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Research schools;Lie Theory and Generalizations

In this series of lectures, we will focus on simple Lie groups, their dense subgroups and the convolution powers of their measures. In particular, we will dicuss the following two questions.
Let G be a Lie group. Is every Borel measurable subgroup of G with maximal Hausdorff dimension equal to the group G?
Is the convolution of sufficiently many compactly supported continuous functions on G always continuously differentiable?
Even though the answer to these questions is no when G is abelian, the answer is yes when G is simple. This is a joint work with N. de Saxce. First, I will explain the history of these two questions and their interaction. Then, I will relate these questions to spectral gap properties. Finally, I will discuss these spectral gap properties. In this series of lectures, we will focus on simple Lie groups, their dense subgroups and the convolution powers of their measures. In particular, we will dicuss the following two questions.
Let G be a Lie group. Is every Borel measurable subgroup of G with maximal Hausdorff dimension equal to the group G?
Is the convolution of sufficiently many compactly supported continuous functions on G always continuously differentiable?
Even though the ...

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Documents 22E30 | enregistrements trouvés : 51

Dense subgroups in simple groups - Lecture 2 Benoist, Yves | CIRM H Nouveau

Pseudodifferential operators and applicationproceedings of the symposium on... held at the university of notre dame,indian a,april 2-5,1984 Treves, Francois | American Mathematical Society 1985 Nouveau

Non-commutative harmonic analysis and Lie groups :proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Analyse harmonique sur les groupes de lie ii Eymard, P. ; Faraut, J. ; Schiffmann, G. Takahashi, R. | Springer-Verlag 1979 Nouveau

Representation theory and harmonic analysis :a conference in honor of Ray A. Kunze#Jan. 12-14 Gross, Kenneth I. ; Richards, Donald St. P. ; Sally, Paul J. ; Tuong, Ton-That | American Mathematical Society 1995 Nouveau

Séminaire Bourbaki. Vol. 1982/83 :exposés 597-614 | Société Mathématique de France 1983 Nouveau

Analyse harmonique sur les groupes de Lieséminaire Nancy-Strasbourg 1973-75 Eymard, P. ; Faraut, J. ; Schiffmann, G. ; Takahashi, R. | Springer-Verlag 1975 Nouveau

Journées d'analyse harmonique avril 26-29 | Université Claude-Bernard Lyon 1 1982 Nouveau

Séminaire Bourbaki. Vol. 1981/82 :exposés 579-596 | Société Mathématique de France 1982 Nouveau

Séminaire Bourbaki. Vol. 1997/98 :exposés 835-849 | Société Mathématique de France 1998 Nouveau

Representation theory of real reductive Lie groups:AMS-IMS-SIAM joint summer research conferenceSnowbird # june 4-8, 2006 Arthur, James Greig ; Schmid, Wilfried ; Trapa, Peter E. | American Mathematical Society 2008 Nouveau

Model theory and applications:based on the Euro-conference in model theory and applicationsRavello # may 27 - june 1, 2002 Bélair, L. ; Chatzidakis, Z. ; D'Aquino, P. ; Marker, D. ; Otero, M. ; Point, F. ; Wilkie, A. | ARACNE 2002 Nouveau

Notes from the 11th European summer school in group theory (ESSGT).Lecture series: harmonic analysis on semisimple symmetric spacesMarseille # july 2-13, 2001 Delorme, Patrick ; Schlichtkrull, Henrik | CIRM 2001 Nouveau

Topics in harmonic analysis :related to the Littlewood-Paley theory Stein, Elias M. | Princeton University Press;University Of Tokyo Press 1970 Nouveau

Opere sull'analisi reale e complessa, carteggio Vitali, Giuseppe | Edizioni Cremonese 1985 Nouveau

Unitary representations of reductive lie groups Vogan, David A. | Princeton University Press 1987 Nouveau

Theory of lie groups, 1 Chevalley, Claude | Princeton University Press 1950 Nouveau

Lp harmonic analysis on sl2,r Barker, William H. | American Mathematical Society 1988 Nouveau

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Pseudodifferential operators and application
proceedings of the symposium on... held at the university of notre dame,indian a,april 2-5,1984 Treves, Francois | American Mathematical Society 1985 Nouveau

Non-commutative harmonic analysis and Lie groups :
proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Representation theory and harmonic analysis :
a conference in honor of Ray A. Kunze#Jan. 12-14 Gross, Kenneth I. ; Richards, Donald St. P. ; Sally, Paul J. ; Tuong, Ton-That | American Mathematical Society 1995 Nouveau

Séminaire Bourbaki. Vol. 1982/83 :
exposés 597-614 | Société Mathématique de France 1983 Nouveau

Analyse harmonique sur les groupes de Lie
séminaire Nancy-Strasbourg 1973-75 Eymard, P. ; Faraut, J. ; Schiffmann, G. ; Takahashi, R. | Springer-Verlag 1975 Nouveau

Journées d'analyse harmonique
avril 26-29 | Université Claude-Bernard Lyon 1 1982 Nouveau

Séminaire Bourbaki. Vol. 1981/82 :
exposés 579-596 | Société Mathématique de France 1982 Nouveau

Séminaire Bourbaki. Vol. 1997/98 :
exposés 835-849 | Société Mathématique de France 1998 Nouveau

Representation theory of real reductive Lie groups:
AMS-IMS-SIAM joint summer research conference
Snowbird # june 4-8, 2006 Arthur, James Greig ; Schmid, Wilfried ; Trapa, Peter E. | American Mathematical Society 2008 Nouveau

Model theory and applications:
based on the Euro-conference in model theory and applications
Ravello # may 27 - june 1, 2002 Bélair, L. ; Chatzidakis, Z. ; D'Aquino, P. ; Marker, D. ; Otero, M. ; Point, F. ; Wilkie, A. | ARACNE 2002 Nouveau

Notes from the 11th European summer school in group theory (ESSGT).
Lecture series: harmonic analysis on semisimple symmetric spaces
Marseille # july 2-13, 2001 Delorme, Patrick ; Schlichtkrull, Henrik | CIRM 2001 Nouveau

Topics in harmonic analysis :
related to the Littlewood-Paley theory Stein, Elias M. | Princeton University Press;University Of Tokyo Press 1970 Nouveau