Edit Profile (opens in new tab) Burnol, Jean-François Co-Author Distance Author ID: burnol.jean-francois Published as: Burnol, Jean-François; Burnol, J.-F. Documents Indexed: 37 Publications since 1991, including 1 Book and 16 Additional arXiv Preprints Co-Authors: 3 Co-Authors with 1 Joint Publication 122 Co-Co-Authors Co-Authors 36 single-authored 1 Abramovich, Dan 1 Kramer, Jürg 1 Soulé, Christophe all top 5 Serials 2 IMRN. International Mathematics Research Notices 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Cientifica Venezolana 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Forum Mathematicum 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 Annales Henri Poincaré 1 Cambridge Studies in Advanced Mathematics 1 Complex Analysis and Operator Theory all top 5 Fields 23 Number theory (11-XX) 6 Integral transforms, operational calculus (44-XX) 6 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Algebraic geometry (14-XX) 3 Abstract harmonic analysis (43-XX) 2 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 188 times in 146 Documents Cited by ▼ Year ▼ Lectures on Arakelov geometry. Zbl 0812.14015 Soulé, C.; Abramovich, Dan; Burnol, J.-F.; Kramer, Jürg 87 1992 On Fourier and Zeta(s). Zbl 1077.11058 Burnol, Jean-François 15 2004 A lower bound in an approximation problem involving the zeros of the Riemann zeta function. Zbl 1029.11045 Burnol, Jean-François 11 2002 On the “Sonine spaces” associated by de Branges to the Fourier transform. (Sur les “espaces de Sonine” associés par de Branges à la transformation de Fourier.) Zbl 1032.46054 Burnol, Jean-François 10 2002 Co-Poisson intertwining. (Entrelacement de co-Poisson.) Zbl 1177.11074 Burnol, Jean-François 9 2007 On the explicit formulae. I: Invariant analysis. (Sur les formules explicites. I: Analyse invariante.) Zbl 0992.11064 Burnol, Jean-François 8 2000 An adelic causality problem related to abelian \(L\)-functions. Zbl 1038.11057 Burnol, Jean-François 6 2001 On some Hilbert spaces of entire functions associated with the Fourier transform and Dirichlet and Riemann \(L\)-functions. (Sur certains espaces de Hilbert de fonctions entières, liés à la transformation de Fourier et aux fonctions \(L\) de Dirichlet et de Riemann.) Zbl 1057.11039 Burnol, Jean-François 6 2001 Two complete and minimal systems associated with the zeros of the Riemann zeta function. Zbl 1156.11330 Burnol, Jean-François 6 2004 Weierstrass points on arithmetic surfaces. Zbl 0723.14019 Burnol, Jean-François 6 1992 Remarks on the stability in arithmetics. (Remarques sur la stabilité en arithmétique.) Zbl 0764.14006 Burnol, Jean-François 6 1992 Dirac and Schrödinger equations for the Fourier transform. (Des équations de Dirac et de Schrödinger pour la transformation de Fourier.) Zbl 1083.34063 Burnol, Jean-François 6 2003 Scattering on the \(p\)-adic field and a trace formula. Zbl 1038.11033 Burnol, Jean-François 5 2000 Quaternionic gamma functions and their logarithmic derivatives as spectral functions. Zbl 1024.11075 Burnol, Jean-François 2 2001 On an analytic estimate in the theory of the Riemann zeta function and a theorem of Báez-Duarte. Zbl 1267.11090 Burnol, Jean-François 2 2003 A note on Nyman’s equivalent formulation of the Riemann hypothesis. Zbl 1035.11036 Burnol, Jean-François 1 2001 Spacetime causality in the study of the Hankel transform. Zbl 1115.70012 Burnol, Jean-François 1 2006 Paley-Wiener spaces with vanishing conditions and Painlevé VI transcendents. Zbl 1222.46020 Burnol, Jean-François 1 2011 Paley-Wiener spaces with vanishing conditions and Painlevé VI transcendents. Zbl 1222.46020 Burnol, Jean-François 1 2011 Co-Poisson intertwining. (Entrelacement de co-Poisson.) Zbl 1177.11074 Burnol, Jean-François 9 2007 Spacetime causality in the study of the Hankel transform. Zbl 1115.70012 Burnol, Jean-François 1 2006 On Fourier and Zeta(s). Zbl 1077.11058 Burnol, Jean-François 15 2004 Two complete and minimal systems associated with the zeros of the Riemann zeta function. Zbl 1156.11330 Burnol, Jean-François 6 2004 Dirac and Schrödinger equations for the Fourier transform. (Des équations de Dirac et de Schrödinger pour la transformation de Fourier.) Zbl 1083.34063 Burnol, Jean-François 6 2003 On an analytic estimate in the theory of the Riemann zeta function and a theorem of Báez-Duarte. Zbl 1267.11090 Burnol, Jean-François 2 2003 A lower bound in an approximation problem involving the zeros of the Riemann zeta function. Zbl 1029.11045 Burnol, Jean-François 11 2002 On the “Sonine spaces” associated by de Branges to the Fourier transform. (Sur les “espaces de Sonine” associés par de Branges à la transformation de Fourier.) Zbl 1032.46054 Burnol, Jean-François 10 2002 An adelic causality problem related to abelian \(L\)-functions. Zbl 1038.11057 Burnol, Jean-François 6 2001 On some Hilbert spaces of entire functions associated with the Fourier transform and Dirichlet and Riemann \(L\)-functions. (Sur certains espaces de Hilbert de fonctions entières, liés à la transformation de Fourier et aux fonctions \(L\) de Dirichlet et de Riemann.) Zbl 1057.11039 Burnol, Jean-François 6 2001 Quaternionic gamma functions and their logarithmic derivatives as spectral functions. Zbl 1024.11075 Burnol, Jean-François 2 2001 A note on Nyman’s equivalent formulation of the Riemann hypothesis. Zbl 1035.11036 Burnol, Jean-François 1 2001 On the explicit formulae. I: Invariant analysis. (Sur les formules explicites. I: Analyse invariante.) Zbl 0992.11064 Burnol, Jean-François 8 2000 Scattering on the \(p\)-adic field and a trace formula. Zbl 1038.11033 Burnol, Jean-François 5 2000 Lectures on Arakelov geometry. Zbl 0812.14015 Soulé, C.; Abramovich, Dan; Burnol, J.-F.; Kramer, Jürg 87 1992 Weierstrass points on arithmetic surfaces. Zbl 0723.14019 Burnol, Jean-François 6 1992 Remarks on the stability in arithmetics. (Remarques sur la stabilité en arithmétique.) Zbl 0764.14006 Burnol, Jean-François 6 1992 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 9 Burnol, Jean-François 5 Soulé, Christophe 5 Yang, Tonghai 4 Bost, Jean-Benoît 4 Bruinier, Jan Hendrik 4 Hajli, Mounir 4 Kramer, Jürg 3 de Roton, Anne 3 Howard, Benjamin 3 Lagarias, Jeffrey C. 3 Liu, Chunhui 3 Ma, Xiaonan 3 Shi, Yousheng 3 Suzuki, Masatoshi 2 Albeverio, Sergio A. 2 Balazard, Michel 2 Berman, Robert J. 2 Bombieri, Enrico 2 Chambert-Loir, Antoine 2 Chen, Huayi 2 Connes, Alain 2 Gillet, Henri A. 2 He, Qiao 2 Jorgenson, Jay Alan 2 Köhler, Kai 2 Kühn, Ulf 2 Kurano, Kazuhiko 2 Li, Chao 2 Li, Wen-Ch’ing Winnie 2 Liu, Bo 2 Maier, Helmut 2 Meo, Michel 2 Puchol, Martin 2 Rassias, Michael Th. 2 Romão, Nuno M. 2 Rössler, Damian Charles 1 Ahlgren, Scott D. 1 Andersson, Mats 1 Andreatta, Fabrizio 1 Aschheim, Raymond 1 Bayart, Frédéric 1 Bergvelt, Maarten J. 1 Bettin, Sandro 1 Blower, Gordon 1 Bunke, Ulrich 1 Burgos Gil, José Ignacio 1 Cacciapuoti, Claudio 1 Castro Perelman, Carlos 1 Cebulla, Christof 1 Chacón-Cortes, Leonardo Fabio 1 Chinburg, Ted 1 Conrey, John Brian 1 Consani, Caterina 1 Curri, Elira 1 Darses, Sébastien 1 de Cataldo, Mark Andrea A. 1 Deitmar, Anton 1 Delaunay, Christophe 1 Deopurkar, Anand 1 Eriksson, Dennis 1 Farmer, David W. 1 Feliu, Elisenda 1 Finski, Siarhei 1 Flach, Matthias 1 Freixas i Montplet, Gerard 1 Fricain, Emmanuel 1 Garcia, E. Munoz 1 Garcia, Luis E. 1 Gasbarri, Carlo 1 Goncharov, Alexander Borisovich 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Goren, Eyal Z. 1 Gubler, Walter Bruno 1 Guletskiĭ, N. V. 1 Haran, Shai 1 Hillion, Erwan 1 Holmstrom, Andreas 1 Hsiao, Chin-Yu 1 Huang, Rung-Tzung 1 Irwin, Klee 1 Jahnel, Jörg 1 Khrennikov, Andreĭ Yur’evich 1 Kim, Kyounghwa 1 Kosyak, Alexandre V. 1 Kühne, Lars 1 Kulikov, Viktor Stepanovich 1 Landreau, Bernard 1 Lercier, Reynald 1 Li, Jiayu 1 Liţcanu, Răzvan 1 Liu, Qing 1 Lorenzo García, Elisa 1 Madapusi Pera, Keerthi 1 Maillot, Vincent 1 Makarov, Nikolai Georgievich 1 Malinnikova, Eugenia 1 Matomäki, Kaisa 1 McKinnon, David 1 McMullen, Curtis Tracy 1 Meyer, Ralf ...and 59 more Authors all top 5 Cited in 67 Serials 9 Duke Mathematical Journal 8 Journal of Number Theory 6 Inventiones Mathematicae 6 Journal of Functional Analysis 6 Transactions of the American Mathematical Society 5 Advances in Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Compositio Mathematica 4 Mathematische Annalen 4 Mathematische Zeitschrift 3 Communications in Mathematical Physics 3 Annales de l’Institut Fourier 3 Manuscripta Mathematica 3 Expositiones Mathematicae 2 Journal of Mathematical Analysis and Applications 2 Acta Arithmetica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Journal of the London Mathematical Society. Second Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Bulletin des Sciences Mathématiques 2 The Journal of Fourier Analysis and Applications 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 International Journal of Number Theory 2 Proceedings of the Steklov Institute of Mathematics 2 Research in the Mathematical Sciences 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Algebra 1 Journal of Differential Geometry 1 Memoirs of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Trudy Instituta Matematiki 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Algebra & Number Theory 1 Albanian Journal of Mathematics 1 Confluentes Mathematici 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Complex Manifolds 1 Journal of Siberian Federal University. Mathematics & Physics 1 Korean Journal of Mathematics all top 5 Cited in 30 Fields 78 Number theory (11-XX) 72 Algebraic geometry (14-XX) 20 Several complex variables and analytic spaces (32-XX) 20 Global analysis, analysis on manifolds (58-XX) 12 Functions of a complex variable (30-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 8 Ordinary differential equations (34-XX) 8 Quantum theory (81-XX) 7 \(K\)-theory (19-XX) 6 Differential geometry (53-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Commutative algebra (13-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year