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Titre : Quantization on nilpotent lie groups Type de document : Monographie Auteurs : Veronique Fischer, Auteur ; Michael Ruzhansky, Auteur Editeur : Berlin, Zurich, Stuttgart : Birkhaüser Année de publication : 2016 Collection : Progress in Mathematics, ISSN 0743-1643 num. 314 Importance : 557 p. ISBN/ISSN/EAN : 978-3-319-29558-9 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Analyse mathématique
[Termes IGN] analyse fonctionnelle (mathématiques)
[Termes IGN] groupe de Lie
[Termes IGN] topologieIndex. décimale : 23.30 Analyse mathématique Résumé : (Auteur) [Preface] The purpose of this monograph is to give an exposition of the global quantization of operators on nilpotent homogeneous Lie groups. We also present the background analysis on homogeneous and graded nilpotent Lie groups. The analysis on homogeneous nilpotent Lie groups drew a considerable attention from the 70’s onwards. Research went in several directions, most notably in harmonic analysis and in the study of hypoellipticity and solvability of partial differential equations. Over the decades the subject has been developing on different levels with advances in the analysis on the Heisenberg group, stratified Lie groups, graded Lie groups, and general homogeneous Lie groups. In the last years analysis on homogeneous Lie groups and also on other types of Lie groups has received another boost with newly found applications and further advances in many topics. Examples of this boost are subelliptic estimates, multiplier theorems, index formulae, nonlinear problems, potential theory, and symbolic calculi tracing full symbols of operators. In particular, the latter has produced further applications in the study of linear and nonlinear partial differential equations, requiring the knowledge of lower order terms of the operators. Because of the current advances, it seems to us that a systematic exposition of the recently developed quantizations on Lie groups is now desirable. This requires bringing together various parts of the theory in the right generality, and extending notions and techniques known in particular cases, for instance on compact Lie groups or on the Heisenberg group. In order to do so, we start with a review of the recent developments in the global quantization on compact Lie groups. In this, we follow mostly the development of this subject in the monograph [RT10a] by Turunen and the second author, as well as its further progress in subsequent papers. After a necessary exposition of the background analysis on graded and homogeneous Lie groups, we present the quantization on general graded Lie groups. As the final part of the monograph, we work out details of the general theory developed in this book in the particular case of the Heisenberg group. In the introduction, we will provide a link between, on one hand, the symbolic calculus of matrix valued symbols on compact Lie groups with, on the other hand, different approaches to the symbolic calculus on the Heisenberg group for instance. We will also motivate further our choices of presentation from the point of view of the development of the theory and of its applications. We would like to thank Fulvio Ricci for discussions and for useful comments on the historical overview of parts of the subject that we tried to present in the introduction. We would also like to thank Gerald Folland for comments leading to improvements of some parts of the monograph. Finally, it is our pleasure to acknowledge the financial support by EPSRC (grant EP/K039407/1), Marie Curie FP7 (Project PseudodiffOperatorS - 301599), and by the Leverhulme Trust (grant RPG-2014-02) at different stages of preparing this monograph. Note de contenu :
Introduction
Notation and conventions
1 Preliminaries on Lie groups
1.1 Lie groups, representations, and Fourier transform
1.2 Liealgebrasandvectorfields
1.3 Universalenvelopingalgebraanddifferentialoperators
1.4 DistributionsandSchwartzkerneltheorem
1.5 Convolutions
1.6 NilpotentLiegroupsandalgebras
1.7 Smooth vectors and infinitesimal representations . .
1.8 Planchereltheorem
2 Quantization on compact Lie groups
2.1 FourieranalysisoncompactLiegroups
2.2 Pseudo-differentialoperatorsoncompactLiegroups
3 Homogeneous Lie groups
3.1 GradedandhomogeneousLiegroups
3.2 OperatorsonhomogeneousLiegroups
4 Rockland operators and Sobolev spaces
4.1 Rocklandoperators
4.2 PositiveRocklandoperators
4.3 FractionalpowersofpositiveRocklandoperators
4.4 SobolevspacesongradedLiegroups
4.5 Hulanicki’s theorem
5 Quantization on graded Lie groups
5.1 Symbolsandquantization
5.2 Symbol classes
5.3 SpectralmultipliersinpositiveRocklandoperators
5.4 Kernelsofpseudo-differentialoperators
5.5 Symboliccalculus
5.6 Amplitudesandamplitudeoperators
5.7 Calderon-Vaillancourt theorem
5.8 Parametrices, ellipticity and hypoellipticity
6 Pseudo-differential operators on the Heisenberg group
6.1 Preliminaries
6.2 DualoftheHeisenberggroup
6.3 Differenceoperators
6.4 Shubin classes
6.5 Quantization and symbol classes on the Heisenberg group
6.6 Parametrices
A Miscellaneous
B Group C∗ and von Neumann algebrasNuméro de notice : 22745 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Monographie En ligne : http://dx.doi.org/10.1007/978-3-319-29558-9 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=86056 Documents numériques
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Titre : Automatic extraction of man-made objects from aerial and space images (2) : workshop, Ascona, Switzerland, 4 - 9 mai 1997 Type de document : Actes de congrès Auteurs : Armin W. Gruen, Éditeur scientifique ; Emmanuel P. Baltsavias, Éditeur scientifique ; Olof Henricsson, Éditeur scientifique Editeur : Berlin, Zurich, Stuttgart : Birkhaüser Année de publication : 1997 Conférence : Workshop 1997 on Automatic extraction of man-made objects from aerial and space images 2 04/05/1997 09/05/1997 Ascona Suisse Importance : 390 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-7643-5788-7 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Traitement d'image
[Termes IGN] détail topographique artificiel
[Termes IGN] extraction automatique
[Termes IGN] extraction du réseau routier
[Termes IGN] milieu urbain
[Termes IGN] reconstruction 3D du bâti
[Termes IGN] synthèse d'imageNuméro de notice : 68122 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Actes DOI : 10.1007/978-3-0348-8906-3 En ligne : https://doi.org/10.1007/978-3-0348-8906-3 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=37193 Exemplaires(3)
Code-barres Cote Support Localisation Section Disponibilité 68122-01 CG.97 Livre Centre de documentation Congrès Disponible 68122-02 DEP-T Livre LASTIG Dépôt en unité Exclu du prêt 68122-03 DEP-T Livre LASTIG Dépôt en unité Exclu du prêt
contenu dans Automatic extraction of man-made objects from aerial and space images (2) / Armin W. Gruen (1997)
Titre : Recognizing buildings in aerial images Type de document : Article/Communication Auteurs : Franck Jung , Auteur ; Bruno Jedynak, Auteur ; Donald Geman, Auteur
Editeur : Berlin, Zurich, Stuttgart : Birkhaüser Année de publication : 1997 Importance : pp 173 - 182 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Traitement d'image
[Termes IGN] bati
[Termes IGN] image aérienne
[Termes IGN] reconnaissance de formesRésumé : (auteur) We present a monoscopic algorithm to detect buildings in small aerial images. After recoding the original picture, we try to match a given number of graphs. Depending on the level of matching, the given picture is classified as building or background. The graphs are constructed based on a learning set and using an entropy criterion to separate building images and background images by recursive partitioning. In the future we hope to extend our algorithm to full-scale aerial images. Numéro de notice : C1997-079 Affiliation des auteurs : MATIS+Ext (1993-2011) Thématique : IMAGERIE Nature : Communication nature-HAL : ComAvecCL&ActesPubliésIntl DOI : 10.1007/978-3-0348-8906-3_17 En ligne : https://doi.org/10.1007/978-3-0348-8906-3_17 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=102989
Titre : Automatic extraction of man-made objects from aerial and space images : workshop, Ascona, Switzerland, April 1995 Type de document : Actes de congrès Auteurs : Armin W. Gruen, Éditeur scientifique ; Olaf Kuebler, Éditeur scientifique ; Peggy Agouris, Éditeur scientifique Editeur : Berlin, Zurich, Stuttgart : Birkhaüser Année de publication : 1995 Conférence : Workshop 1995 on Automatic extraction of man-made objects from aerial and space images 04/05/1997 09/05/1997 Ascona Suisse Importance : 320 p. Format : 16 x 24 cm ISBN/ISSN/EAN : 978-3-7643-5264-6 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Traitement d'image
[Termes IGN] appariement de formes
[Termes IGN] détail topographique artificiel
[Termes IGN] détection du bâti
[Termes IGN] extraction automatique
[Termes IGN] extraction du réseau routier
[Termes IGN] méthode des moindres carrés
[Termes IGN] milieu urbain
[Termes IGN] objet géographique linéaire
[Termes IGN] reconstruction 3D du bâtiNuméro de notice : 66556 Affiliation des auteurs : non IGN Thématique : IMAGERIE Nature : Actes DOI : 10.1007/978-3-0348-9242-1 En ligne : https://doi.org/10.1007/978-3-0348-9242-1 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=36959 Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 66556-01 CG.95 Livre Centre de documentation Congrès Disponible Building extraction from stereo pairs of aerial images: Accuracy and productivity constraint of a topographic production line / Olivier Jamet (1995)
contenu dans Automatic extraction of man-made objects from aerial and space images / Armin W. Gruen (1995)
Titre : Building extraction from stereo pairs of aerial images: Accuracy and productivity constraint of a topographic production line Type de document : Article/Communication Auteurs : Olivier Jamet Editeur : Berlin, Zurich, Stuttgart : Birkhaüser Année de publication : 1995 Conférence : Workshop 1995 on Automatic extraction of man-made objects from aerial and space images 04/05/1997 09/05/1997 Ascona Suisse Importance : pp 231 - 240 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Traitement d'image optique
[Termes IGN] corrélation à l'aide de traits caractéristiques
[Termes IGN] couple stéréoscopique
[Termes IGN] courbe épipolaire
[Termes IGN] image aérienneRésumé : (auteur) This paper presents the research that has been lead for a few years at IGN on automatic building extraction from aerial photographs. A description of the operational context and of the topographic application that is aimed at introduces the main constraints to be overcome. We give then a quick sketch of the building extraction process that has been worked out up to now, and develop its quality assessment on a test site. The analysis of the results underlines the part played by the planar approximation of disparities resulting of an area-based correlation process in the fulfilment of the accuracy requirements. Further research will focus on reliability improvement and on more complex shape handling. Numéro de notice : C1995-065 Affiliation des auteurs : MATIS (1993-2011) Thématique : IMAGERIE/INFORMATIQUE Nature : Communication nature-HAL : ComAvecCL&ActesPubliésIntl DOI : 10.1007/978-3-0348-9242-1_22 En ligne : https://doi.org/10.1007/978-3-0348-9242-1_22 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=102990
