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Author ID: segal.irving-ezra Recent zbMATH articles by "Segal, Irving Ezra"
Published as: Segal, I. E.; Segal, Irving; Segal, I.; Segal, Irving E.; Segal, Irving Ezra; Segal, I.-E.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 129 Publications since 1938, including 6 Books
3 Contributions as Editor · 1 Further Contribution
Biographic References: 4 Publications
Co-Authors: 15 Co-Authors with 28 Joint Publications
360 Co-Co-Authors
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 Lectures in Applied Mathematics
1 Proceedings of Symposia in Pure Mathematics
1 Pure and Applied Mathematics (Academic Press)
1 Princeton Series in Physics

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 2,962 times in 2,240 Documents Cited by Year
A non-commutative extension of abstract integration. Zbl 0051.34201
Segal, I. E.
356
1953
Non-linear semi-groups. Zbl 0204.16004
Segal, I.
298
1963
A class of operator algebras which are determined by groups. Zbl 0045.38601
Segal, I. E.
125
1951
Postulates for general quantum mechanics. Zbl 0034.06602
Segal, I. E.
121
1947
Tensor algebras over Hilbert spaces. I. Zbl 0070.34003
Segal, I. E.
116
1956
Irreducible representations of operator algebras. Zbl 0031.36001
Segal, I. E.
99
1947
Mathematical problems of relativistic physics. With an appendix on group representations in Hilbert space by George W. Mackey. Zbl 0112.45307
Segal, Irving E.
94
1963
Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
74
1992
Equivalences of measure spaces. Zbl 0042.35502
Segal, I. E.
74
1951
Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804
Segal, I. E.
66
1962
Dispersion for non-linear relativistic equations. II. Zbl 0179.42302
Segal, I.
63
1968
The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403
Segal, I. E.
62
1963
Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104
Segal, I. E.
60
1958
Construction of nonlinear local quantum processes. I. Zbl 0213.40904
Segal, Irving
57
1970
Tensor algebras over Hilbert spaces. II. Zbl 0073.09403
Segal, I. E.
55
1956
Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002
Segal, I. E.
50
1963
Quantization of nonlinear systems. Zbl 0099.22402
Segal, I. E.
50
1960
Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902
Segal, I. E.
49
1965
The group algebra of a locally compact group. Zbl 0032.02901
Segal, I. E.
48
1947
The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027
Segal, Irving
43
1979
Space-time decay for solutions of wave equations. Zbl 0344.35058
Segal, Irving
41
1976
Mathematical cosmology and extragalactic astronomy. Zbl 1515.83003
Segal, Irving Ezra
37
1976
The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
33
1990
Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019
Paneitz, Stephen M.; Segal, Irving E.
31
1982
Decompositions of operator algebras. I. Zbl 0043.11505
Segal, I. E.
31
1951
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502
Segal, I. E.
31
1950
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104
Segal, I. E.
31
1961
Algebraic integration theory. Zbl 0135.17402
Segal, I.
30
1965
The complex-wave representation of the free Boson field. Zbl 0471.22024
Segal, I. E.
29
1978
Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301
Segal, I. E.
29
1954
Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001
Segal, Irving E.; Kunze, Ray A.
26
1978
Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202
Segal, I. E.
25
1953
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806
Segal, I. E.
25
1959
Causality and analyticity. Zbl 0064.36805
Fourès, Y.; Segal, I. E.
23
1955
The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009
Segal, Wiliam; Segal, I. E.
22
1998
Nonlinear functions of weak processes. I. Zbl 0187.39201
Segal, I.
22
1969
Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201
Segal, I. E.; Goodman, R. W.
21
1965
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.
21
1969
A note on the concept of entropy. Zbl 0223.94001
Segal, I. E.
21
1960
The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301
Segal, I. E.
18
1957
An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601
Segal, 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 0162.57801
Segal, I.
18
1967
Hypermaximality of certain operators on Lie groups. Zbl 0049.35704
Segal, I. E.
17
1952
Quantized differential forms. Zbl 0162.40602
Segal, I.
16
1968
Nonlinear functions of weak processes. II. Zbl 0202.42201
Segal, I.
16
1970
Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020
Paneitz, Stephen M.; Segal, Irving E.
15
1982
The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103
Segal, I. E.
15
1950
The Yang-Mills equations on the universal cosmos. Zbl 0535.58022
Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E.
13
1983
A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901
Segal, I. E.; von Neumann, John
13
1950
Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603
Segal, I. E.
13
1957
Integrals and operations. Zbl 0177.30302
Segal, I. E.; Kunze, R.
13
1968
The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501
Segal, I. E.
12
1950
Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601
Segal, I. E.
12
1951
Construction of non-linear local quantum processes. II. Zbl 0221.47023
Segal, Irving
12
1971
Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065
Paneitz, S. M.; Segal, I. E.
11
1980
Direct formulation of causality requirements on the \(S\) operator. Zbl 0083.43702
Segal, I. E.
11
1958
Two sided ideals in operator algebras. Zbl 0034.37102
Segal, I. E.
10
1949
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.
10
1987
The span of the translation of a function in a Lebesgue space. Zbl 0063.06859
Segal, I. E.
10
1944
Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103
Segal, I. E.
10
1964
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312
Segal, I. E.
9
1950
Semi-groups of operators and the Weierstrass theorem. Zbl 0061.25307
Dunford, Nelson; Segal, I. E.
9
1946
Singular perturbations of semi-group generators. Zbl 0257.47026
Segal, Irving
9
1972
Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023
Choquet-Bruhat, Yvonne; Segal, Irving E.
8
1982
Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069
Segal, I. E.; Zhou, Z.
8
1994
Causally oriented manifolds and groups. Zbl 0242.53009
Segal, Irving
8
1971
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.
7
1991
A theorem on the measurability of group-invariant operators. Zbl 0092.32104
Segal, I. E.
7
1959
Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603
Segal, I.
7
1970
The group ring of a locally compact group. I. Zbl 0063.06858
Segal, I. E.
7
1941
Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202
Segal, I.
7
1965
A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313
Segal, I. E.; von Neumann, John
6
1950
Singular perturbations in the interaction representation. Zbl 0454.47014
Hughes, Rhonda J.; Segal, Irving E.
5
1980
Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028
Segal, Irving
5
1974
Quantization of symplectic transformations. Zbl 0471.46052
Segal, Irving
5
1981
Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026
Segal, I. E.
5
1984
Quantization of the de Rham complex. Zbl 0214.49001
Segal, I. E.
5
1970
General properties of the Yang-Mills equations in physical space. Zbl 0394.35095
Segal, I. E.
4
1978
A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011
Ørsted, B.; Segal, I. E.
4
1989
Invariant measures on locally compact spaces. Zbl 0034.37101
Segal, I. E.
4
1949
The automorphisms of the symmetric group. Zbl 0061.03301
Segal, Irving E.
4
1940
Topological groups in which multiplication of one side is differentiable. Zbl 0061.04411
Segal, I. E.
4
1946
Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017
Segal, I. E.; Zhou, Z.
4
1992
Nonlinear quantum fields in \(\geq 4\) dimensions and cohomology of the infinite Heisenberg group. Zbl 0803.46086
Pedersen, J.; Segal, I. E.; Zhou, Z.
4
1994
Real spinor fields and the electroweak interaction. Zbl 0912.53059
Segal, Irving
3
1998
Caractérisation mathématique des observables en théorie quantique des champs et ses conséquences pour la structure des particules libres. Zbl 0090.19503
Segal, I.-E.
3
1959
Non-linear relativistic partial differential equations. Zbl 0204.41701
Segal, I. E.
3
1968
Quasi-finiteness of the interaction Hamiltonian of certain quantum fields. Zbl 0128.22103
Segal, I. E.
3
1960
Infinite-dimensional irreducible representations of compact semisimple groups. Zbl 0128.35602
Segal, I. E.
3
1964
Local noncommutative analysis. Zbl 0215.20001
Segal, I.
3
1970
Stability theory and quantization. Zbl 0467.58011
Segal, I. E.
2
1980
Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053
Paneitz, S. M.; Segal, I. E.
2
1983
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007
Segal, Irving E.
2
1986
Spinor currents as vector particles. Zbl 0912.53060
Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang
2
1998
Decompositions of operator algebras I and II. Zbl 1415.46005
Segal, Irving Ezra
2
1951
Field quantization. Zbl 1063.81607
Segal, I. E.
2
1981
The mathematical meaning of operationalism in quantum mechanics. Zbl 0087.42801
Segal, I. E.
2
1959
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
Non-linear quantum processes and automorphism groups of \(C^*\)-algebras. Zbl 0233.46077
Segal, I. E.
2
1971
Alternative space-times and the physics of extreme distances. Zbl 0561.53070
Segal, I. E.
1
1984
The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009
Segal, Wiliam; Segal, I. E.
22
1998
Real spinor fields and the electroweak interaction. Zbl 0912.53059
Segal, Irving
3
1998
Spinor currents as vector particles. Zbl 0912.53060
Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang
2
1998
Constructive nonlinear quantum field theory in four space-time dimensions. Zbl 0896.46052
Segal, Irving
1
1998
Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069
Segal, I. E.; Zhou, Z.
8
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.
4
1994
\(C^*\)-algebras and quantization. Zbl 0853.46069
Segal, Irving
1
1994
Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
74
1992
Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017
Segal, I. E.; Zhou, Z.
4
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.
7
1991
The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
33
1990
A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011
Ørsted, 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 0682.58022
Paneitz, S. M.; Segal, I. E.; Vogan, D. A. jun.
10
1987
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007
Segal, Irving E.
2
1986
Global theory of nonlinear wave equations. Zbl 0632.35043
Segal, I. E.
1
1986
Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026
Segal, I. E.
5
1984
Alternative space-times and the physics of extreme distances. Zbl 0561.53070
Segal, I. E.
1
1984
The Yang-Mills equations on the universal cosmos. Zbl 0535.58022
Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E.
13
1983
Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053
Paneitz, S. M.; Segal, I. E.
2
1983
Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019
Paneitz, Stephen M.; Segal, Irving E.
31
1982
Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020
Paneitz, Stephen M.; Segal, Irving E.
15
1982
Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023
Choquet-Bruhat, Yvonne; Segal, Irving E.
8
1982
Particle theory and global geometry. Zbl 0538.53070
Segal, I. E.
1
1982
Quantization of symplectic transformations. Zbl 0471.46052
Segal, Irving
5
1981
Field quantization. Zbl 1063.81607
Segal, I. E.
2
1981
Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065
Paneitz, S. M.; Segal, I. E.
11
1980
Singular perturbations in the interaction representation. Zbl 0454.47014
Hughes, Rhonda J.; Segal, Irving E.
5
1980
Stability theory and quantization. Zbl 0467.58011
Segal, I. E.
2
1980
The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027
Segal, Irving
43
1979
The complex-wave representation of the free Boson field. Zbl 0471.22024
Segal, I. E.
29
1978
Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001
Segal, Irving E.; Kunze, Ray A.
26
1978
General properties of the Yang-Mills equations in physical space. Zbl 0394.35095
Segal, I. E.
4
1978
Space-time decay for solutions of wave equations. Zbl 0344.35058
Segal, Irving
41
1976
Mathematical cosmology and extragalactic astronomy. Zbl 1515.83003
Segal, Irving Ezra
37
1976
Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028
Segal, Irving
5
1974
Singular perturbations of semi-group generators. Zbl 0257.47026
Segal, Irving
9
1972
Construction of non-linear local quantum processes. II. Zbl 0221.47023
Segal, Irving
12
1971
Causally oriented manifolds and groups. Zbl 0242.53009
Segal, Irving
8
1971
Non-linear quantum processes and automorphism groups of \(C^*\)-algebras. Zbl 0233.46077
Segal, I. E.
2
1971
Construction of nonlinear local quantum processes. I. Zbl 0213.40904
Segal, Irving
57
1970
Nonlinear functions of weak processes. II. Zbl 0202.42201
Segal, I.
16
1970
Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603
Segal, I.
7
1970
Quantization of the de Rham complex. Zbl 0214.49001
Segal, I. E.
5
1970
Local noncommutative analysis. Zbl 0215.20001
Segal, I.
3
1970
The mathematical theory of quantum fields. Zbl 0201.58101
Segal, I. E.
1
1970
Local non-linear functions of quantum fields. Zbl 0245.46105
Segal, Irving
1
1970
Nonlinear functions of weak processes. I. Zbl 0187.39201
Segal, I.
22
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 0196.28005
Segal, I.
21
1969
Dispersion for non-linear relativistic equations. II. Zbl 0179.42302
Segal, I.
63
1968
Quantized differential forms. Zbl 0162.40602
Segal, I.
16
1968
Integrals and operations. Zbl 0177.30302
Segal, I. E.; Kunze, R.
13
1968
Non-linear relativistic partial differential equations. Zbl 0204.41701
Segal, I. E.
3
1968
An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601
Segal, 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 0162.57801
Segal, I.
18
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
Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902
Segal, I. E.
49
1965
Algebraic integration theory. Zbl 0135.17402
Segal, I.
30
1965
Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201
Segal, I. E.; Goodman, R. W.
21
1965
Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202
Segal, I.
7
1965
Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103
Segal, I. E.
10
1964
Infinite-dimensional irreducible representations of compact semisimple groups. Zbl 0128.35602
Segal, 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 0204.16004
Segal, I.
298
1963
Mathematical problems of relativistic physics. With an appendix on group representations in Hilbert space by George W. Mackey. Zbl 0112.45307
Segal, Irving E.
94
1963
The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403
Segal, I. E.
62
1963
Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002
Segal, I. E.
50
1963
Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804
Segal, I. E.
66
1962
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104
Segal, I. E.
31
1961
Quantization of nonlinear systems. Zbl 0099.22402
Segal, I. E.
50
1960
A note on the concept of entropy. Zbl 0223.94001
Segal, I. E.
21
1960
Quasi-finiteness of the interaction Hamiltonian of certain quantum fields. Zbl 0128.22103
Segal, I. E.
3
1960
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806
Segal, I. E.
25
1959
A theorem on the measurability of group-invariant operators. Zbl 0092.32104
Segal, I. E.
7
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.
3
1959
The mathematical meaning of operationalism in quantum mechanics. Zbl 0087.42801
Segal, I. E.
2
1959
Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104
Segal, I. E.
60
1958
Direct formulation of causality requirements on the \(S\) operator. Zbl 0083.43702
Segal, I. E.
11
1958
The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301
Segal, I. E.
18
1957
Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603
Segal, I. E.
13
1957
Tensor algebras over Hilbert spaces. I. Zbl 0070.34003
Segal, I. E.
116
1956
Tensor algebras over Hilbert spaces. II. Zbl 0073.09403
Segal, I. E.
55
1956
Causality and analyticity. Zbl 0064.36805
Fourès, Y.; Segal, I. E.
23
1955
Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301
Segal, I. E.
29
1954
A non-commutative extension of abstract integration. Zbl 0051.34201
Segal, I. E.
356
1953
Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202
Segal, I. E.
25
1953
Hypermaximality of certain operators on Lie groups. Zbl 0049.35704
Segal, I. E.
17
1952
A class of operator algebras which are determined by groups. Zbl 0045.38601
Segal, I. E.
125
1951
Equivalences of measure spaces. Zbl 0042.35502
Segal, I. E.
74
1951
Decompositions of operator algebras. I. Zbl 0043.11505
Segal, I. E.
31
1951
Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601
Segal, I. E.
12
1951
Decompositions of operator algebras I and II. Zbl 1415.46005
Segal, Irving Ezra
2
1951
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502
Segal, I. E.
31
1950
The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103
Segal, I. E.
15
1950
A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901
Segal, I. E.; von Neumann, John
13
1950
The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501
Segal, I. E.
12
1950
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312
Segal, I. E.
9
1950
A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313
Segal, I. E.; von Neumann, John
6
1950
Two sided ideals in operator algebras. Zbl 0034.37102
Segal, I. E.
10
1949
Invariant measures on locally compact spaces. Zbl 0034.37101
Segal, I. E.
4
1949
Postulates for general quantum mechanics. Zbl 0034.06602
Segal, I. E.
121
1947
...and 8 more Documents
all top 5

Cited by 2,098 Authors

35 Sukochev, Fedor Anatol’evich
32 Segal, Irving Ezra
31 Jørgensen, Palle E. T.
26 Bikchentaev, Aĭrat Midkhatovich
23 Albeverio, Sergio A.
16 Chilin, Vladimir Ivanovich
16 Gross, Leonard
16 Kudaĭbergenov, Karimbergen Kadirbergenovich
15 Baez, John C.
15 Umegaki, Hisaharu
14 Ber, Aleksey Feliksovich
14 Velo, Giorgio
13 Ayupov, Shavkat Abdullaevich
13 Chadam, John M.
13 Ginibre, Jean
13 Huang, Jinghao
13 Strauss, Walter Alexander
12 Glassey, Robert Thomas
12 Marmo, Giuseppe
12 Paneitz, Stephen M.
11 Hall, Brian C.
11 Hudson, Robin Lyth
11 Nakamura, Masahiro
11 Wilde, Ivan Francis
11 Zhou, Zhengfang
10 Triolo, Salvatore
9 Aliev, Akbar B.
9 Choquet-Bruhat, Yvonne
9 Gudder, Stanley P.
9 Hughes, Rhonda Jo
9 Inoue, Atsushi
9 Marsden, Jerrold Eldon
9 Simon, Barry
9 Streater, Raymond F.
9 Trapani, Camillo
8 Bratteli, Ola
8 Carlen, Eric Anders
8 Komech, Alexander Ilich
8 Litvinov, Semyon N.
8 Rammaha, Mohammad A.
8 Śniatycki, Jędrzej
7 Barnett, Christopher
7 Finkelstein, David Ritz
7 Glimm, James G.
7 González, Benito Juan
7 Junge, Marius
7 Klein, Abel
7 Kosaki, Hideki
7 Matthies, Hermann Georg
7 Negrin, Emilio R.
7 Ørsted, Bent
7 Shale, David
7 Takeda, Zirô
7 Zanin, Dmitriy V.
6 Accardi, Luigi
6 Ali, Liaqat
6 de Pagter, Bernardus
6 Dixmier, Jacques
6 Dudley, Richard Mansfield
6 Kastler, Daniel
6 Kulikov, Anatoliĭ Nikolaevich
6 Kulikov, Dmitriĭ Anatol’evich
6 Mourão, José M.
6 Neeb, Karl-Hermann
6 Said-Houari, Belkacem
6 Saito, Kichisuke
6 Takesaki, Masamichi
6 Turumaru, Takasi
6 Webb, Glenn Francis
6 Ye, Yaojun
5 Arveson, William Barnes
5 Aslam, Muhammad
5 Carey, Alan L.
5 Davies, Edward Brian
5 Deng, Dingwen
5 Dodds, Peter G.
5 Doebner, Heinz-Dietrich
5 Emch, Gerard G.
5 Hiai, Fumio
5 Høegh-Krohn, Raphael J.
5 Jaffe, Arthur Michael
5 Jakobsen, Hans Plesner
5 Khan, Yaqoub Ahmed
5 Kree, Paul
5 Landau, Lawrence J.
5 Levitina, Galina Borisovna
5 Lindsay, J. Martin
5 Liu, Wenjun
5 Łuczak, Andrzej
5 Naumkin, Ivan P.
5 Nicolas, Jean-Philippe
5 Noja, Diego
5 Nunes, João Pedro Vidal
5 Padmanabhan, Appaswamy Ramanathan
5 Piech, M. Ann
5 Pulmannová, Sylvia
5 Robinson, Derek William
5 Sherstnev, Anatolij N.
5 Shultz, Frederic W.
5 Sternheimer, Daniel
...and 1,998 more Authors
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Cited in 357 Serials

223 Journal of Functional Analysis
128 Communications in Mathematical Physics
127 Journal of Mathematical Physics
94 Transactions of the American Mathematical Society
78 Journal of Mathematical Analysis and Applications
46 Proceedings of the American Mathematical Society
45 Reports on Mathematical Physics
40 Bulletin of the American Mathematical Society
34 International Journal of Theoretical Physics
34 Mathematische Annalen
33 Tôhoku Mathematical Journal. Second Series
32 Journal of Differential Equations
26 Mathematische Zeitschrift
26 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 Advances in Mathematics
23 Proceedings of the Japan Academy
21 Letters in Mathematical Physics
21 Integral Equations and Operator Theory
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Annals of Physics
19 Archive for Rational Mechanics and Analysis
19 Nonlinear Analysis. Theory, Methods & Applications
16 Communications in Partial Differential Equations
15 Theoretical and Mathematical Physics
15 Reviews in Mathematical Physics
15 Annales de l’Institut Fourier
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 Journal of Geometry and Physics
14 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
14 Journal of High Energy Physics
13 Israel Journal of Mathematics
13 Acta Mathematica
13 Bulletin of the American Mathematical Society. New Series
12 Nuclear Physics. B
12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
12 Acta Applicandae Mathematicae
12 Linear Algebra and its Applications
11 Mathematical Methods in the Applied Sciences
11 Rocky Mountain Journal of Mathematics
11 Journal of Multivariate Analysis
10 Mathematical Notes
10 Inventiones Mathematicae
10 Mathematische Nachrichten
10 Foundations of Physics
10 Kodai Mathematical Seminar Reports
10 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
9 Functional Analysis and its Applications
9 Positivity
9 Infinite Dimensional Analysis, Quantum Probability and Related Topics
8 Journal d’Analyse Mathématique
8 Ukrainian Mathematical Journal
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Bulletin de la Société Mathématique de France
8 Journal of Soviet Mathematics
8 Siberian Mathematical Journal
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Applicable Analysis
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Discrete and Continuous Dynamical Systems
7 Complex Analysis and Operator Theory
6 General Relativity and Gravitation
6 Physica A
6 Physics Letters. A
6 Studia Mathematica
6 Arkiv för Matematik
6 Applied Mathematics and Computation
6 Journal of Algebra
6 Synthese
6 Topology and its Applications
6 Russian Mathematics
6 Annales Henri Poincaré
6 Differential Equations
6 International Journal of Geometric Methods in Modern Physics
6 Physical Review, II. Series
5 Classical and Quantum Gravity
5 Computers & Mathematics with Applications
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Archiv der Mathematik
5 Czechoslovak Mathematical Journal
5 Manuscripta Mathematica
5 Semigroup Forum
5 Physica D
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Expositiones Mathematicae
5 Indagationes Mathematicae. New Series
5 The Journal of Fourier Analysis and Applications
5 Doklady Mathematics
5 Acta Mathematica Sinica. English Series
5 Lobachevskii Journal of Mathematics
5 Communications on Pure and Applied Analysis
5 Journal of Hyperbolic Differential Equations
5 Mediterranean Journal of Mathematics
5 Journal of Physics A: Mathematical and Theoretical
5 Banach Journal of Mathematical Analysis
4 Journal of Statistical Physics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
...and 257 more Serials
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Cited in 62 Fields

636 Functional analysis (46-XX)
542 Quantum theory (81-XX)
522 Partial differential equations (35-XX)
396 Operator theory (47-XX)
188 Topological groups, Lie groups (22-XX)
161 Probability theory and stochastic processes (60-XX)
125 Differential geometry (53-XX)
112 Abstract harmonic analysis (43-XX)
102 Measure and integration (28-XX)
96 Global analysis, analysis on manifolds (58-XX)
93 Nonassociative rings and algebras (17-XX)
71 Dynamical systems and ergodic theory (37-XX)
66 Relativity and gravitational theory (83-XX)
61 Statistical mechanics, structure of matter (82-XX)
47 Ordinary differential equations (34-XX)
37 Numerical analysis (65-XX)
36 Harmonic analysis on Euclidean spaces (42-XX)
34 Associative rings and algebras (16-XX)
34 Mechanics of particles and systems (70-XX)
28 Systems theory; control (93-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
26 Several complex variables and analytic spaces (32-XX)
25 Group theory and generalizations (20-XX)
25 Mechanics of deformable solids (74-XX)
24 Integral transforms, operational calculus (44-XX)
23 History and biography (01-XX)
22 Information and communication theory, circuits (94-XX)
21 Statistics (62-XX)
21 Fluid mechanics (76-XX)
20 Mathematical logic and foundations (03-XX)
18 Functions of a complex variable (30-XX)
18 Integral equations (45-XX)
15 Category theory; homological algebra (18-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Special functions (33-XX)
13 General and overarching topics; collections (00-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
12 Real functions (26-XX)
12 Manifolds and cell complexes (57-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Algebraic topology (55-XX)
11 Optics, electromagnetic theory (78-XX)
10 Number theory (11-XX)
10 General topology (54-XX)
7 Approximations and expansions (41-XX)
7 Geometry (51-XX)
6 Algebraic geometry (14-XX)
6 Biology and other natural sciences (92-XX)
5 Convex and discrete geometry (52-XX)
5 Computer science (68-XX)
4 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 Potential theory (31-XX)
3 Combinatorics (05-XX)
3 Difference and functional equations (39-XX)
3 Astronomy and astrophysics (85-XX)
3 Operations research, mathematical programming (90-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

Citations by Year

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