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- Irving E. Segal

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
7,589
124
World Ranking
2316
National Ranking
978

1973 - Member of the National Academy of Sciences

1967 - Fellow of John Simon Guggenheim Memorial Foundation

1951 - Fellow of John Simon Guggenheim Memorial Foundation

1946 - Fellow of John Simon Guggenheim Memorial Foundation

- Quantum mechanics
- Mathematical analysis
- Hilbert space

Irving E. Segal mainly investigates Pure mathematics, Hilbert space, Nonlinear system, Commutative property and Algebra. His Pure mathematics study frequently draws connections to adjacent fields such as Group algebra. His Hilbert space study improves the overall literature in Quantum mechanics.

As a part of the same scientific study, Irving E. Segal usually deals with the Nonlinear system, concentrating on A priori and a posteriori and frequently concerns with Mathematical analysis and Quantization. His Commutative property study combines topics in areas such as Normal distribution, Probabilistic logic, Distribution and Tensor. In general Algebra study, his work on Extension often relates to the realm of Subdirectly irreducible algebra, Representation theory of SU, -module and Irreducible element, thereby connecting several areas of interest.

- A Non-Commutative Extension of Abstract Integration (621 citations)
- Non-Linear Semi-Groups (385 citations)
- Postulates for General Quantum Mechanics (332 citations)

His main research concerns Pure mathematics, Cosmology, Astrophysics, Mathematical physics and Minkowski space. His Hilbert space, Operator algebra, Invariant and Locally compact space study in the realm of Pure mathematics connects with subjects such as Nest algebra. He combines subjects such as Commutative property, Group representation and Quantum field theory with his study of Hilbert space.

His Cosmology research is multidisciplinary, relying on both Theoretical physics, Luminosity, Redshift and Quasar. The Mathematical physics study combines topics in areas such as Group and Nonlinear system. His studies deal with areas such as Covering space, Mathematical analysis, Spinor and Covariant transformation as well as Minkowski space.

- Pure mathematics (25.63%)
- Cosmology (19.38%)
- Astrophysics (15.63%)

- Cosmology (19.38%)
- Astrophysics (15.63%)
- Mathematical physics (18.13%)

The scientist’s investigation covers issues in Cosmology, Astrophysics, Mathematical physics, Redshift and Galaxy. The various areas that Irving E. Segal examines in his Cosmology study include Quantum cosmology, Statement, Classical mechanics and Superluminal motion. His research in Mathematical physics intersects with topics in Mathematical analysis and Wave equation.

His Mathematical analysis research integrates issues from Covering space and Scalar. His Basis research focuses on Valuation of options and how it relates to Hilbert space. His Pure mathematics study frequently links to other fields, such as Unitary state.

- Introduction to Algebraic and Constructive Quantum Field Theory (237 citations)
- The Black-Scholes pricing formula in the quantum context (68 citations)
- The global Goursat problem and scattering for nonlinear wave equations (49 citations)

- Quantum mechanics
- Mathematical analysis
- Hilbert space

His scientific interests lie mostly in Cosmology, Astrophysics, Mathematical physics, Astronomy and Redshift. His Cosmology research includes elements of Einstein, Brane cosmology, Cosmological constant, Non-standard cosmology and Plasma cosmology. Irving E. Segal is involved in the study of Astrophysics that focuses on Hubble's law in particular.

The study incorporates disciplines such as Lorentz covariance, Classical mechanics and Symmetry group in addition to Mathematical physics. Redshift is a subfield of Galaxy that Irving E. Segal studies. You can notice a mix of various disciplines of study, such as Conformal group and Minkowski space, in his Chemistry studies.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A Non-Commutative Extension of Abstract Integration

I. E. Segal.

Annals of Mathematics **(1953)**

997 Citations

Non-Linear Semi-Groups

Irving Segal.

Annals of Mathematics **(1963)**

594 Citations

Postulates for General Quantum Mechanics

I. E. Segal.

Annals of Mathematics **(1947)**

512 Citations

Mathematical problems of relativistic physics

Irving Ezra Segal;George Whitelaw Mackey.

**(1963)**

501 Citations

A class of operator algebras which are determined by groups

I. E. Segal.

Duke Mathematical Journal **(1951)**

443 Citations

Tensor algebras over Hilbert spaces. I

I. E. Segal.

Transactions of the American Mathematical Society **(1956)**

426 Citations

Introduction to Algebraic and Constructive Quantum Field Theory

John C. Baez;Irving Ezra Segal;Zhengfang Zhou.

Physics Today **(1992)**

365 Citations

Irreducible representations of operator algebras

I. E. Segal.

Bulletin of the American Mathematical Society **(1947)**

354 Citations

Mathematical cosmology and extragalactic astronomy

Irving Ezra Segal.

Pure and Applied Mathematics. A Series of Monographs and Textbooks **(1976)**

273 Citations

A Note on the Concept of Entropy

I. Segal.

Indiana University Mathematics Journal **(1960)**

202 Citations

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