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Leichtnam, Eric

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Author ID: leichtnam.eric Recent zbMATH articles by "Leichtnam, Eric"
Published as: Leichtnam, E.; Leichtnam, Eric; Leichtnam, Éric
External Links: MGP · Wikidata
Documents Indexed: 55 Publications since 1984

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 372 times in 281 Documents Cited by Year
Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103
Gérard, Patrick; Leichtnam, Eric
78
1993
The noncommutative residue for manifolds with boundary. Zbl 0877.58005
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar
45
1996
The signature package on Witt spaces. Zbl 1260.58012
Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo
37
2012
On higher eta-invariants and metrics of positive scalar curvature. Zbl 1010.58019
Leichtnam, Eric; Piazza, Paolo
15
2001
Commuting and noncommuting infinitesimals. Zbl 1280.26047
Katz, Mikhail G.; Leichtnam, Eric
14
2013
Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0913.58055
Leichtnam, E.; Piazza, P.
13
1998
Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian manifolds. Zbl 0889.32037
Golse, François; Leichtnam, Eric; Stenzel, Matthews
12
1996
Le problème de Cauchy ramifié. (The ramified Cauchy problem). Zbl 0717.35018
Leichtnam, Eric
12
1990
Dirac index classes and the noncommutative spectral flow. Zbl 1030.58018
Leichtnam, Eric; Piazza, Paolo
11
2003
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
10
2017
The \(b\)-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem. Zbl 0942.58003
Leichtnam, Éric; Piazza, Paolo
10
1997
The index of Dirac operators on manifolds with fibered boundaries. Zbl 1126.58009
Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
9
2006
Hodge theory on Cheeger spaces. Zbl 1434.58001
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
7
2018
Étale groupoids, eta invariants and index theory. Zbl 1088.58010
Leichtnam, Eric; Piazza, Paolo
7
2005
On the homotopy invariance of higher signatures for manifolds with boundary. Zbl 1032.58012
Leichtnam, Eric; Lott, John; Piazza, Paolo
7
2000
Poisson geometry and deformation quantization near a strictly pseudoconvex boundary. Zbl 1146.53072
Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
6
2007
Local formula for the index of a Fourier integral operator. Zbl 1030.58015
Leichtnam, Eric; Nest, Ryszard; Tsygan, Boris
6
2001
Homotopy invariance of twisted higher signatures on manifolds with boundary. Zbl 0945.58020
Leichtnam, Éric; Piazza, Paolo
6
1999
Extension of spontaneous symmetry breaking of Bost-Connes in case of arbitrary global fields. Zbl 0924.46051
Harari, David; Leichtnam, Eric
6
1997
The ramified semilinear Cauchy problem of second order. Zbl 0804.35006
Leichtnam, Éric
6
1991
A classification of the commutative Banach perfect semi-fields of characteristic 1: applications. Zbl 1374.46053
Leichtnam, Eric
4
2017
Refined intersection homology on non-Witt spaces. Zbl 1316.55002
Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
4
2015
Scaling group flow and Lefschetz trace formula for laminated spaces with \(p\)-adic transversal. Zbl 1131.14024
Leichtnam, Eric
4
2007
Elliptic operators and higher signatures. Zbl 1069.58014
Leichtnam, Eric; Piazza, Paolo
4
2004
On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040
Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias
4
2002
A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings. Zbl 0957.58017
Leichtnam, Eric; Piazza, Paolo
4
2000
Construction de solutions singulières pour des équations aux dérivées partielles non linéaires. (Construction of singular solutions for nonlinear partial differential equations). Zbl 0643.35025
Leichtnam, Eric
4
1987
Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d’ordre deux à bord peu régulier. (Microlocal regularity of nonlinear Dirichlet problems non characteristic of order two with non-smooth boundary). Zbl 0636.35056
Leichtnam, Eric
4
1987
An invitation to Deninger’s work on arithmetic zeta functions. Zbl 1090.11052
Leichtnam, Eric
3
2005
Riemannian foliations of bounded geometry. Zbl 1304.53020
Álvarez López, Jesús A.; Kordyukov, Yuri A.; Leichtnam, Eric
2
2014
Asymptotic equivariant index of Toeplitz operators and relative index of CR structures. Zbl 1257.58015
Boutet de Monvel, Louis; Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
2
2011
Applications of Connes’ geodesic flow to trace formulas in noncommutative geometry. Zbl 0928.58007
Golse, François; Leichtnam, Eric
2
1998
Higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0896.58061
Leichtnam, Eric; Piazza, Paolo
2
1997
The noncommutative residue for manifolds with boundary. Zbl 0841.58060
Fedosov, Boris; Golse, François; Leichtnam, Éric; Schrohe, Elmar
2
1995
Front d’onde d’une sous-variété. Applications aux équations aux derivées partielles non linéaires. Zbl 0589.58030
Leichtnam, Eric
2
1985
Interactions de singularités pour une classe d’équations à caractéristiques doubles. Zbl 0553.35090
Leichtnam, Eric
2
1985
Cut-and-paste on foliated bundles. Zbl 1074.58010
Leichtnam, Eric; Piazza, Paolo
1
2005
Crossed product algebras and the homology of certain \(p\)-adic and adélic dynamical systems. Zbl 1003.46038
Leichtnam, Eric; Nistor, Victor
1
2000
Higher eta invariants and the Novikov conjecture on manifolds with boundary. Zbl 0920.58046
Leichtnam, Eric; Piazza, Paolo
1
1998
The ramified linear Cauchy problem for given data with algebraic singularities. Zbl 0789.35009
Leichtnam, Eric
1
1993
Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques. (The ramified linear Cauchy problem for given data with algebraic singularities). Zbl 0819.35007
Leichtnam, Eric
1
1992
Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d’ordre deux á bord peu régulier. (Microlocal regularity for nonlinear and non characteristic Dirichlet problems of the second order, with a non smooth boundary). Zbl 0605.35026
Leichtnam, Éric
1
1986
Hodge theory on Cheeger spaces. Zbl 1434.58001
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
7
2018
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
10
2017
A classification of the commutative Banach perfect semi-fields of characteristic 1: applications. Zbl 1374.46053
Leichtnam, Eric
4
2017
Refined intersection homology on non-Witt spaces. Zbl 1316.55002
Albin, Pierre; Banagl, Markus; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
4
2015
Riemannian foliations of bounded geometry. Zbl 1304.53020
Álvarez López, Jesús A.; Kordyukov, Yuri A.; Leichtnam, Eric
2
2014
Commuting and noncommuting infinitesimals. Zbl 1280.26047
Katz, Mikhail G.; Leichtnam, Eric
14
2013
The signature package on Witt spaces. Zbl 1260.58012
Albin, Pierre; Leichtnam, Éric; Mazzeo, Rafe; Piazza, Paolo
37
2012
Asymptotic equivariant index of Toeplitz operators and relative index of CR structures. Zbl 1257.58015
Boutet de Monvel, Louis; Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
2
2011
Poisson geometry and deformation quantization near a strictly pseudoconvex boundary. Zbl 1146.53072
Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
6
2007
Scaling group flow and Lefschetz trace formula for laminated spaces with \(p\)-adic transversal. Zbl 1131.14024
Leichtnam, Eric
4
2007
The index of Dirac operators on manifolds with fibered boundaries. Zbl 1126.58009
Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
9
2006
Étale groupoids, eta invariants and index theory. Zbl 1088.58010
Leichtnam, Eric; Piazza, Paolo
7
2005
An invitation to Deninger’s work on arithmetic zeta functions. Zbl 1090.11052
Leichtnam, Eric
3
2005
Cut-and-paste on foliated bundles. Zbl 1074.58010
Leichtnam, Eric; Piazza, Paolo
1
2005
Elliptic operators and higher signatures. Zbl 1069.58014
Leichtnam, Eric; Piazza, Paolo
4
2004
Dirac index classes and the noncommutative spectral flow. Zbl 1030.58018
Leichtnam, Eric; Piazza, Paolo
11
2003
On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040
Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias
4
2002
On higher eta-invariants and metrics of positive scalar curvature. Zbl 1010.58019
Leichtnam, Eric; Piazza, Paolo
15
2001
Local formula for the index of a Fourier integral operator. Zbl 1030.58015
Leichtnam, Eric; Nest, Ryszard; Tsygan, Boris
6
2001
On the homotopy invariance of higher signatures for manifolds with boundary. Zbl 1032.58012
Leichtnam, Eric; Lott, John; Piazza, Paolo
7
2000
A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings. Zbl 0957.58017
Leichtnam, Eric; Piazza, Paolo
4
2000
Crossed product algebras and the homology of certain \(p\)-adic and adélic dynamical systems. Zbl 1003.46038
Leichtnam, Eric; Nistor, Victor
1
2000
Homotopy invariance of twisted higher signatures on manifolds with boundary. Zbl 0945.58020
Leichtnam, Éric; Piazza, Paolo
6
1999
Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0913.58055
Leichtnam, E.; Piazza, P.
13
1998
Applications of Connes’ geodesic flow to trace formulas in noncommutative geometry. Zbl 0928.58007
Golse, François; Leichtnam, Eric
2
1998
Higher eta invariants and the Novikov conjecture on manifolds with boundary. Zbl 0920.58046
Leichtnam, Eric; Piazza, Paolo
1
1998
The \(b\)-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem. Zbl 0942.58003
Leichtnam, Éric; Piazza, Paolo
10
1997
Extension of spontaneous symmetry breaking of Bost-Connes in case of arbitrary global fields. Zbl 0924.46051
Harari, David; Leichtnam, Eric
6
1997
Higher Atiyah-Patodi-Singer index theory on Galois coverings. Zbl 0896.58061
Leichtnam, Eric; Piazza, Paolo
2
1997
The noncommutative residue for manifolds with boundary. Zbl 0877.58005
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar
45
1996
Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian manifolds. Zbl 0889.32037
Golse, François; Leichtnam, Eric; Stenzel, Matthews
12
1996
The noncommutative residue for manifolds with boundary. Zbl 0841.58060
Fedosov, Boris; Golse, François; Leichtnam, Éric; Schrohe, Elmar
2
1995
Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103
Gérard, Patrick; Leichtnam, Eric
78
1993
The ramified linear Cauchy problem for given data with algebraic singularities. Zbl 0789.35009
Leichtnam, Eric
1
1993
Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques. (The ramified linear Cauchy problem for given data with algebraic singularities). Zbl 0819.35007
Leichtnam, Eric
1
1992
The ramified semilinear Cauchy problem of second order. Zbl 0804.35006
Leichtnam, Éric
6
1991
Le problème de Cauchy ramifié. (The ramified Cauchy problem). Zbl 0717.35018
Leichtnam, Eric
12
1990
Construction de solutions singulières pour des équations aux dérivées partielles non linéaires. (Construction of singular solutions for nonlinear partial differential equations). Zbl 0643.35025
Leichtnam, Eric
4
1987
Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d’ordre deux à bord peu régulier. (Microlocal regularity of nonlinear Dirichlet problems non characteristic of order two with non-smooth boundary). Zbl 0636.35056
Leichtnam, Eric
4
1987
Régularité microlocale pour des problèmes de Dirichlet non linéaires non caractéristiques d’ordre deux á bord peu régulier. (Microlocal regularity for nonlinear and non characteristic Dirichlet problems of the second order, with a non smooth boundary). Zbl 0605.35026
Leichtnam, Éric
1
1986
Front d’onde d’une sous-variété. Applications aux équations aux derivées partielles non linéaires. Zbl 0589.58030
Leichtnam, Eric
2
1985
Interactions de singularités pour une classe d’équations à caractéristiques doubles. Zbl 0553.35090
Leichtnam, Eric
2
1985
all top 5

Cited by 297 Authors

12 Katz, Mikhail G.
12 Wang, Yong
11 Leichtnam, Eric
10 Piazza, Paolo
9 Wang, Jian
8 Fermanian-Kammerer, Clotilde
8 Mazzeo, Rafe R.
8 Schrohe, Elmar
7 Burq, Nicolas
7 Kanovei, Vladimir G.
7 Macià, Fabricio
6 Bei, Francesco
6 Hassell, Andrew
6 Rochon, Frédéric
6 Zelditch, Steve
5 Sherry, David M.
5 Tacy, Melissa
4 Albin, Pierre
4 Kutateladze, Semën Samsonovich
4 Lebeau, Gilles
4 Wahl, Charlotte
4 Xie, Zhizhang
4 Yu, Guoliang
3 Anantharaman, Nalini
3 Azzali, Sara
3 Banagl, Markus
3 Bao, Kaihua
3 Battisti, Ubertino
3 Błaszczyk, Piotr
3 Borovik, Alexandre Vasilievich
3 Coriasco, Sandro
3 De Bièvre, Stephan
3 Deeley, Robin J.
3 Fischer, Véronique
3 Friedman, Greg
3 Goffeng, Magnus
3 Gorokhovsky, Alexander
3 Grubb, Gerd
3 Hall, Brian C.
3 Karabegov, Alexander V.
3 Katz, Karin Usadi
3 Laca, Marcelo
3 Levy, Cyril
3 McClure, James E.
3 Mitchell, Jeffrey J.
3 Ponge, Raphaël S.
3 Sanders, Sam
3 Schick, Thomas
3 Stenzel, Matthew B.
3 Sun, Aihui
3 Toth, John Andrew
3 Trélat, Emmanuel
3 Uchikoshi, Keisuke
3 Vertman, Boris
3 Zworski, Maciej
2 Akutagawa, Kazuo
2 Bascelli, Tiziana
2 Benameur, Moulay-Tahar
2 Berkolaiko, Gregory
2 Camalès, Renaud
2 Carron, Gilles
2 Castella, François
2 Cavalcanti, Marcelo Moreira
2 Christianson, Hans
2 Colin de Verdière, Yves
2 Di Nola, Antonio
2 Domingos Cavalcanti, Valéria Neves
2 Esposti, M. Degli
2 Galkowski, Jeffrey
2 Gerard, Patrick
2 Han, Xiaolong
2 Hezari, Hamid
2 Hillairet, Luc
2 Hunsicker, Eugenie
2 Iochum, Bruno
2 Jecko, Thierry
2 Kala, Vítězslav
2 Keating, Jonathan P.
2 Keraani, Sahbi
2 Kudryk, Taras S.
2 Larraín-Hubach, Andrés
2 Léautaud, Matthieu
2 Lenzi, Giacomo
2 Lesch, Matthias
2 Lescure, Jean-Marie
2 Lott, John
2 Mondello, Ilaria
2 Moriyoshi, Hitoshi
2 Mormann, Thomas
2 Moroianu, Sergiu
2 Nam, Tran Giang
2 Neira Jiménez, Carolina
2 Nonnenmacher, Stéphane
2 Nowik, Tahl
2 Paycha, Sylvie
2 Privat, Yannick
2 Raeburn, Iain
2 Savin, Anton Yur’evich
2 Schaps, David M.
2 Schubert, Roman
...and 197 more Authors
all top 5

Cited in 99 Serials

21 Journal of Functional Analysis
14 Communications in Mathematical Physics
11 Advances in Mathematics
10 Journal of Geometry and Physics
10 Communications in Partial Differential Equations
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Journal of Noncommutative Geometry
8 Letters in Mathematical Physics
8 Duke Mathematical Journal
7 Journal of Mathematical Physics
6 Annales de l’Institut Fourier
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Foundations of Science
6 Journal of Pseudo-Differential Operators and Applications
5 Archive for Rational Mechanics and Analysis
5 Proceedings of the American Mathematical Society
5 Journal of Topology and Analysis
4 Mathematische Annalen
4 Annals of Global Analysis and Geometry
4 The Journal of Geometric Analysis
4 Bulletin des Sciences Mathématiques
4 Annales Henri Poincaré
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Reviews in Mathematical Physics
3 Bulletin de la Société Mathématique de France
3 Journal of Differential Equations
3 Journal für die Reine und Angewandte Mathematik
3 Transactions of the American Mathematical Society
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Geometry & Topology
3 International Journal of Geometric Methods in Modern Physics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Spectral Theory
2 Nonlinearity
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Inventiones Mathematicae
2 Rendiconti del Seminario Matematico della Università di Padova
2 Forum Mathematicum
2 International Journal of Mathematics
2 Geometric and Functional Analysis. GAFA
2 Journal of \(K\)-Theory
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Acta Mathematica
1 Commentarii Mathematici Helvetici
1 Commentationes Mathematicae Universitatis Carolinae
1 Compositio Mathematica
1 Geometriae Dedicata
1 Journal of Algebra
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Notre Dame Journal of Formal Logic
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 SIAM Journal on Control and Optimization
1 Tohoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Journal of the American Mathematical Society
1 Annals of Physics
1 Historia Mathematica
1 Bulletin of the American Mathematical Society. New Series
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Indagationes Mathematicae. New Series
1 New Zealand Journal of Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Documenta Mathematica
1 Matematychni Studiï
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Erkenntnis
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of the Institute of Mathematics of Jussieu
1 Mediterranean Journal of Mathematics
1 Communications in Mathematical Analysis
1 Logica Universalis
1 Frontiers of Mathematics in China
1 Journal of Topology
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Communications in Mathematics and Statistics
1 Annales Mathématiques du Québec
1 Evolution Equations and Control Theory
1 Mathematics
1 Open Mathematics
1 Séminaire Laurent Schwartz. EDP et Applications
1 Annales Henri Lebesgue
all top 5

Cited in 45 Fields

145 Global analysis, analysis on manifolds (58-XX)
97 Partial differential equations (35-XX)
59 Differential geometry (53-XX)
47 Functional analysis (46-XX)
44 Quantum theory (81-XX)
24 \(K\)-theory (19-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Manifolds and cell complexes (57-XX)
19 Operator theory (47-XX)
18 Several complex variables and analytic spaces (32-XX)
15 Algebraic topology (55-XX)
12 Number theory (11-XX)
9 Algebraic geometry (14-XX)
9 Topological groups, Lie groups (22-XX)
9 Systems theory; control (93-XX)
8 Mathematical logic and foundations (03-XX)
8 Real functions (26-XX)
7 History and biography (01-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Abstract harmonic analysis (43-XX)
4 General and overarching topics; collections (00-XX)
4 Associative rings and algebras (16-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Mechanics of deformable solids (74-XX)
3 Field theory and polynomials (12-XX)
3 Category theory; homological algebra (18-XX)
3 Functions of a complex variable (30-XX)
3 Ordinary differential equations (34-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 Potential theory (31-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Integral transforms, operational calculus (44-XX)
1 Numerical analysis (65-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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