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- Charles Fefferman

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
55
Citations
19,502
175
World Ranking
559
National Ranking
293

2017 - Wolf Prize in Mathematics for his contributions in a number of mathematical areas including complex multivariate analysis, partial differential equations and sub-elliptical problems.

1979 - Member of the National Academy of Sciences

1978 - Fields Medal of International Mathematical Union (IMU) Contributed several innovations that revised the study of multidimensional complex analysis by finding correct generalizations of classical (low-dimensional) results.

1972 - Fellow of the American Academy of Arts and Sciences

1970 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary areas of investigation include Mathematical analysis, Pure mathematics, Discrete mathematics, Applied mathematics and Partial differential equation. His study in the fields of Order, Ball and Bergman space under the domain of Mathematical analysis overlaps with other disciplines such as Ampere. His Pure mathematics research incorporates elements of Norm, Matrix norm, Eigenfunction and Summation of Grandi's series.

His work carried out in the field of Discrete mathematics brings together such families of science as Littlewood paley, Carleson measure and Dyadic cubes. His biological study spans a wide range of topics, including Linear differential equation, Numerical partial differential equations and First-order partial differential equation. His studies deal with areas such as Uncertainty principle, Calculus, Elliptic operator, Exact solutions in general relativity and Existence theorem as well as Partial differential equation.

- H p spaces of several variables (2263 citations)
- H p spaces of several variables (2263 citations)
- Weighted norm inequalities for maximal functions and singular integrals (873 citations)

Charles Fefferman mostly deals with Mathematical analysis, Pure mathematics, Combinatorics, Discrete mathematics and Quantum mechanics. In the subject of general Mathematical analysis, his work in Singularity and Gravitational singularity is often linked to Splash and Front, thereby combining diverse domains of study. The concepts of his Combinatorics study are interwoven with issues in Function, Sobolev space and Extension.

He studied Extension and Space that intersect with Bounded function. Discrete mathematics and Norm are frequently intertwined in his study. Charles Fefferman specializes in Quantum mechanics, namely Electron.

- Mathematical analysis (25.67%)
- Pure mathematics (19.79%)
- Combinatorics (12.83%)

- Combinatorics (12.83%)
- Mathematical analysis (25.67%)
- Pure mathematics (19.79%)

Charles Fefferman mainly focuses on Combinatorics, Mathematical analysis, Pure mathematics, Sobolev space and Interpolation. His work focuses on many connections between Combinatorics and other disciplines, such as Extension, that overlap with his field of interest in Space and Linear operators. His Mathematical analysis research integrates issues from Geometry and Surface.

His Pure mathematics research includes themes of Scalar and Gaussian noise. His study in Finite set is interdisciplinary in nature, drawing from both Discrete mathematics and Order of magnitude. His Discrete mathematics research is multidisciplinary, relying on both Domain, Norm, Linear programming, Linear-fractional programming and Trilinear interpolation.

- The Ambient Metric (323 citations)
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models (113 citations)
- Topologically protected states in one-dimensional continuous systems and Dirac points. (45 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

His primary areas of study are Mathematical analysis, Finite time, Surface, Complex system and Splash. Charles Fefferman interconnects Einstein, Linear map and Extension in the investigation of issues within Mathematical analysis. His Surface study combines topics from a wide range of disciplines, such as Zero, Second derivative, Geostrophic wind and Limit.

He has included themes like Analytic function, Arbitrarily large, Order and Constant in his Geostrophic wind study. His studies in Two fluid integrate themes in fields like Geometry and Euler equations. The Operations research study combines topics in areas such as Free boundary problem, Parameterized complexity, Singularity, Euler's formula and Conservative vector field.

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.

H p spaces of several variables

C. Fefferman;C. Fefferman;E. M. Stein;E. M. Stein.

Acta Mathematica **(1972)**

4042 Citations

H p spaces of several variables

C. Fefferman;C. Fefferman;E. M. Stein;E. M. Stein.

Acta Mathematica **(1972)**

4042 Citations

Weighted norm inequalities for maximal functions and singular integrals

R. R. Coifman;C. Fefferman.

Studia Mathematica **(1974)**

1405 Citations

Weighted norm inequalities for maximal functions and singular integrals

R. R. Coifman;C. Fefferman.

Studia Mathematica **(1974)**

1405 Citations

Some Maximal Inequalities

C. Fefferman;E. M. Stein.

American Journal of Mathematics **(1971)**

1219 Citations

Some Maximal Inequalities

C. Fefferman;E. M. Stein.

American Journal of Mathematics **(1971)**

1219 Citations

The Bergman kernel and biholomorphic mappings of pseudoconvex domains

Charles Louis Fefferman.

Inventiones Mathematicae **(1974)**

993 Citations

The Bergman kernel and biholomorphic mappings of pseudoconvex domains

Charles Louis Fefferman.

Inventiones Mathematicae **(1974)**

993 Citations

Inequalities for strongly singular convolution operators

Charles Fefferman.

Acta Mathematica **(1970)**

798 Citations

Inequalities for strongly singular convolution operators

Charles Fefferman.

Acta Mathematica **(1970)**

798 Citations

Journal of the Mathematical Society of Japan

(Impact Factor: 0.771)

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