# zbMATH — the first resource for mathematics

## Segal, Irving Ezra

Compute Distance To:
 Author ID: segal.irving-ezra Published as: Segal, I.; Segal, I. E.; Segal, I.-E.; Segal, Irving; Segal, Irving E.; Segal, Irving Ezra External Links: MGP · Wikidata · GND
 Documents Indexed: 131 Publications since 1938, including 8 Books Biographic References: 4 Publications
all top 5

#### Co-Authors

 103 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 Arveson, William Barnes 1 Branson, Thomas Patrick 1 Dunford, Nelson 1 Hughes, Rhonda Jo 1 Martin, William Ted 1 Ørsted, Bent 1 Pedersen, J. N. 1 Pedersen, Jan Bækgaard 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

 42 Quantum theory (81-XX) 21 Differential geometry (53-XX) 20 Functional analysis (46-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 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Astronomy and astrophysics (85-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-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 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

108 Publications have been cited 2,453 times in 1,851 Documents Cited by Year
A non-commutative extension of abstract integration. Zbl 0051.34201
Segal, I. E.
1953
Non-linear semi-groups. Zbl 0204.16004
Segal, I.
1963
A class of operator algebras which are determined by groups. Zbl 0045.38601
Segal, I. E.
1951
Tensor algebras over Hilbert spaces. I. Zbl 0070.34003
Segal, I. E.
1956
Postulates for general quantum mechanics. Zbl 0034.06602
Segal, I. E.
1947
Mathematical problems of relativistic physics. With an appendix on group representations in Hilbert space by G.W.Mackey. Zbl 0112.45307
Segal, I. E.
1963
Irreducible representations of operator algebras. Zbl 0031.36001
Segal, I. E.
1947
Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
1992
Equivalences of measure spaces. Zbl 0042.35502
Segal, I. E.
1951
Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804
Segal, I. E.
1962
Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104
Segal, I. E.
1958
Dispersion for non-linear relativistic equations. II. Zbl 0179.42302
Segal, I.
1968
The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403
Segal, I. E.
1963
Construction of nonlinear local quantum processes. I. Zbl 0213.40904
Segal, Irving
1970
The group algebra of a locally compact group. Zbl 0032.02901
Segal, I. E.
1947
Tensor algebras over Hilbert spaces. II. Zbl 0073.09403
Segal, I. E.
1956
Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002
Segal, I. E.
1963
Quantization of nonlinear systems. Zbl 0099.22402
Segal, I. E.
1960
The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027
Segal, Irving
1979
Space-time decay for solutions of wave equations. Zbl 0344.35058
Segal, Irving
1976
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502
Segal, I. E.
1950
Decompositions of operator algebras. I. Zbl 0043.11505
Segal, I. E.
1951
The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
1990
Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019
Paneitz, Stephen M.; Segal, Irving E.
1982
Algebraic integration theory. Zbl 0135.17402
Segal, I.
1965
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806
Segal, I. E.
1959
Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301
Segal, I. E.
1954
The complex-wave representation of the free Boson field. Zbl 0471.22024
Segal, I. E.
1978
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104
Segal, I. E.
1961
Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202
Segal, I. E.
1953
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 0196.28005
Segal, I.
1969
Nonlinear functions of weak processes. I. Zbl 0187.39201
Segal, I.
1969
Causality and analyticity. Zbl 0064.36805
Fourès, Y.; Segal, I. E.
1955
The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009
Segal, Wiliam; Segal, I. E.
1998
Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001
Segal, Irving E.; Kunze, Ray A.
1978
An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601
Segal, I.
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 0162.57801
Segal, I.
1967
Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902
Segal, I. E.
1965
The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301
Segal, I. E.
1957
Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201
Segal, I. E.; Goodman, R. W.
1965
Hypermaximality of certain operators on Lie groups. Zbl 0049.35704
Segal, I. E.
1952
The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103
Segal, I. E.
1950
Nonlinear functions of weak processes. II. Zbl 0202.42201
Segal, I.
1970
A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901
Segal, I. E.; von Neumann, John
1950
Integrals and operations (McGraw-Hill Series in Higher Mathematics). Zbl 0177.30302
Segal, I. E.; Kunze, R.
1968
Quantized differential forms. Zbl 0162.40602
Segal, I.
1968
Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601
Segal, I. E.
1951
The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501
Segal, I. E.
1950
Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103
Segal, I. E.
1964
Direct formulation of causality requirements on the $$S$$ operator. Zbl 0083.43702
Segal, I. E.
1958
Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603
Segal, I. E.
1957
The Yang-Mills equations on the universal cosmos. Zbl 0535.58022
Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E.
1983
Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020
Paneitz, Stephen M.; Segal, Irving E.
1982
Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065
Paneitz, S. M.; Segal, I. E.
1980
Construction of non-linear local quantum processes. II. Zbl 0221.47023
Segal, Irving
1971
Two sided ideals in operator algebras. Zbl 0034.37102
Segal, I. E.
1949
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312
Segal, I. E.
1950
The span of the translation of a function in a Lebesgue space. Zbl 0063.06859
Segal, I. E.
1944
Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069
Segal, I. E.; Zhou, Z.
1994
Analysis in space-time bundles. IV: Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles. Zbl 0682.58022
Paneitz, S. M.; Segal, I. E.; Vogan, D. A. jun.
1987
A note on the concept of entropy. Zbl 0223.94001
Segal, I. E.
1960
Semi-groups of operators and the Weierstrass theorem. Zbl 0061.25307
Dunford, Nelson; Segal, I. E.
1946
Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space. Zbl 0758.47053
Paneitz, S. M.; Pedersen, J.; Segal, I. E.; Zhou, Z.
1991
Causally oriented manifolds and groups. Zbl 0242.53009
Segal, Irving
1971
Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603
Segal, I.
1970
Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202
Segal, I.
1965
The group ring of a locally compact group. I. Zbl 0063.06858
Segal, I. E.
1941
A theorem on the measurability of group-invariant operators. Zbl 0092.32104
Segal, I. E.
1959
Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026
Segal, I. E.
1984
Singular perturbations in the interaction representation. Zbl 0454.47014
Hughes, Rhonda J.; Segal, Irving E.
1980
Nonlinear quantum fields in $$\geq 4$$ dimensions and cohomology of the infinite Heisenberg group. Zbl 0803.46086
Pedersen, J.; Segal, I. E.; Zhou, Z.
1994
Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017
Segal, I. E.; Zhou, Z.
1992
A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011
Ørsted, B.; Segal, I. E.
1989
General properties of the Yang-Mills equations in physical space. Zbl 0394.35095
Segal, I. E.
1978
Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028
Segal, Irving
1974
Singular perturbations of semi-group generators. Zbl 0257.47026
Segal, Irving
1972
Invariant measures on locally compact spaces. Zbl 0034.37101
Segal, I. E.
1949
Topological groups in which multiplication of one side is differentiable. Zbl 0061.04411
Segal, I. E.
1946
Real spinor fields and the electroweak interaction. Zbl 0912.53059
Segal, Irving
1998
Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023
Choquet-Bruhat, Yvonne; Segal, Irving E.
1982
Quantization of symplectic transformations. Zbl 0471.46052
Segal, Irving
1981
Local noncommutative analysis. Zbl 0215.20001
Segal, I.
1970
Quantization of the de Rham complex. Zbl 0214.49001
Segal, I. E.
1970
Infinite-dimensional irreducible representations of compact semisimple groups. Zbl 0128.35602
Segal, I. E.
1964
Quasi-finiteness of the interaction Hamiltonian of certain quantum fields. Zbl 0128.22103
Segal, I. E.
1960
Caractérisation mathématique des observables en théorie quantique des champs et ses conséquences pour la structure des particules libres. Zbl 0090.19503
Segal, I.-E.
1959
Spinor currents as vector particles. Zbl 0912.53060
Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang
1998
Constructive nonlinear quantum field theory in four space-time dimensions. Zbl 0896.46052
Segal, Irving
1998
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007
Segal, Irving E.
1986
Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053
Paneitz, S. M.; Segal, I. E.
1983
Field quantization. Zbl 1063.81607
Segal, I. E.
1981
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
Goodman, Roe (ed.); Segal, Irving (ed.)
1966
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
Martin, W. T. (ed.); Segal, I. (ed.)
1964
A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313
Segal, I. E.; von Neumann, John
1950
The automorphisms of the symmetric group. Zbl 0061.03301
Segal, Irving E.
1940
$$C^*$$-algebras and quantization. Zbl 0853.46069
Segal, Irving
1994
Global theory of nonlinear wave equations. Zbl 0632.35043
Segal, I. E.
1986
Alternative space-times and the physics of extreme distances. Zbl 0561.53070
Segal, I. E.
1984
Particle theory and global geometry. Zbl 0538.53070
Segal, I. E.
1982
Stability theory and quantization. Zbl 0467.58011
Segal, I. E.
1980
The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009
Segal, Wiliam; Segal, I. E.
1998
Real spinor fields and the electroweak interaction. Zbl 0912.53059
Segal, Irving
1998
Spinor currents as vector particles. Zbl 0912.53060
Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang
1998
Constructive nonlinear quantum field theory in four space-time dimensions. Zbl 0896.46052
Segal, Irving
1998
Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069
Segal, I. E.; Zhou, Z.
1994
Nonlinear quantum fields in $$\geq 4$$ dimensions and cohomology of the infinite Heisenberg group. Zbl 0803.46086
Pedersen, J.; Segal, I. E.; Zhou, Z.
1994
$$C^*$$-algebras and quantization. Zbl 0853.46069
Segal, Irving
1994
Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
1992
Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017
Segal, I. E.; Zhou, Z.
1992
Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space. Zbl 0758.47053
Paneitz, S. M.; Pedersen, J.; Segal, I. E.; Zhou, Z.
1991
The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
1990
A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011
Ørsted, B.; Segal, I. E.
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 0682.58022
Paneitz, S. M.; Segal, I. E.; Vogan, D. A. jun.
1987
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007
Segal, Irving E.
1986
Global theory of nonlinear wave equations. Zbl 0632.35043
Segal, I. E.
1986
Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026
Segal, I. E.
1984
Alternative space-times and the physics of extreme distances. Zbl 0561.53070
Segal, I. E.
1984
The Yang-Mills equations on the universal cosmos. Zbl 0535.58022
Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E.
1983
Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053
Paneitz, S. M.; Segal, I. E.
1983
Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019
Paneitz, Stephen M.; Segal, Irving E.
1982
Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020
Paneitz, Stephen M.; Segal, Irving E.
1982
Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023
Choquet-Bruhat, Yvonne; Segal, Irving E.
1982
Particle theory and global geometry. Zbl 0538.53070
Segal, I. E.
1982
Quantization of symplectic transformations. Zbl 0471.46052
Segal, Irving
1981
Field quantization. Zbl 1063.81607
Segal, I. E.
1981
Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065
Paneitz, S. M.; Segal, I. E.
1980
Singular perturbations in the interaction representation. Zbl 0454.47014
Hughes, Rhonda J.; Segal, Irving E.
1980
Stability theory and quantization. Zbl 0467.58011
Segal, I. E.
1980
The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027
Segal, Irving
1979
The complex-wave representation of the free Boson field. Zbl 0471.22024
Segal, I. E.
1978
Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001
Segal, Irving E.; Kunze, Ray A.
1978
General properties of the Yang-Mills equations in physical space. Zbl 0394.35095
Segal, I. E.
1978
Space-time decay for solutions of wave equations. Zbl 0344.35058
Segal, Irving
1976
Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028
Segal, Irving
1974
Singular perturbations of semi-group generators. Zbl 0257.47026
Segal, Irving
1972
Construction of non-linear local quantum processes. II. Zbl 0221.47023
Segal, Irving
1971
Causally oriented manifolds and groups. Zbl 0242.53009
Segal, Irving
1971
Non-linear quantum processes and automorphism groups of $$C^ *$$-algebras. Zbl 0233.46077
Segal, I. E.
1971
Construction of nonlinear local quantum processes. I. Zbl 0213.40904
Segal, Irving
1970
Nonlinear functions of weak processes. II. Zbl 0202.42201
Segal, I.
1970
Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603
Segal, I.
1970
Local noncommutative analysis. Zbl 0215.20001
Segal, I.
1970
Quantization of the de Rham complex. Zbl 0214.49001
Segal, I. E.
1970
Local non-linear functions of quantum fields. Zbl 0245.46105
Segal, Irving
1970
The mathematical theory of quantum fields. Zbl 0201.58101
Segal, I. E.
1970
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 0196.28005
Segal, I.
1969
Nonlinear functions of weak processes. I. Zbl 0187.39201
Segal, I.
1969
Dispersion for non-linear relativistic equations. II. Zbl 0179.42302
Segal, I.
1968
Integrals and operations (McGraw-Hill Series in Higher Mathematics). Zbl 0177.30302
Segal, I. E.; Kunze, R.
1968
Quantized differential forms. Zbl 0162.40602
Segal, I.
1968
Non-linear relativistic partial differential equations. Zbl 0204.41701
Segal, I. E.
1968
An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601
Segal, I.
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 0162.57801
Segal, I.
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
Goodman, Roe (ed.); Segal, Irving (ed.)
1966
Algebraic integration theory. Zbl 0135.17402
Segal, I.
1965
Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902
Segal, I. E.
1965
Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201
Segal, I. E.; Goodman, R. W.
1965
Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202
Segal, I.
1965
Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103
Segal, I. E.
1964
Infinite-dimensional irreducible representations of compact semisimple groups. Zbl 0128.35602
Segal, I. E.
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
Martin, W. T. (ed.); Segal, I. (ed.)
1964
Non-linear semi-groups. Zbl 0204.16004
Segal, I.
1963
Mathematical problems of relativistic physics. With an appendix on group representations in Hilbert space by G.W.Mackey. Zbl 0112.45307
Segal, I. E.
1963
The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403
Segal, I. E.
1963
Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002
Segal, I. E.
1963
Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804
Segal, I. E.
1962
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104
Segal, I. E.
1961
Quantization of nonlinear systems. Zbl 0099.22402
Segal, I. E.
1960
A note on the concept of entropy. Zbl 0223.94001
Segal, I. E.
1960
Quasi-finiteness of the interaction Hamiltonian of certain quantum fields. Zbl 0128.22103
Segal, I. E.
1960
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806
Segal, I. E.
1959
A theorem on the measurability of group-invariant operators. Zbl 0092.32104
Segal, I. E.
1959
Caractérisation mathématique des observables en théorie quantique des champs et ses conséquences pour la structure des particules libres. Zbl 0090.19503
Segal, I.-E.
1959
The mathematical meaning of operationalism in quantum mechanics. Zbl 0087.42801
Segal, I. E.
1959
Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104
Segal, I. E.
1958
Direct formulation of causality requirements on the $$S$$ operator. Zbl 0083.43702
Segal, I. E.
1958
The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301
Segal, I. E.
1957
Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603
Segal, I. E.
1957
Tensor algebras over Hilbert spaces. I. Zbl 0070.34003
Segal, I. E.
1956
Tensor algebras over Hilbert spaces. II. Zbl 0073.09403
Segal, I. E.
1956
Causality and analyticity. Zbl 0064.36805
Fourès, Y.; Segal, I. E.
1955
Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301
Segal, I. E.
1954
A non-commutative extension of abstract integration. Zbl 0051.34201
Segal, I. E.
1953
Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202
Segal, I. E.
1953
Hypermaximality of certain operators on Lie groups. Zbl 0049.35704
Segal, I. E.
1952
A class of operator algebras which are determined by groups. Zbl 0045.38601
Segal, I. E.
1951
Equivalences of measure spaces. Zbl 0042.35502
Segal, I. E.
1951
Decompositions of operator algebras. I. Zbl 0043.11505
Segal, I. E.
1951
Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601
Segal, I. E.
1951
Decompositions of operator algebras I and II. Zbl 1415.46005
Segal, Irving Ezra
1951
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502
Segal, I. E.
1950
The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103
Segal, I. E.
1950
A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901
Segal, I. E.; von Neumann, John
1950
The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501
Segal, I. E.
1950
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312
Segal, I. E.
1950
A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313
Segal, I. E.; von Neumann, John
1950
Two sided ideals in operator algebras. Zbl 0034.37102
Segal, I. E.
1949
Invariant measures on locally compact spaces. Zbl 0034.37101
Segal, I. E.
1949
Postulates for general quantum mechanics. Zbl 0034.06602
Segal, I. E.
1947
Irreducible representations of operator algebras. Zbl 0031.36001
Segal, I. E.
1947
...and 8 more Documents
all top 5

#### Cited by 1,731 Authors

 30 Segal, Irving Ezra 28 Jørgensen, Palle E. T. 24 Sukochev, Fedor Anatol’evich 23 Bikchentaev, Aĭrat Midkhatovich 19 Albeverio, Sergio A. 16 Gross, Leonard 15 Baez, John C. 15 Umegaki, Hisaharu 14 Chilin, Vladimir Ivanovich 13 Chadam, John M. 12 Glassey, Robert T. 11 Ayupov, Shavkat Abdullaevich 11 Ber, Aleksey Feliksovich 11 Hall, Brian C. 11 Kudaybergenov, Karimbergen K. 11 Nakamura, Masahiro 11 Strauss, Walter Alexander 11 Velo, Giorgio 11 Wilde, Ivan Francis 11 Zhou, Zhengfang 10 Hudson, Robin Lyth 10 Paneitz, Stephen M. 9 Ginibre, Jean 9 Streater, Raymond F. 8 Bratteli, Ola 8 Carlen, Eric Anders 8 Choquet-Bruhat, Yvonne 8 Haven, Emmanuel E. 8 Inoue, Atsushi 8 Litvinov, Semyon N. 8 Marmo, Giuseppe 8 Marsden, Jerrold Eldon 8 Rammaha, Mohammad A. 7 Aliev, Akbar B. 7 González, Benito J. 7 Hughes, Rhonda Jo 7 Junge, Marius 7 Klein, Abel 7 Negrin, Emilio R. 7 Shale, David 7 Simon, Barry 7 Takeda, Zirô 7 Trapani, Camillo 7 Triolo, Salvatore 6 Barnett, Chris 6 de Pagter, Bernardus 6 Dixmier, Jacques 6 Dudley, Richard Mansfield 6 Finkelstein, David Ritz 6 Glimm, James G. 6 Gudder, Stanley P. 6 Kastler, Daniel 6 Kosaki, Hideki 6 Neeb, Karl-Hermann 6 Ørsted, Bent 6 Śniatycki, Jędrzej 6 Takesaki, Masamichi 6 Turumaru, Takasi 6 Webb, Glenn Francis 5 Accardi, Luigi 5 Arveson, William Barnes 5 Carey, Alan L. 5 Davies, Edward Brian 5 Dodds, Peter G. 5 Emch, Gerard G. 5 Høegh-Krohn, Raphael J. 5 Jaffe, Arthur Michael 5 Khrennikov, Andreĭ Yur’evich 5 Komech, Alexander Ilich 5 Kree, Paul 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 Shultz, Frederic W. 5 Sternheimer, Daniel 5 Størmer, Erling 4 Alfsen, Erik M. 4 Antoniou, Ioannis E. 4 Araki, Huzihiro 4 Bachelot, Alain 4 Bagarello, Fabio 4 Beltiţă, Daniel 4 Burzlaff, Jürgen 4 Choustova, Olga 4 Comech, Andrew 4 Doebner, Heinz-Dietrich 4 Doplicher, Sergio 4 Driver, Bruce K. 4 Feldman, Jacob 4 Fisher, Michael J. 4 Gan, Zaihui 4 Goodman, Roe W. 4 Guido, Daniele 4 Hiai, Fumio ...and 1,631 more Authors
all top 5

#### Cited in 283 Serials

 213 Journal of Functional Analysis 120 Communications in Mathematical Physics 118 Journal of Mathematical Physics 94 Transactions of the American Mathematical Society 65 Journal of Mathematical Analysis and Applications 44 Proceedings of the American Mathematical Society 40 Bulletin of the American Mathematical Society 33 Tohoku Mathematical Journal. Second Series 32 International Journal of Theoretical Physics 32 Mathematische Annalen 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 20 Advances in Mathematics 20 Integral Equations and Operator Theory 19 Archive for Rational Mechanics and Analysis 18 Letters in Mathematical Physics 17 Reports on Mathematical Physics 17 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 14 Reviews in Mathematical Physics 14 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 14 Journal of Mathematical Sciences (New York) 13 Israel Journal of Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Theoretical and Mathematical Physics 13 Acta Mathematica 13 Annales de l’Institut Fourier 13 Nonlinear Analysis. Theory, Methods & Applications 12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 12 Linear Algebra and its Applications 12 Bulletin of the American Mathematical Society. New Series 11 Acta Applicandae Mathematicae 10 Mathematical Notes 10 Journal of Geometry and Physics 10 Journal of Multivariate Analysis 10 Kodai Mathematical Seminar Reports 10 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 9 Nuclear Physics. B 9 Inventiones Mathematicae 9 Mathematische Nachrichten 9 Annals of Physics 9 Positivity 8 Journal d’Analyse Mathématique 8 Rocky Mountain Journal of Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Bulletin de la Société Mathématique de France 7 Foundations of Physics 6 General Relativity and Gravitation 6 Mathematical Methods in the Applied Sciences 6 Ukrainian Mathematical Journal 6 Arkiv för Matematik 6 Russian Mathematics 6 Physical Review, II. Series 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 Topology and its Applications 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Discrete and Continuous Dynamical Systems 5 Annales Henri Poincaré 5 Journal of Hyperbolic Differential Equations 4 Applicable Analysis 4 Journal of Statistical Physics 4 Studia Mathematica 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Acta Mathematica Hungarica 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 Lobachevskii Journal of Mathematics 4 Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Geometric Methods in Modern Physics 4 Mediterranean Journal of Mathematics 4 Il Nuovo Cimento, X. Series 4 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 4 Il Nuovo Cimento, X. Series, A 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications ...and 183 more Serials
all top 5

#### Cited in 58 Fields

 533 Functional analysis (46-XX) 425 Quantum theory (81-XX) 396 Partial differential equations (35-XX) 331 Operator theory (47-XX) 152 Topological groups, Lie groups (22-XX) 138 Probability theory and stochastic processes (60-XX) 96 Differential geometry (53-XX) 93 Abstract harmonic analysis (43-XX) 85 Measure and integration (28-XX) 80 Global analysis, analysis on manifolds (58-XX) 74 Nonassociative rings and algebras (17-XX) 50 Relativity and gravitational theory (83-XX) 42 Statistical mechanics, structure of matter (82-XX) 41 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 23 Mechanics of particles and systems (70-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 20 Mechanics of deformable solids (74-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Systems theory; control (93-XX) 18 Associative rings and algebras (16-XX) 17 Group theory and generalizations (20-XX) 16 History and biography (01-XX) 16 Mathematical logic and foundations (03-XX) 16 Integral transforms, operational calculus (44-XX) 15 Integral equations (45-XX) 14 Statistics (62-XX) 14 Numerical analysis (65-XX) 14 Information and communication theory, circuits (94-XX) 13 Special functions (33-XX) 13 Fluid mechanics (76-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Algebraic topology (55-XX) 10 General and overarching topics; collections (00-XX) 10 Functions of a complex variable (30-XX) 9 Category theory; homological algebra (18-XX) 9 Manifolds and cell complexes (57-XX) 8 Number theory (11-XX) 8 Real functions (26-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Approximations and expansions (41-XX) 7 General topology (54-XX) 6 Optics, electromagnetic theory (78-XX) 5 Geometry (51-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Commutative algebra (13-XX) 3 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.