Michael Cowling

Q: What Schools Are Affiliated With Michael Cowling

Michael Cowling is affiliated with the following schools: University of New South Wales, Flinders University, University of Birmingham

Michael Cowling's AcademicInfluence.com Rankings

Michael Cowling

Mathematics

#5202

World Rank

#7340

Historical Rank

Measure Theory

#3000

World Rank

#3563

Historical Rank

mathematics Degrees

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Mathematics

Why Is Michael Cowling Influential?

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According to Wikipedia, Michael George Cowling is an Australian pure mathematician who was born in Melbourne, Victoria, Australia in 1949. He gained a BSc from the Australian National University and a PhD from Flinders University. After rising to the rank of professor at the University of Genoa, he became Professor of Pure Mathematics at the University of New South Wales in 1983. His work centers on harmonic analysis, representation theory, partial differential equations and geometry of Lie groups. He was awarded the Australian Mathematical Society Medal in 1989, and he was elected as a fellow of the Australian Academy of Science in 1993. From 2004 to 2006 he was President of the Australian Mathematical Society.

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Michael Cowling's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Banach space operators with a bounded H∞ functional calculus (1996) (366)
Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one (1989) (299)
Groups with the Haagerup Property (2001) (261)
H-type groups and Iwasawa decompositions☆ (1991) (222)
On maximal functions (1979) (191)
Almost L2 matrix coefficients. (1988) (167)
Groups with the Haagerup Property: Gromov’s a-T-menability (2001) (166)
Bandwidth Versus Time Concentration: The Heisenberg–Pauli–Weyl Inequality (1984) (127)
Generalisations of Heisenberg's inequality (1983) (109)
The Kunze-Stein Phenomenon (1976) (106)
A spectral multiplier theorem for a sublaplacian on SU(2) (2001) (94)
An approach to symmetric spaces of rank one via groups of Heisenberg type (1998) (94)
Pointwise behavpour of solutions to Schrödinger equations (1983) (84)
Harmonic analysis on semigroups (1983) (76)
$L^p - L^q$ estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I (1993) (74)
Some groups whose reduced C*-algebra is simple (1994) (73)
Conformality and $Q$-harmonicity in Carnot groups (2006) (60)
Hardy's uncertainty principle on semisimple groups (2000) (55)
Hardy and uncertainty inequalities on stratified Lie groups (2013) (54)
Hardy's Uncertainty Principle on Certain Lie Groups (2000) (54)
Inequalities for some maximal functions. II (1985) (53)
Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth (1994) (51)
An overview of harmonic analysis on the group of isometries of a homogeneous tree (1998) (45)
An application of Littlewood-Paley theory in harmonic analysis (1979) (44)
Damping oscillatory integrals (1990) (44)
The Hardy Uncertainty Principle Revisited (2010) (42)
Estimates for functions of the Laplace operator on homogeneous trees (2000) (41)
Weak type (1,1) estimates for heat kernel maximal functions on Lie groups (1991) (38)
Some applications of Grothendieck's theory of topological tensor products in harmonic analysis (1978) (34)
Oscillatory integrals and Fourier transforms of surface carried measures (1987) (33)
Actions of lattices in Sp (1, n) (1989) (31)
Inclusions and noninclusion of spaces of convolution operators (1976) (31)
Unitary and Uniformly Bounded Representations Of Some Simple Lie Groups (2010) (28)
The irreducibility of restrictions of unitary representations of lattices. (1991) (28)
Harmonic analysis and ultracontractivity (1993) (26)
Restrictions of certain function spaces to closed subgroups of locally compact groups. (1979) (26)
The Cayley transform and uniformly bounded representations (2004) (26)
On the nonlinear Brascamp–Lieb inequality (2018) (24)
Sub-Finsler Geometry and Finite Propagation Speed (2012) (24)
SPECTRAL MULTIPLIERS FOR THE KOHN SUBLAPLACIAN ON THE SPHERE IN C (2010) (24)
Behaviour of the Brascamp–Lieb constant (2016) (22)
The range of the Helgason-Fourier transformation on homogeneous trees (1999) (22)
A family of singular oscillatory integral operators and failure of weak amenability (2002) (22)
Contact and Conformal Maps in (2005) (22)
The predual of the space of convolutors on a locally compact group (1998) (21)
Riesz potentials and amalgams (1999) (21)
Harmonic analysis on heisenberg type groups from a geometric viewpoint (1984) (19)
Conformal maps of Carnot groups (2013) (18)
Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$ (2011) (18)
The Fourier-Stieltjes algebra of a semisimple group (1979) (18)
A qualitative uncertainty principle for semisimple Lie groups (1988) (18)
Contact and conformal maps on Iwasawa N groups (2002) (17)
Uniform estimates for spherical functions on complex semisimple Lie groups (2001) (16)
Simplcity of the reduced C*-algebra of PSL(n,Z) (1994) (16)
Oscillatory Multipliers Related to the Wave Equation on Noncompact Symmetric Spaces (2002) (14)
Some irreducible unitary representations of G(K) for a simple algebraic group G over an algebraic number field K (2002) (13)
Weighted estimates for fractional maximal functions related to spherical means (2002) (13)
Pointwise estimates for some kernels on compact Lie groups (1982) (13)
Assessing Research in the Mathematical Sciences (2007) (12)
Some light on Littlewood–Paley theory (2000) (12)
On representations in Banach spaces (1984) (12)
Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres (2016) (11)
Representation Theory and Complex Analysis (2008) (11)
The Hausdorff–Young inequality on Lie groups (2018) (11)
On the Paley-Wiener theorem (1986) (10)
Operator Lipschitz estimates in the unitary setting (2015) (10)
$L^p-L^q$ estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III (2001) (9)
From homogeneous metric spaces to Lie groups (2017) (9)
A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree (2010) (8)
Variants of Littlewood-Paley theory (1989) (7)
Invariant operators on function spaces on homogeneous trees (1999) (7)
Filter products of C0-semigroups and ultraproduct representations for Lie groups (2004) (7)
Global contact and quasiconformal mappings of Carnot groups (2014) (7)
Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in $$\mathbb {C}^n$$Cn (2015) (7)
Fourier transform of surface carried measures (1986) (6)
$L\sp p$-$L\sp q$-estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. II (1995) (6)
POINTWISE CONVERGENCE AND SEMIGROUPS ACTING ON VECTOR-VALUED FUNCTIONS (2011) (6)
A class of singular integrals on then-complex unit sphere (1999) (6)
Applications of Representation Theory to Harmonic Analysis of Lie Groups (and Vice Versa) (2008) (5)
Examples of twisted convolution operators (1982) (4)
University of Birmingham Spectral multipliers for the Kohn Laplacian on forms on the sphere in Cn (2016) (4)
A note on Martingales with respect to Complex Measures (1990) (4)
CITES and the African Elephant (2003) (4)
Flag Hardy space theory on Heisenberg groups and applications (2021) (3)
Conformal and CR mappings on Carnot groups (2018) (3)
The Levi Decomposition of a Graded Lie Algebra (2017) (3)
Square functions in Banach spaces (1985) (3)
VECTOR-VALUED DISTRIBUTIONS AND HARDY'S UNCERTAINTY PRINCIPLE FOR OPERATORS (2008) (3)
CITES and the conservation of the African elephant (2000) (3)
Extension of Fourier L p - L q Multipliers (1975) (2)
Extension of Fourier ^{}—^{} multipliers (1975) (2)
On a maximal function on compact Lie groups (1989) (2)
Uniformly bounded representations of SL2 (2017) (2)
Uniformly bounded representations and completely bounded multipliers of SL(2,R) (2017) (2)
Estimates for matrix coefficients of representations (2019) (2)
Scripta Manent: the future of mathematical publishing (2012) (2)
The Heisenberg group, SL(3R), and rigidity (2007) (2)
Random subgroups of Lie groups (1997) (2)
Isomorphisms of the Figà-Talamanca-Herz algebras Ap(G) for connected Lie groups G (2012) (2)
Miniconferences on Harmonic Analysis and Operator Algebras (Canberra, 5-8 August and 2-3 December 1987) (1987) (2)
Controversies in Media Ethics (1996) (1)
The Cayley Transform and Uniformly Bounded Representations F (2004) (1)
An Uncertainty Principle for Operators (2006) (1)
Criminal procedure : recent case (2003) (1)
Characterizations of product Hardy spaces on stratified groups by singular integrals and maximal functions (2022) (1)
Miniconference on Harmonic Analysis and Operator Algebras (Canberra, June 17-20, 1987) (1987) (1)
The Australian Mathematical Society (1962) (1)
Extension of multipliers by periodicity (1972) (1)
The African Union: an evaluation (2002) (1)
Classification of Lie Groups with the Haagerup Property (2001) (1)
Criminal procedure : case (2004) (1)
Estimates for kernels of intertwining operators on SL(n, R) (2006) (0)
The rigidity problem for Carnot groups (2006) (0)
Program Committee Local Committee Special Session Organizers Wednesday 28 (2005) (0)
George Szekeres 1911–2005 (2019) (0)
Mathematische Annalen The Hausdorff – Young inequality on Lie groups (2019) (0)
The Constants of Cowling and Haagerup (2008) (0)
The style files : Appearance affects communication (0)
Functions which are restrictions of ^{}-multipliers (1975) (0)
Surface measures: maximal functions and Fourier transforms (1990) (0)
Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in $$\mathbb {C}^{2n}$$ C (2020) (0)
The Hausdorff–Young inequality on Lie groups (2019) (0)
Criminal procedure : case review (2005) (0)
University of Birmingham The Hausdorff-Young inequality on Lie groups (2019) (0)
Applications of representation theory to harmonic analysis of Lie groups Analysis (2008) (0)
Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups (2022) (0)
The Radial Haagerup Property (2001) (0)
Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004 (2008) (0)
Proper 1-ball contractive retractions in Banach spaces of measurable functions (2008) (0)
Vale Bernhard H. Neumann (2003) (0)
On derivations of subalgebras of real semisimple Lie algebras (2017) (0)
On isomorphisms of algebras of operators (1986) (0)
Rigidity, von Neumann algebras, and semisimple groups (1987) (0)
Criminal procedure : appeal - by the state - question of law (2005) (0)
Criminal procedure : bail - grounds for refusal - risk of flight in the case of a foreigner (2002) (0)
On derivations of subalgebras of real semisimple Lie algebras (2016) (0)
Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres (2019) (0)
Criminal procedure : fair trial - self-incrimination - disclosure of information in terms of the Prevemtion of Organized Crime Act (2002) (0)
Some irreducible unitary representations of G ( K ) for a simple algebraic group G over a number field K by (0)
A maximal function on harmonic extensions of H-type groups (2006) (0)
Criminal procedure : amicus curiae - application for admission as (2007) (0)
Actions of lattices in Sp ( 1 , ri ) (2007) (0)
Criminal procedure : search and seizure - validity of search warrants (2001) (0)
CR embeddings of nilpotent Lie groups (2022) (0)
Criminal procedure : review - special review - need for court order or judgment (2003) (0)
On the characters of unitary representations (1988) (0)
Extension of Fourier $L\sp{p}―L\sp{q}$ multipliers (1975) (0)
Rigidity of causal maps (2013) (0)
CR embeddings of CR manifolds (2022) (0)
Criminal procedure : fair trial - recusal of presiding officer - bias (2002) (0)
Spectral Multipliers on Damek–Ricci Spaces (2006) (0)
Uniformly bounded representations of SL(2,R) (2017) (0)

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What Schools Are Affiliated With Michael Cowling?

Michael Cowling is affiliated with the following schools: