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L. Ahlfors, A. Beurling (1982)
Invariants conformes et problèmes extrémaux
LV Ahlfors (1954)
On quasiconformal mappingsJ. Anal. Math., 3
T. Iwaniec (1992)
$p$-harmonic tensors and quasiregular mappingsAnnals of Mathematics, 136
K. Hag, M. Näätänen (1980)
On the outer coefficient of quasiconformality of a cylindrical map of a convex dihedral wedge, 5
T. Jørgensen (1976)
On Discrete Groups of Mobius TransformationsAmerican Journal of Mathematics, 98
G. Martin (1999)
The Hilbert-Smith conjecture for quasiconformal actionsElectronic Research Announcements of The American Mathematical Society, 5
Ur Mathematik, Und Statistik (2009)
GENERALIZED SOLUTIONS OF A SYSTEM OF DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND ELLIPTIC TYPE WITH DISCONTINUOUS COEFFICIENTS
F. Gehring, P. Duren (1998)
Quasiconformal mappings and analysis : a collection of papers honoring F.W. Gehring
K. Hag, M. Vamanamurthy (1977)
The coefficients of quasiconformality of cones in n-space, 3
K Hag, MK Vamanamurthy (1977)
The coefficients of quasiconformality of cones in $$n$$ n -spaceAnn. Acad. Sci. Fenn. Ser. A I Math., 3
(1980)
Extension theorems for BMO
K. Astala, T. Iwaniec, G. Martin (2009)
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (Pms-48)
G. Martin (1985)
QUASICONFORMAL AND BI-LIPSCHITZ HOMEOMORPHISMS, UNIFORM DOMAINS AND THE QUASIHYPERBOLIC METRICTransactions of the American Mathematical Society, 292
Peter Jones (1981)
Quasiconformal mappings and extendability of functions in sobolev spacesActa Mathematica, 147
T. Iwaniec, G. Martin (2002)
Geometric Function Theory and Non-linear Analysis
G. Martin (1986)
Discrete quasiconformal groups that are not the quasiconformal conjugates of Möbius groups, 11
F. Gehring, C. Maclachlan, Gaven Martin, Alan Reid (1995)
Arithmeticity, Discreteness and VolumeTransactions of the American Mathematical Society, 349
O. Martio, J. Sarvas (1979)
Injectivity theorems in plane and space, 4
A. Pfluger (1959)
Über die Äquivalenz der geometrischen und der analytischen Definition quasikonformer AbbildungenCommentarii Mathematici Helvetici, 33
F. Kwakkel, V. Marković (2009)
Quasiconformal homogeneity of genus zero surfacesJournal d'Analyse Mathématique, 113
D Gabai (1992)
Convergence groups are Fuchsian groupsAnn. Math., 136
F. Gehring, G. Martin (1989)
Iteration theory and inequalities for Kleinian groupsBulletin of the American Mathematical Society, 21
(1957)
Sulla differenziabilit? e l’analiticit? delle estremali degli integrali multipli regolari
J. Heinonen, P. Koskela (1998)
Quasiconformal maps in metric spaces with controlled geometryActa Mathematica, 181
T. Iwaniec (1998)
The Gehring Lemma
LV Ahlfors, A Beurling (1947)
Invariants conformes et problèmes extrémaux, C. R. Dixi?me Congr?Math. Scandinaves, 1946
A. Casson, D. Jungreis (1994)
Convergence groups and seifert fibered 3-manifoldsInventiones mathematicae, 118
Petra Bonfert-Taylor, G. Martin, A. Reid, Edward Taylor (2011)
Teichmuller Mappings, Quasiconformal Homogeneity, and Non-amenable Covers of Riemann SurfacesPure and Applied Mathematics Quarterly, 7
F. Gehring (1963)
Quasiconformal mappings in spaceBulletin of the American Mathematical Society, 69
T Iwaniec (1992)
$$p$$ p -harmonic tensors and quasiregular mappingsAnn. Math., 136
ED Callender (1960)
Hölder continuity of $$n$$ n -dimensional quasi-conformal mappingsPacific J. Math., 10
K. Astala (1994)
Area distortion of quasiconformal mappingsActa Mathematica, 173
Daniel Meyer (2008)
SNOWBALLS ARE QUASIBALLSTransactions of the American Mathematical Society, 362
W. Abikoff (1984)
THE GEOMETRY OF DISCRETE GROUPS (Graduate Texts in Mathematics)Bulletin of The London Mathematical Society, 16
Petra Bonfert-Taylor, Richard Canary, J. Souto, Edward Taylor (2011)
Exotic quasi‐conformally homogeneous surfacesBulletin of the London Mathematical Society, 43
L. Lewis (1971)
Quasiconformal mappings and Royden algebras in spaceTransactions of the American Mathematical Society, 158
P. Tukia (1980)
On two-dimensional quasiconformal groups, 5
F Kwakkel, V Markovic (2011)
Quasiconformal homogeneity of genus zero surfacesJ. Anal. Math., 113
Petra Bonfert-Taylor, R. Canary, G. Martin, Edward Taylor (2005)
Quasiconformal homogeneity of hyperbolic manifoldsMathematische Annalen, 331
T. Iwaniec, G. Martin (1993)
Quasiregular mappings in even dimensionsActa Mathematica, 170
T. Marshall, G. Martin (2012)
Minimal co-volume hyperbolic lattices, II: Simple torsion in a Kleinian groupAnnals of Mathematics, 176
David Gabai (1991)
Convergence groups are Fuchsian groupsBulletin of the American Mathematical Society, 25
G. Anderson (1968)
The coefficients of quasiconformality of ellipsoids, 1968
(1987)
Hyperbolic Groups, Essays in Group Theory, Mathematical Science Research Insttitute Publlication, vol
S. Kerckho (1983)
The Nielsen realization problem
O. Martio (1980)
Definitions for uniform domains, 5
E. Callender (1960)
Hölder continuity of $n$-dimensional quasi-conformal mappings.Pacific Journal of Mathematics, 10
P. Tukia (1988)
Homeomorphic conjugates of Fuchsian groups.Journal für die reine und angewandte Mathematik (Crelles Journal), 1988
L. Ahlfors (1953)
On quasiconformal mappingsJournal d’Analyse Mathématique, 3
M. Freedman (1986)
A geometric reformulation of 4-dimensional surgery☆Topology and its Applications, 24
F. Gehring, G. Martin (1998)
Precisely invariant collars and the volume of hyperbolic 3-foldsJournal of Differential Geometry, 49
Pakka Tukia (1981)
A quasiconformal group not isomorphic to a Möbius group, 6
This article is intended as a survey of some of the mathematical research of Fred Gehring. It is not definitive and only superficially covers much of his most important work. Further, it really only touches on the many deep connections of Fred’s research with quasiconformal mappings, geometric function theory, nonlinear partial differential equations, differential and geometric topology and discrete groups. There are no proofs given here as they can easily be found in Fred’s published work, which are typically models of clarity of exposition.
Computational Methods and Function Theory – Springer Journals
Published: Jul 12, 2014
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