What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Pure mathematics
- Algebra
His main research concerns Pure mathematics, Algebra, Triple system, Symmetric function and Stanley symmetric function.
His Pure mathematics study incorporates themes from Special unitary group and Euclidean geometry.
In the subject of general Algebra, his work in Matrix and Regular representation is often linked to Representation theory of SU, thereby combining diverse domains of study.
Among his Triple system studies, there is a synthesis of other scientific areas such as Complete homogeneous symmetric polynomial, Symmetric closure and Power sum symmetric polynomial.
His most cited work include:
- BANACH SPACE OPERATORS WITH A BOUNDED H＾∞ FUNCTIONAL CALCULUS (301 citations)
- Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one (262 citations)
- H-type groups and Iwasawa decompositions☆ (197 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Pure mathematics, Lie group, Mathematical analysis, Algebra and Combinatorics.
His Pure mathematics study deals with Harmonic analysis intersecting with Function.
His work in the fields of Simple Lie group overlaps with other areas such as Zonal spherical function.
His study in the field of Fourier transform, Maximal function, Laplace operator and Wave equation also crosses realms of Homogeneous tree.
Among his Algebra studies, you can observe a synthesis of other disciplines of science such as Representation theory of SU, Power sum symmetric polynomial, Symmetric closure, Complete homogeneous symmetric polynomial and Stanley symmetric function.
His research investigates the connection between Combinatorics and topics such as Bounded function that intersect with problems in Norm and Fourier algebra.
He most often published in these fields:
- Pure mathematics (56.39%)
- Lie group (21.80%)
- Mathematical analysis (21.05%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (56.39%)
- Lie group (21.80%)
- Uniform boundedness (4.51%)
In recent papers he was focusing on the following fields of study:
Michael Cowling mainly investigates Pure mathematics, Lie group, Uniform boundedness, Harmonic analysis and Constant.
His biological study spans a wide range of topics, including Space and Inequality.
His Lie group research includes elements of Injective metric space, Metric space and Product.
Michael Cowling works mostly in the field of Uniform boundedness, limiting it down to topics relating to Norm and, in certain cases, Bounded operator, Bounded inverse theorem and Combinatorics.
Michael Cowling studied Combinatorics and Laplace operator that intersect with Multiplier.
In his study, Partial differential equation is inextricably linked to Brascamp–Lieb inequality, which falls within the broad field of Harmonic analysis.
Between 2015 and 2021, his most popular works were:
- Behaviour of the Brascamp--Lieb constant (19 citations)
- Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in $$\mathbb {C}^n$$ (9 citations)
- The Hausdorff–Young inequality on Lie groups (6 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Pure mathematics
- Algebra
His primary scientific interests are in Pure mathematics, Harmonic analysis, Inequality, Multiplier and Constant.
His Pure mathematics research is multidisciplinary, incorporating perspectives in Brascamp–Lieb inequality and Spherical harmonics.
The Multiplier study combines topics in areas such as Fourier analysis, Differential geometry, Differential form and Laplace operator.
His Constant study combines topics in areas such as Noncommutative geometry, Upper and lower bounds, Heisenberg group and Hausdorff–Young inequality.
His biological study spans a wide range of topics, including Mathematical analysis, Metric space and Convex metric space.
His studies in Multilinear map integrate themes in fields like Function, Differentiable function and Linear map.
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