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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: 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
337 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 Proceedings of Symposia in Pure Mathematics
1 Princeton Series in Physics

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 2,462 times in 1,880 Documents Cited by Year
A non-commutative extension of abstract integration. Zbl 0051.34201
Segal, I. E.
320
1953
Non-linear semi-groups. Zbl 0204.16004
Segal, I.
227
1963
A class of operator algebras which are determined by groups. Zbl 0045.38601
Segal, I. E.
107
1951
Tensor algebras over Hilbert spaces. I. Zbl 0070.34003
Segal, I. E.
102
1956
Postulates for general quantum mechanics. Zbl 0034.06602
Segal, I. E.
100
1947
Irreducible representations of operator algebras. Zbl 0031.36001
Segal, I. E.
78
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.
70
1963
Equivalences of measure spaces. Zbl 0042.35502
Segal, I. E.
68
1951
Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804
Segal, I. E.
59
1962
Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104
Segal, I. E.
58
1958
Introduction to algebraic and constructive quantum field theory. Zbl 0760.46061
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
57
1992
Dispersion for non-linear relativistic equations. II. Zbl 0179.42302
Segal, I.
57
1968
The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403
Segal, I. E.
54
1963
Construction of nonlinear local quantum processes. I. Zbl 0213.40904
Segal, Irving
51
1970
The group algebra of a locally compact group. Zbl 0032.02901
Segal, I. E.
48
1947
Tensor algebras over Hilbert spaces. II. Zbl 0073.09403
Segal, I. E.
48
1956
Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002
Segal, I. E.
45
1963
Quantization of nonlinear systems. Zbl 0099.22402
Segal, I. E.
43
1960
The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027
Segal, Irving
36
1979
Decompositions of operator algebras. I. Zbl 0043.11505
Segal, I. E.
31
1951
The global Goursat problem and scattering for nonlinear wave equations. Zbl 0724.35105
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang
30
1990
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502
Segal, I. E.
29
1950
Space-time decay for solutions of wave equations. Zbl 0344.35058
Segal, Irving
28
1976
Algebraic integration theory. Zbl 0135.17402
Segal, I.
27
1965
Analysis in space-time bundles. I: General considerations and the scalar bundle. Zbl 0535.58019
Paneitz, Stephen M.; Segal, Irving E.
27
1982
Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301
Segal, I. E.
26
1954
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I. Zbl 0085.21806
Segal, I. E.
24
1959
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104
Segal, I. E.
24
1961
Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202
Segal, I. E.
23
1953
The complex-wave representation of the free Boson field. Zbl 0471.22024
Segal, I. E.
22
1978
Causality and analyticity. Zbl 0064.36805
Fourès, Y.; Segal, I. E.
20
1955
The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009
Segal, Wiliam; Segal, I. E.
20
1998
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.
20
1969
Nonlinear functions of weak processes. I. Zbl 0187.39201
Segal, I.
19
1969
Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201
Segal, I. E.; Goodman, R. W.
17
1965
An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601
Segal, I.
17
1967
The structure of a class of representations of the unitary group on a Hilbert space. Zbl 0078.29301
Segal, I. E.
17
1957
Hypermaximality of certain operators on Lie groups. Zbl 0049.35704
Segal, 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 0162.57801
Segal, I.
16
1967
The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103
Segal, I. E.
15
1950
Decompositions of operator algebras. II: Multiplicity theory. Zbl 0043.11601
Segal, I. E.
14
1951
Nonlinear functions of weak processes. II. Zbl 0202.42201
Segal, I.
14
1970
Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001
Segal, Irving E.; Kunze, Ray A.
14
1978
Ergodic subgroups of the orthogonal group on a real Hilbert space. Zbl 0083.10603
Segal, I. E.
13
1957
Quantized differential forms. Zbl 0162.40602
Segal, I.
13
1968
Integrals and operations (McGraw-Hill Series in Higher Mathematics). 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
A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901
Segal, I. E.; von Neumann, John
12
1950
Direct formulation of causality requirements on the \(S\) operator. Zbl 0083.43702
Segal, I. E.
11
1958
A note on the concept of entropy. Zbl 0223.94001
Segal, I. E.
11
1960
Two sided ideals in operator algebras. Zbl 0034.37102
Segal, I. E.
10
1949
The span of the translation of a function in a Lebesgue space. Zbl 0063.06859
Segal, I. E.
10
1944
Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902
Segal, I. E.
10
1965
Construction of non-linear local quantum processes. II. Zbl 0221.47023
Segal, Irving
10
1971
Quantization of wave equations and hermitian structures in partial differential varieties. Zbl 0469.35065
Paneitz, S. M.; Segal, I. E.
10
1980
Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020
Paneitz, Stephen M.; Segal, Irving E.
10
1982
The Yang-Mills equations on the universal cosmos. Zbl 0535.58022
Choquet-Bruhat, Y.; Paneitz, S. M.; Segal, I. E.
10
1983
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0041.36312
Segal, I. E.
9
1950
Explicit formal construction of nonlinear quantum fields. Zbl 0136.47103
Segal, I. E.
9
1964
Semi-groups of operators and the Weierstrass theorem. Zbl 0061.25307
Dunford, Nelson; Segal, I. E.
8
1946
Convergence of quantum electrodynamics in a curved deformation of Minkowski space. Zbl 0801.53069
Segal, I. E.; Zhou, Z.
8
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.
8
1987
The group ring of a locally compact group. I. Zbl 0063.06858
Segal, I. E.
7
1941
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
Differential operators in the manifold of solutions of a non-linear differential equation. Zbl 0139.09202
Segal, I.
7
1965
Transformations in Wiener space and squares of quantum fields. Zbl 0206.26603
Segal, I.
7
1970
Causally oriented manifolds and groups. Zbl 0242.53009
Segal, Irving
7
1971
A theorem on the measurability of group-invariant operators. Zbl 0092.32104
Segal, I. E.
6
1959
Reduction of scattering to an invariant finite displacement in an ambient space-time. Zbl 0571.58026
Segal, I. E.
5
1984
Singular perturbations in the interaction representation. Zbl 0454.47014
Hughes, Rhonda J.; Segal, Irving E.
5
1980
Invariant measures on locally compact spaces. Zbl 0034.37101
Segal, I. E.
4
1949
Topological groups in which multiplication of one side is differentiable. Zbl 0061.04411
Segal, I. E.
4
1946
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
Convergence of nonlinear massive quantum field theory in the Einstein universe. Zbl 0875.53017
Segal, I. E.; Zhou, Z.
4
1992
A pilot model in two dimensions for conformally invariant particle theory. Zbl 0704.55011
Ørsted, B.; Segal, I. E.
4
1989
General properties of the Yang-Mills equations in physical space. Zbl 0394.35095
Segal, I. E.
4
1978
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
A theorem on unitary representations of semisimple Lie groups. Zbl 0041.36313
Segal, I. E.; von Neumann, John
3
1950
Real spinor fields and the electroweak interaction. Zbl 0912.53059
Segal, Irving
3
1998
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
Quantization of the de Rham complex. Zbl 0214.49001
Segal, I. E.
3
1970
Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023
Choquet-Bruhat, Yvonne; Segal, Irving E.
3
1982
The automorphisms of the symmetric group. Zbl 0061.03301
Segal, Irving E.
2
1940
Spinor currents as vector particles. Zbl 0912.53060
Segal, Irving; Vogan, David A. jun.; Zhou, Zhengfang
2
1998
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation. Zbl 0599.58007
Segal, Irving E.
2
1986
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
Quantization of symplectic transformations. Zbl 0471.46052
Segal, Irving
2
1981
Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Zbl 0516.46053
Paneitz, S. M.; Segal, I. E.
2
1983
Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028
Segal, Irving
2
1974
Field quantization. Zbl 1063.81607
Segal, I. E.
2
1981
The mathematical meaning of operationalism in quantum mechanics. Zbl 0087.42801
Segal, I. E.
1
1959
Alternative space-times and the physics of extreme distances. Zbl 0561.53070
Segal, I. E.
1
1984
Global theory of nonlinear wave equations. Zbl 0632.35043
Segal, I. E.
1
1986
Singular perturbations of semi-group generators. Zbl 0257.47026
Segal, Irving
1
1972
Fiducial distribution of several parameters with application to a normal system. Zbl 0018.15703
Segal, Irving E.
1
1938
\(C^*\)-algebras and quantization. Zbl 0853.46069
Segal, Irving
1
1994
The automorphisms of the symmetric group. JFM 66.0083.04
Segal, I. E.
1
1940
Local non-linear functions of quantum fields. Zbl 0245.46105
Segal, Irving
1
1970
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
The Black-Scholes pricing formula in the quantum context. Zbl 0903.90009
Segal, Wiliam; Segal, I. E.
20
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
57
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
30
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.
8
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.
10
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.
27
1982
Analysis in space-time bundles. II: The spinor and form bundles. Zbl 0535.58020
Paneitz, Stephen M.; Segal, Irving E.
10
1982
Solution globale des équations de Yang-Mills sur l’univers d’Einstein. Zbl 0501.58023
Choquet-Bruhat, Yvonne; Segal, Irving E.
3
1982
Particle theory and global geometry. Zbl 0538.53070
Segal, I. E.
1
1982
Quantization of symplectic transformations. Zbl 0471.46052
Segal, Irving
2
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.
10
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.
1
1980
The Cauchy problem for the Yang-Mills equations. Zbl 0416.58027
Segal, Irving
36
1979
The complex-wave representation of the free Boson field. Zbl 0471.22024
Segal, I. E.
22
1978
Integrals and operators. 2nd rev. and enl. ed. Zbl 0373.28001
Segal, Irving E.; Kunze, Ray A.
14
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
28
1976
Symplectic structures and the quantization problem for wave equations. Zbl 0328.53028
Segal, Irving
2
1974
Singular perturbations of semi-group generators. Zbl 0257.47026
Segal, Irving
1
1972
Construction of non-linear local quantum processes. II. Zbl 0221.47023
Segal, Irving
10
1971
Causally oriented manifolds and groups. Zbl 0242.53009
Segal, Irving
7
1971
Non-linear quantum processes and automorphism groups of \(C^ *\)-algebras. Zbl 0233.46077
Segal, I. E.
1
1971
Construction of nonlinear local quantum processes. I. Zbl 0213.40904
Segal, Irving
51
1970
Nonlinear functions of weak processes. II. Zbl 0202.42201
Segal, I.
14
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.
3
1970
Local non-linear functions of quantum fields. Zbl 0245.46105
Segal, Irving
1
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.
20
1969
Nonlinear functions of weak processes. I. Zbl 0187.39201
Segal, I.
19
1969
Dispersion for non-linear relativistic equations. II. Zbl 0179.42302
Segal, I.
57
1968
Quantized differential forms. Zbl 0162.40602
Segal, I.
13
1968
Integrals and operations (McGraw-Hill Series in Higher Mathematics). Zbl 0177.30302
Segal, I. E.; Kunze, R.
13
1968
Non-linear relativistic partial differential equations. Zbl 0204.41701
Segal, I. E.
1
1968
An extension of a theorem of L. O’Raifeartaigh. Zbl 0168.23601
Segal, I.
17
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.
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 0135.17402
Segal, I.
27
1965
Anti-locality of certain Lorentz-invariant operators. Zbl 0151.44201
Segal, I. E.; Goodman, R. W.
17
1965
Nonlinear partial differential equations in quantum field theory. Zbl 0152.23902
Segal, I. E.
10
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.
9
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.
227
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.
70
1963
The global Cauchy problem for a relativistic scalar field with power interaction. Zbl 0178.45403
Segal, I. E.
54
1963
Transforms for operators and symplectic automorphisms over a locally compact Abelian group. Zbl 0208.39002
Segal, I. E.
45
1963
Mathematical characterization of the physical vacuum for a linear Bose- Einstein field. Zbl 0106.42804
Segal, I. E.
59
1962
Foundations of the theory of dynamical systems of infinitely many degrees of freedom. II. Zbl 0098.22104
Segal, I. E.
24
1961
Quantization of nonlinear systems. Zbl 0099.22402
Segal, I. E.
43
1960
A note on the concept of entropy. Zbl 0223.94001
Segal, I. E.
11
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.
24
1959
A theorem on the measurability of group-invariant operators. Zbl 0092.32104
Segal, I. E.
6
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.
1
1959
Distributions in Hilbert space and canonical systems of operators. Zbl 0099.12104
Segal, I. E.
58
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.
17
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.
102
1956
Tensor algebras over Hilbert spaces. II. Zbl 0073.09403
Segal, I. E.
48
1956
Causality and analyticity. Zbl 0064.36805
Fourès, Y.; Segal, I. E.
20
1955
Abstract probability spaces and a theorem of Kolmogoroff. Zbl 0056.12301
Segal, I. E.
26
1954
A non-commutative extension of abstract integration. Zbl 0051.34201
Segal, I. E.
320
1953
Correction to ”A non-commutative extension of abstract integration”. Zbl 0051.34202
Segal, I. E.
23
1953
Hypermaximality of certain operators on Lie groups. Zbl 0049.35704
Segal, I. E.
16
1952
A class of operator algebras which are determined by groups. Zbl 0045.38601
Segal, I. E.
107
1951
Equivalences of measure spaces. Zbl 0042.35502
Segal, I. E.
68
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.
14
1951
Decompositions of operator algebras I and II. Zbl 1415.46005
Segal, Irving Ezra
1
1951
An extension of Plancherel’s formula to separable unimodular groups. Zbl 0045.38502
Segal, I. E.
29
1950
The two-sided regular representation of a unimodular locally compact group. Zbl 0039.02103
Segal, I. E.
15
1950
The class of functions which are absolutely convergent Fourier transforms. Zbl 0036.20501
Segal, I. E.
12
1950
A theorem on unitary representations of semisimple Lie groups. Zbl 0045.30901
Segal, I. E.; von Neumann, John
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
3
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.
100
1947
Irreducible representations of operator algebras. Zbl 0031.36001
Segal, I. E.
78
1947
The group algebra of a locally compact group. Zbl 0032.02901
Segal, I. E.
48
1947
Semi-groups of operators and the Weierstrass theorem. Zbl 0061.25307
Dunford, Nelson; Segal, I. E.
8
1946
...and 6 more Documents
all top 5

Cited by 1,716 Authors

30 Segal, Irving Ezra
28 Jørgensen, Palle E. T.
28 Sukochev, Fedor Anatol’evich
25 Bikchentaev, Aĭrat Midkhatovich
19 Albeverio, Sergio A.
16 Gross, Leonard
15 Chilin, Vladimir Ivanovich
15 Umegaki, Hisaharu
14 Baez, John C.
13 Chadam, John M.
12 Ayupov, Shavkat Abdullaevich
12 Ber, Aleksey Feliksovich
12 Glassey, Robert T.
12 Kudaĭbergenov, Karimbergen Kadirbergenovich
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 Streater, Raymond F.
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 Simon, Barry
8 Trapani, Camillo
8 Triolo, Salvatore
7 Aliev, Akbar B.
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 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
4 Driver, Bruce K.
...and 1,616 more Authors
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Cited in 300 Serials

204 Journal of Functional Analysis
126 Communications in Mathematical Physics
118 Journal of Mathematical Physics
94 Transactions of the American Mathematical Society
53 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
20 Advances in Mathematics
20 Integral Equations and Operator Theory
19 Archive for Rational Mechanics and Analysis
19 Letters in Mathematical Physics
15 Reports on Mathematical Physics
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
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 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 Ukrainian Mathematical Journal
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Bulletin de la Société Mathématique de France
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 Journal of Hyperbolic Differential Equations
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 Differential Equations
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 International Journal of Geometric Methods in Modern Physics
...and 200 more Serials
all top 5

Cited in 58 Fields

560 Functional analysis (46-XX)
426 Quantum theory (81-XX)
399 Partial differential equations (35-XX)
341 Operator theory (47-XX)
153 Topological groups, Lie groups (22-XX)
140 Probability theory and stochastic processes (60-XX)
96 Abstract harmonic analysis (43-XX)
95 Differential geometry (53-XX)
88 Measure and integration (28-XX)
78 Nonassociative rings and algebras (17-XX)
76 Global analysis, analysis on manifolds (58-XX)
50 Relativity and gravitational theory (83-XX)
49 Dynamical systems and ergodic theory (37-XX)
46 Statistical mechanics, structure of matter (82-XX)
36 Ordinary differential equations (34-XX)
25 Associative rings and algebras (16-XX)
25 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)
19 History and biography (01-XX)
19 Several complex variables and analytic spaces (32-XX)
18 Group theory and generalizations (20-XX)
18 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 Numerical analysis (65-XX)
12 Special functions (33-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 Algebraic topology (55-XX)
10 Category theory; homological algebra (18-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Manifolds and cell complexes (57-XX)
9 Functions of a complex variable (30-XX)
8 General and overarching topics; collections (00-XX)
8 Number theory (11-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 Algebraic geometry (14-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Convex and discrete geometry (52-XX)
3 Operations research, mathematical programming (90-XX)
2 Potential theory (31-XX)
1 Combinatorics (05-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 Mathematics education (97-XX)

Citations by Year

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