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- Michael Cowling

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
30
Citations
4,236
129
World Ranking
2708
National Ranking
66

- 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.

- 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)

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.

- Pure mathematics (56.39%)
- Lie group (21.80%)
- Mathematical analysis (21.05%)

- Pure mathematics (56.39%)
- Lie group (21.80%)
- Uniform boundedness (4.51%)

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.

- 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)

- 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.

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.

BANACH SPACE OPERATORS WITH A BOUNDED H＾∞ FUNCTIONAL CALCULUS

Michael Cowling;Ian Doust;Alan Mcintosh;Atsushi Yagi.

Journal of The Australian Mathematical Society **(1996)**

406 Citations

Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one

Michael Cowling;Uffe Haagerup.

Inventiones Mathematicae **(1989)**

341 Citations

Groups with the Haagerup Property

Pierre-Alain Cherix;Michael Cowling;Paul Jolissaint;Pierre Julg.

**(2001)**

250 Citations

H-type groups and Iwasawa decompositions☆

Michael Cowling;Anthony H Dooley;Adam Korányi;Fulvio Ricci.

Advances in Mathematics **(1991)**

237 Citations

Groups with the Haagerup property : Gromov's a-T-menability

Pierre-Alain Cherix;M. Cowling;Paul Jolissaint;Pierre Julg.

**(2001)**

214 Citations

Harmonic analysis on semigroups

Michael G. Cowling.

Annals of Mathematics **(1983)**

205 Citations

Generalisations of Heisenberg's inequality

Michael Cowling;John F. Price.

**(1983)**

177 Citations

Almost L2 matrix coefficients.

U. Haagerup;M. Cowling;R. Howe.

Crelle's Journal **(1988)**

168 Citations

Bandwidth Versus Time Concentration: The Heisenberg–Pauli–Weyl Inequality

Michael G. Cowling;John F. Price.

Siam Journal on Mathematical Analysis **(1984)**

153 Citations

The Kunze-Stein Phenomenon

Michael Cowling.

Annals of Mathematics **(1978)**

128 Citations

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