogan, D. A. jun. 9 1987 Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069Segal, I. E.; Zhou, Z. 8 1994 Semi-groups of operators and the Weierstrass theorem. Zbl 0061.25307Dunford, Nelson; Segal, I. E. 8 1946 Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space. Zbl 0758.47053Paneitz, S. M.; Pedersen, J.; Segal, I. E.; Zhou, Z. 7 1991 The group ring of a locally compact group. I. Zbl 0063.06858Segal, I. E. 7 1941 Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202Segal, I. 7 1965 Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603Segal, I. 7 1970 Causally oriented manifolds and groups. Zbl 0242.53009Segal, Irving 7 1971 A theorem on the measurability of group-invariant operators. Zbl 0092.32104Segal, I. E. 6 1959 Singular perturbations in the interaction representation. Zbl 0454.47014Hughes, Rhonda J.; Segal, Irving E. 5 1980 Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026Segal, I. E. 5 1984 Nonlinear quantum fields in \(\geq 4\) dimensions and cohomology of the infinite Heisenberg group. Zbl 0803.46086Pedersen, J.; Segal, I. E.; Zhou, Z. 4 1994 Topological groups in which multiplication of one side is differentiable. Zbl 0061.04411Segal, I. E. 4 1946 Invariant measures on locally compact spaces. Zbl 0034.37101Segal, I. E. 4 1949 Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017Segal, I. E.; Zhou, Z. 4 1992 General properties of the Yang-Mills equations in physical space. Zbl 0394.35095Segal, I. E. 4 1978 A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011Ørsted, B.; Segal, I. E. 4 1989 Caractérisation mathématique des observables en théorie quantique des champs et ses conséquences pour la structure des particules libres. Zbl 0090.19503Segal, I.-E. 3 1959 Quasi-finiteness of the interaction Hamiltonian of certain quantum fields. Zbl 0128.22103Segal, I. E. 3 1960 Infinite-dimensional irreducible representations of compact semisimple groups. Zbl 0128.35602Segal, I. E. 3 1964 A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313Segal, I. E.; von Neumann, John 3 1950 Real spinor fields and the electroweak interaction. Zbl 0912.53059Segal, Irving 3 1998 Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023Choquet-Bruhat, Yvonne; Segal, Irving E. 3 1982 Quantization of the de Rham complex. Zbl 0214.49001Segal, I. E. 3 1970 The automorphisms of the symmetric group. Zbl 0061.03301Segal, Irving E. 2 1940 Proceedings of the conference on the mathematical theory of elementary particles, held at Endicott House in Dedham, Massachusetts, September 12–15, 1965. Zbl 0171.24301 2 1966 Spinor currents as vector particles. Zbl 0912.53060Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang 2 1998 Field quantization. Zbl 1063.81607Segal, I. E. 2 1981 Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053Paneitz, S. M.; Segal, I. E. 2 1983 Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007Segal, Irving E. 2 1986 Quantization of symplectic transformations. Zbl 0471.46052Segal, Irving 2 1981 Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028Segal, Irving 2 1974 The mathematical meaning of operationalism in quantum mechanics. Zbl 0087.42801Segal, I. E. 1 1959 Proceedings of a conference on the theory and applications of analysis in function space held at Endicott House in Dedham, Massachusetts June 9-13, 1963. Zbl 0172.39101 1 1964 Fiducial distribution of several parameters with application to a normal system. Zbl 0018.15703Segal, Irving E. 1 1938 The automorphisms of the symmetric group. JFM 66.0083.04Segal, I. E. 1 1940 \(C^*\)-algebras and quantization. Zbl 0853.46069Segal, Irving 1 1994 Non-linear relativistic partial differential equations. Zbl 0204.41701Segal, I. E. 1 1968 Constructive nonlinear quantum field theory in four space-time dimensions. Zbl 0896.46052Segal, Irving 1 1998 Particle theory and global geometry. Zbl 0538.53070Segal, I. E. 1 1982 Alternative space-times and the physics of extreme distances. Zbl 0561.53070Segal, I. E. 1 1984 The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009Segal, Wiliam; Segal, I. E. 20 1998 Real spinor fields and the electroweak interaction. Zbl 0912.53059Segal, Irving 3 1998 Spinor currents as vector particles. Zbl 0912.53060Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang 2 1998 Constructive nonlinear quantum field theory in four space-time dimensions. Zbl 0896.46052Segal, Irving 1 1998 Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069Segal, I. E.; Zhou, Z. 8 1994 Nonlinear quantum fields in \(\geq 4\) dimensions and cohomology of the infinite Heisenberg group. Zbl 0803.46086Pedersen, J.; Segal, I. E.; Zhou, Z. 4 1994 \(C^*\)-algebras and quantization. Zbl 0853.46069Segal, Irving 1 1994 Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061Baez, John C.; Segal, Irving E.; Zhou, Zhengfang 57 1992 Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017Segal, I. E.; Zhou, Z. 4 1992 Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space. Zbl 0758.47053Paneitz, S. M.; Pedersen, J.; Segal, I. E.; Zhou, Z. 7 1991 The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105Baez, John C.; Segal, Irving E.; Zhou, Zhengfang 30 1990 A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011Ørsted, B.; Segal, I. E. 4 1989 Analysis in space-time bundles. IV: Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles. Zbl 0682.58022Paneitz, S. M.; Segal, I. E.; Vogan, D. A. jun. 9 1987 Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007Segal, Irving E. 2 1986 Global theory of nonlinear wave equations. Zbl 0632.35043Segal, I. E. 1 1986 Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026Segal, I. E. 5 1984 Alternative space-times and the physics of extreme distances. Zbl 0561.53070Segal, I. E. 1 1984 The Yang-Mills equations on the universal cosmos. Zbl 0535.58022Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E. 10 1983 Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053Paneitz, S. M.; Segal, I. E. 2 1983 Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019Paneitz, Stephen M.; Segal, Irving E. 28 1982 Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020Paneitz, Stephen M.; Segal, Irving E. 11 1982 Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023Choquet-Bruhat, Yvonne; Segal, Irving E. 3 1982 Particle theory and global geometry. Zbl 0538.53070Segal, I. E. 1 1982 Field quantization. Zbl 1063.81607Segal, I. E. 2 1981 Quantization of symplectic transformations. Zbl 0471.46052Segal, Irving 2 1981 Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065Paneitz, S. M.; Segal, I. E. 11 1980 Singular perturbations in the interaction representation. Zbl 0454.47014Hughes, Rhonda J.; Segal, Irving E. 5 1980 Stability theory and quantization. Zbl 0467.58011Segal, I. E. 1 1980 The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027Segal, Irving 36 1979 The complex-wave representation of the free Boson field. Zbl 0471.22024Segal, I. E. 22 1978 Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001Segal, Irving E.; Kunze, Ray A. 14 1978 General properties of the Yang-Mills equations in physical space. Zbl 0394.35095Segal, I. E. 4 1978 Space-time decay for solutions of wave equations. Zbl 0344.35058Segal, Irving 31 1976 Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028Segal, Irving 2 1974 Singular perturbations of semi-group generators. Zbl 0257.47026Segal, Irving 1 1972 Construction of non-linear local quantum processes. II. Zbl 0221.47023Segal, Irving 11 1971 Causally oriented manifolds and groups. Zbl 0242.53009Segal, Irving 7 1971 Non-linear quantum processes and automorphism groups of \(C^ *\)-algebras. Zbl 0233.46077Segal, I. E. 1 1971 Construction of nonlinear local quantum processes. I. Zbl 0213.40904Segal, Irving 52 1970 Nonlinear functions of weak processes. II. Zbl 0202.42201Segal, I. 15 1970 Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603Segal, I. 7 1970 Quantization of the de Rham complex. Zbl 0214.49001Segal, I. E. 3 1970 Local non-linear functions of quantum fields. Zbl 0245.46105Segal, Irving 1 1970 Nonlinear functions of weak processes. I. Zbl 0187.39201Segal, I. 21 1969 Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times.-III: Properties of the \(C^*\)-dynamics for a certain class of interactions. Zbl 0196.28005Segal, I. 21 1969 Dispersion for non-linear relativistic equations. II. Zbl 0179.42302Segal, I. 59 1968 Quantized differential forms. Zbl 0162.40602Segal, I. 13 1968 Integrals and operations (McGraw-Hill Series in Higher Mathematics). Zbl 0177.30302Segal, I. E.; Kunze, R. 13 1968 Non-linear relativistic partial differential equations. Zbl 0204.41701Segal, I. E. 1 1968 An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601Segal, I. 18 1967 Notes toward the construction of nonlinear relativistic quantum fields. I: The Hamiltonian in two space-time dimensions as the generator of a \(C^ +\)-automorphism group. Zbl 0162.57801Segal, I. 16 1967 Proceedings of the conference on the mathematical theory of elementary particles, held at Endicott House in Dedham, Massachusetts, September 12–15, 1965. Zbl 0171.24301 2 1966 Algebraic integration theory. Zbl 0135.17402Segal, I. 27 1965 Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201Segal, I. E.; Goodman, R. W. 17 1965 Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902Segal, I. E. 10 1965 Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202Segal, I. 7 1965 Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103Segal, I. E. 10 1964 Infinite-dimensional irreducible representations of compact semisimple groups. Zbl 0128.35602Segal, I. E. 3 1964 Proceedings of a conference on the theory and applications of analysis in function space held at Endicott House in Dedham, Massachusetts June 9-13, 1963. Zbl 0172.39101 1 1964 Non-linear semi-groups. Zbl 0204.16004Segal, I. 231 1963 Mathematical problems of relativistic physics. With an appendix on group representations in Hilbert space by George W. Mackey. Zbl 0112.45307Segal, Irving E. 71 1963 The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403Segal, I. E. 55 1963 Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002Segal, I. E. 46 1963 Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804Segal, I. E. 59 1962 Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104Segal, I. E. 26 1961 Quantization of nonlinear systems. Zbl 0099.22402Segal, I. E. 43 1960 A note on the concept of entropy. Zbl 0223.94001Segal, I. E. 11 1960 Quasi-finiteness of the interaction Hamiltonian of certain quantum fields. Zbl 0128.22103Segal, I. E. 3 1960 Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806Segal, I. E. 24 1959 A theorem on the measurability of group-invariant operators. Zbl 0092.32104Segal, I. E. 6 1959 Caractérisation mathématique des observables en théorie quantique des champs et ses conséquences pour la structure des particules libres. Zbl 0090.19503Segal, I.-E. 3 1959 The mathematical meaning of operationalism in quantum mechanics. Zbl 0087.42801Segal, I. E. 1 1959 Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104Segal, I. E. 59 1958 Direct formulation of causality requirements on the \(S\) operator. Zbl 0083.43702Segal, I. E. 11 1958 The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301Segal, I. E. 17 1957 Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603Segal, I. E. 13 1957 Tensor algebras over Hilbert spaces. I. Zbl 0070.34003Segal, I. E. 105 1956 Tensor algebras over Hilbert spaces. II. Zbl 0073.09403Segal, I. E. 51 1956 Causality and analyticity. Zbl 0064.36805Fourès, Y.; Segal, I. E. 20 1955 Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301Segal, I. E. 27 1954 A non-commutative extension of abstract integration. Zbl 0051.34201Segal, I. E. 324 1953 Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202Segal, I. E. 24 1953 Hypermaximality of certain operators on Lie groups. Zbl 0049.35704Segal, I. E. 16 1952 A class of operator algebras which are determined by groups. Zbl 0045.38601Segal, I. E. 110 1951 Equivalences of measure spaces. Zbl 0042.35502Segal, I. E. 69 1951 Decompositions of operator algebras. I. Zbl 0043.11505Segal, I. E. 31 1951 Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601Segal, I. E. 14 1951 Decompositions of operator algebras I and II. Zbl 1415.46005Segal, Irving Ezra 1 1951 An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502Segal, I. E. 30 1950 The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103Segal, I. E. 15 1950 A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901Segal, I. E.; von Neumann, John 12 1950 The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501Segal, I. E. 12 1950 An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312Segal, I. E. 9 1950 A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313Segal, I. E.; von Neumann, John 3 1950 Two sided ideals in operator algebras. Zbl 0034.37102Segal, I. E. 10 1949 Invariant measures on locally compact spaces. Zbl 0034.37101Segal, I. E. 4 1949 Postulates for general quantum mechanics. Zbl 0034.06602Segal, I. E. 100 1947 Irreducible representations of operator algebras. Zbl 0031.36001Segal, I. E. 80 1947 The group algebra of a locally compact group. Zbl 0032.02901Segal, I. E. 48 1947 Semi-groups of operators and the Weierstrass theorem. Zbl 0061.25307Dunford, Nelson; Segal, I. E. 8 1946 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,737 Authors 30 Segal, Irving Ezra 29 Sukochev, Fedor Anatol’evich 28 Jørgensen, Palle E. T. 25 Bikchentaev, Aĭrat Midkhatovich 19 Albeverio, Sergio A. 16 Gross, Leonard 15 Chilin, Vladimir Ivanovich 15 Umegaki, Hisaharu 14 Baez, John C. 13 Ber, Aleksey Feliksovich 13 Chadam, John M. 13 Kudaĭbergenov, Karimbergen Kadirbergenovich 12 Ayupov, Shavkat Abdullaevich 12 Glassey, Robert Thomas 11 Hall, Brian C. 11 Nakamura, Masahiro 11 Strauss, Walter Alexander 11 Velo, Giorgio 11 Zhou, Zhengfang 10 Hudson, Robin Lyth 10 Paneitz, Stephen M. 10 Wilde, Ivan Francis 9 Ginibre, Jean 9 Simon, Barry 9 Streater, Raymond F. 8 Aliev, Akbar B. 8 Bratteli, Ola 8 Carlen, Eric Anders 8 Choquet-Bruhat, Yvonne 8 Gudder, Stanley P. 8 Haven, Emmanuel E. 8 Huang, Jinghao 8 Inoue, Atsushi 8 Litvinov, Semyon N. 8 Marmo, Giuseppe 8 Marsden, Jerrold Eldon 8 Trapani, Camillo 8 Triolo, Salvatore 7 Junge, Marius 7 Klein, Abel 7 Komech, Alexander Ilich 7 Kosaki, Hideki 7 Rammaha, Mohammad A. 7 Shale, David 7 Takeda, Zirô 6 Accardi, Luigi 6 Ali, Liaqat 6 Barnett, Chris 6 de Pagter, Bernardus 6 Dixmier, Jacques 6 Dudley, Richard Mansfield 6 Finkelstein, David Ritz 6 Glimm, James G. 6 González, Benito Juan 6 Kastler, Daniel 6 Neeb, Karl-Hermann 6 Negrin, Emilio R. 6 Ørsted, Bent 6 Said-Houari, Belkacem 6 Śniatycki, Jędrzej 6 Takesaki, Masamichi 6 Turumaru, Takasi 6 Webb, Glenn Francis 5 Arveson, William Barnes 5 Davies, Edward Brian 5 Dodds, Peter G. 5 Emch, Gerard G. 5 Hiai, Fumio 5 Høegh-Krohn, Raphael J. 5 Hughes, Rhonda Jo 5 Jaffe, Arthur Michael 5 Khan, Yaqoub Ahmed 5 Kree, Paul 5 Kulikov, Anatoliĭ Nikolaevich 5 Landau, Lawrence J. 5 Lindsay, J. Martin 5 Liu, Wenjun 5 Nicolas, Jean-Philippe 5 Nunes, João Pedro Vidal 5 Padmanabhan, Appaswamy Ramanathan 5 Piech, M. Ann 5 Robinson, Derek W. 5 Saito, Kichisuke 5 Sherstnev, Anatolij N. 5 Shultz, Frederic W. 5 Sternheimer, Daniel 5 Størmer, Erling 5 Zanin, Dmitriy V. 4 Alfsen, Erik M. 4 Antoniou, Ioannis E. 4 Araki, Huzihiro 4 Bachelot, Alain 4 Bagarello, Fabio 4 Beltiţă, Daniel 4 Burzlaff, Jürgen 4 Carey, Alan L. 4 Choustova, Olga 4 Comech, Andrew 4 Doebner, Heinz-Dietrich 4 Doplicher, Sergio ...and 1,637 more Authors all top 5 Cited in 305 Serials 204 Journal of Functional Analysis 126 Communications in Mathematical Physics 119 Journal of Mathematical Physics 94 Transactions of the American Mathematical Society 54 Journal of Mathematical Analysis and Applications 45 Proceedings of the American Mathematical Society 40 Bulletin of the American Mathematical Society 34 International Journal of Theoretical Physics 33 Mathematische Annalen 33 Tôhoku Mathematical Journal. Second Series 25 Mathematische Zeitschrift 25 Publications of the Research Institute for Mathematical Sciences, Kyoto University 24 Journal of Differential Equations 23 Proceedings of the Japan Academy 21 Advances in Mathematics 20 Integral Equations and Operator Theory 19 Archive for Rational Mechanics and Analysis 19 Letters in Mathematical Physics 16 Reports on Mathematical Physics 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Communications in Partial Differential Equations 15 Annales de l’Institut Henri Poincaré. Physique Théorique 15 Journal of Mathematical Sciences (New York) 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 Theoretical and Mathematical Physics 14 Reviews in Mathematical Physics 14 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 13 Israel Journal of Mathematics 13 Acta Mathematica 13 Annales de l’Institut Fourier 13 Bulletin of the American Mathematical Society. New Series 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 12 Linear Algebra and its Applications 11 Acta Applicandae Mathematicae 11 Nonlinear Analysis. Theory, Methods & Applications 10 Mathematical Notes 10 Rocky Mountain Journal of Mathematics 10 Journal of Geometry and Physics 10 Inventiones Mathematicae 10 Kodai Mathematical Seminar Reports 9 Journal of Multivariate Analysis 9 Mathematische Nachrichten 9 Positivity 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 Journal d’Analyse Mathématique 8 Nuclear Physics. B 8 Ukrainian Mathematical Journal 8 Bulletin de la Société Mathématique de France 8 Functional Analysis and its Applications 8 Journal of Soviet Mathematics 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Siberian Mathematical Journal 8 Foundations of Physics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Applicable Analysis 6 General Relativity and Gravitation 6 Mathematical Methods in the Applied Sciences 6 Arkiv för Matematik 6 Topology and its Applications 6 Russian Mathematics 6 Discrete and Continuous Dynamical Systems 6 Physical Review, II. Series 5 Studia Mathematica 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Archiv der Mathematik 5 Czechoslovak Mathematical Journal 5 Journal of Algebra 5 Manuscripta Mathematica 5 Synthese 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Lobachevskii Journal of Mathematics 5 Annales Henri Poincaré 5 Differential Equations 5 Journal of Hyperbolic Differential Equations 5 Complex Analysis and Operator Theory 5 Banach Journal of Mathematical Analysis 4 Journal of Statistical Physics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Journal of Pure and Applied Algebra 4 Mathematica Slovaca 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Semigroup Forum 4 Acta Mathematica Hungarica 4 Probability Theory and Related Fields 4 International Journal of Mathematics 4 Annals of Physics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Russian Journal of Mathematical Physics 4 NoDEA. Nonlinear Differential Equations and Applications 4 Doklady Mathematics 4 Acta Mathematica Sinica. English Series 4 Journal of High Energy Physics ...and 205 more Serials all top 5 Cited in 58 Fields 564 Functional analysis (46-XX) 433 Quantum theory (81-XX) 408 Partial differential equations (35-XX) 345 Operator theory (47-XX) 154 Topological groups, Lie groups (22-XX) 141 Probability theory and stochastic processes (60-XX) 96 Abstract harmonic analysis (43-XX) 96 Differential geometry (53-XX) 90 Measure and integration (28-XX) 81 Nonassociative rings and algebras (17-XX) 78 Global analysis, analysis on manifolds (58-XX) 50 Relativity and gravitational theory (83-XX) 49 Dynamical systems and ergodic theory (37-XX) 48 Statistical mechanics, structure of matter (82-XX) 36 Ordinary differential equations (34-XX) 27 Associative rings and algebras (16-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 22 Mechanics of particles and systems (70-XX) 22 Mechanics of deformable solids (74-XX) 21 Systems theory; control (93-XX) 20 Group theory and generalizations (20-XX) 19 History and biography (01-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Integral transforms, operational calculus (44-XX) 17 Information and communication theory, circuits (94-XX) 16 Mathematical logic and foundations (03-XX) 15 Integral equations (45-XX) 15 Statistics (62-XX) 14 Fluid mechanics (76-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Special functions (33-XX) 13 Numerical analysis (65-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Algebraic topology (55-XX) 10 Category theory; homological algebra (18-XX) 10 Manifolds and cell complexes (57-XX) 9 Number theory (11-XX) 9 Functions of a complex variable (30-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 General topology (54-XX) 7 Optics, electromagnetic theory (78-XX) 6 Real functions (26-XX) 6 Approximations and expansions (41-XX) 5 Biology and other natural sciences (92-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 Field theory and polynomials (12-XX) 3 Convex and discrete geometry (52-XX) 2 Potential theory (31-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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