WorldCat Identities

Anker, Jean-Philippe

Overview
Works: 18 works in 60 publications in 2 languages and 1,544 library holdings
Roles: Editor
Classifications: QA649, 516.362
Publication Timeline
Key
Publications about  Jean-Philippe Anker Publications about Jean-Philippe Anker
Publications by  Jean-Philippe Anker Publications by Jean-Philippe Anker
Most widely held works by Jean-Philippe Anker
Lie theory unitary representations and compactifications of symmetric spaces by Jean-Philippe Anker ( )
18 editions published in 2005 in English and held by 629 WorldCat member libraries worldwide
"Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji, and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications: and branching laws for unitary representations, i.e., restricting unitary representations to (typically, but not exclusively, symmetric) subgroups and decomposing the ensuing representations into irreducibles."--Résumé de l'éditeur
Lie theory harmonic analysis on symmetric spaces, general Plancherel theorems by Jean-Philippe Anker ( )
14 editions published in 2005 in English and held by 600 WorldCat member libraries worldwide
"Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems presents extensive surveys by E.P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces." "Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, and possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required."--Jacket
Lie theory : Lie algebras and representations by Jens Carsten Jantzen ( Book )
10 editions published between 2003 and 2004 in English and held by 262 WorldCat member libraries worldwide
"Ideal for graduate students and researchers, Lie Theory provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics."--Jacket
Lie algebras and representations by Jens Carsten Jantzen ( Book )
1 edition published in 2004 in English and held by 14 WorldCat member libraries worldwide
Théorèmes ergodiques pour les actions de groupes ( Book )
1 edition published in 2010 in French and held by 11 WorldCat member libraries worldwide
Harmonic analysis on symmetric spaces - general Plancherel theorems ( Book )
1 edition published in 2005 in English and held by 9 WorldCat member libraries worldwide
Lie theory ( Book )
in Undetermined and English and held by 5 WorldCat member libraries worldwide
Analyse harmonique des formes différentielles sur l'espace hyperbolique réel by Emmanuel Pedon ( Book )
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
Nous développons dans ce mémoire l'analyse harmonique L2 des p-formes différentielles (0 ≤ p ≤n) sur l'espace hyperbolique réel Hn(R) ≈ SOe(n,1)/ SO(n). Les notions et résultats classiques de l'analyse harmonique des fonctions (i.e. des formes de degré zéro) sur Hn(R) sont ainsi généralisés. Les principaux outils employés sont la théorie des représentations des groupes de Lie semi-simples et la théorie des fonctions de Jacobi. Nous étudions notamment : la transformation de Poisson ; les fonctions sphériques (généralisées) ; la transformation de Fourier sphérique ; la transformation de Fourier ; la transformation d'Abel. Nous obtenons comme corollaires l'expression explicite du noyau de la chaleur et un nouveau calcul des invariants de Novikov-Shubin. Deux appendices sont consacrés à des résultats plus généraux : l'Appendice A décrit de manière élémentaire les séries discrètes intervenant dans la décomposition de l'espace des formes différentielles L2 sur un espace symétrique riemannien de type non compact général ; l'Appendice B introduit et développe la notion de « triplet de Gelfand», qui généralise à un cadre vectoriel la notion de paire de Gelfand, et permet l'étude des fonctions sphériques associées à un fibré homogène sur un espace symétrique riemannien de type non compact général
Spherical analysis on harmonic on groups by Jean-Philippe Anker ( Book )
2 editions published in 1994 in Undetermined and English and held by 2 WorldCat member libraries worldwide
Estimations globales du noyau de la chaleur by Patrick Jacques Ostellari ( )
2 editions published in 2003 in French and held by 2 WorldCat member libraries worldwide
This thesis deals with sharp heat kernel estimates in two related settings. We consider first noncompact Riemannian symmetric spaces X = G/K, and obtain in this case the same upper and lower bound for the heat kernel associated with the Laplace-Beltrami operator L. These bounds are global in space and time. We consider next the class of sub-Laplacians on a semisimple Lie group G which induce L on the associated symmetric space X = G/K. These sub-Laplacians share properties with L: they have the same L^2 spectral gap, the associated Carnot-Carathéodory distances are all comparable with the Riemannian metric on X and, most of all, their heat kernels are all comparable (for large time) with the heat kernel on X. This yields sharp heat kernel bounds and, consequently, optimal Green function estimates
Lie Theory Volume 230, Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems by Jean-Philippe Anker ( )
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Suitable for both graduate students and researchers in semi simple Lie theory and neighboring fields, this work provides an examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics
Lie Theory (vol. # 230) by Jean-Philippe Anker ( Book )
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Lie Theory Volume 229, Unitary Representations and Compactifications of Symmetric Spaces by Jean-Philippe Anker ( )
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications; and branching laws for unitary representations - restricting unitary representations to subgroups and decomposing the ensuing representations into irreducibles
Etude analytique et probabiliste de laplaciens associés à des systèmes de racines by Bruno Schapira ( Book )
1 edition published in 2006 in French and held by 1 WorldCat member library worldwide
Cette thèse porte sur une étude analytique et probabiliste des théories de Heckman--Opdam et des immeubles affines de type Ãr. On étudie aussi la frontière de Poisson des matrices triangulaires inversibles rationnelles. Un de nos principaux résultats est l'obtention de nouvelles estimations des fonctions hypergéométriques de Heckman--Opdam. Nos preuves sont relativement plus simples que dans le cas particulier des espaces symétriques G/K. Par exemple pour les estimations de base des fonctions sphériques, obtenues par Harish-Chandra, ou Gangolli et Varadarajan, ainsi que pour les estimations récentes de la fonction sphérique élémentaire Øo par Anker, Bougerol et Jeulin. Un des autres principaux résultats est l'estimation du noyau de la chaleur associé à un certain laplacien combinatoire sur un immeuble affine de type Ãr
Lie Theory (vol. # 229) by Jean-Philippe Anker ( Book )
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces. Progress in Mathematics, Volume 229 ( )
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications; and branching laws for unitary representations, i.e. restricting unitary representations to (typically, but not exclusively, symmetric) subgroups and decomposing the ensuing representations into irreducibles. Ji's introductory chapter motivates the subject of symmetric spaces and their compactifications with carefully selected examples and provides a good background for the second chapter, namely, the BorelJi authoritative treatment of various types of compactifications useful for studying symmetric and locally symmetric spaces. Kobayashi examines the important subject of branching laws. Knowledge of basic representation theory of Lie groups and familiarity with semisimple Lie groups and symmetric spaces is required of the reader
Lie Theory: Harmonic Analysis on Symmetric Spaces-General Plancherel Theorems. Progress in Mathematics, Volume 230 ( )
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title of Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems presents extensive surveys by E.P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces. Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology, it provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required
Analyse harmonique et équation de Schrödinger associées au laplacien de Dunkl trigonométrique by Fatma Ayadi Ben Said ( )
1 edition published in 2011 in French and held by 1 WorldCat member library worldwide
Cette thèse est constituée de trois chapitres. Le premièr chapitre porte sur l'examen desconditions de validité du principe d'équipartition de l'énergie totale de la solution de l'équationdes ondes associée au laplacien de Dunkl trigonométrique. Enfin, nous établissons lecomportement asymptotique de l'équipartition dans le cas général. Les résultats de cettepartie ont fait l'objet de la publication [8]. Le deuxième chapitre, publié avec J.Ph. Ankeret M. Sifi [6], montre que les fonctions d'Opdam dans le cas de rang 1 satisfont à uneformule produit. Cela nous a permis de définir une structure de convolution du genre hypergroupe.En particulier, on montre que cette convolution satisfait l'analogue du phénomènede Kunze-Stein. Le dernier chapitre est consacrée à l'étude des propriétés dispersives et estimationsde Strichartz pour la solution de l'équation de Schrödinger associée au laplaciende Dunkl trigonométrique unidimensionnel [7]. Cette étude commence par des estimationsoptimales du noyau de la chaleur et de Schrödinger. À l'aide de ces résultats, ainsi que lesoutils d'analyse harmonique dévellopée dans le chapitre 2, on montre des éstimées de typeStrichartz qui permettent de trouver des conditions d'admissibilité pour des équations deSchrödinger semi-linéaires
 
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Languages
English (53)
French (5)
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