Edit Profile (opens in new tab) Müller, Detlef Compute Distance To: Compute Author ID: muller.detlef Published as: Müller, Detlef; Müller, D.; Mueller, D. more...less Homepage: https://www.math.uni-kiel.de/analysis/de/mueller/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 99 Publications since 1980, including 3 Books 6 Contributions as Editor Co-Authors: 46 Co-Authors with 79 Joint Publications 1,007 Co-Co-Authors all top 5 Co-Authors 25 single-authored 16 Ricci, Fulvio 7 Martini, Alessio 7 Peloso, Marco Maria 6 Buschenhenke, Stefan 6 Ikromov, Isroil A. 6 Stein, Elias Menachem 6 Thiele, Christoph Martin 5 Christ, Michael 5 Ludwig, Jean 4 Seeger, Andreas 3 Cowling, Michael G. 3 Yang, Dachun 2 Dendrinos, Spyridon 2 Han, Yongsheng 2 Karadzhov, Georgi Eremiev 2 Kempe, Michael 2 Leptin, Horst 2 Prestini, Elena 2 Zhang, Zhenqiu 1 Ahrens, Julian 1 Boidol, Joachim 1 Coulhon, Thierry 1 Damek, Ewa 1 D’Ancona, Piero 1 Disney, Shaun 1 Duong, Xuan Thinh 1 Farwig, Reinhard 1 Galé, José E. 1 Gorges, Dirk 1 Hebisch, Waldemar 1 Hishida, Toshiaki 1 Hueber, Hermann 1 Hulanicki, Andrzej 1 Kirsch, Werner 1 Mauceri, Giancarlo 1 Meaney, Christopher 1 Miana, Pedro J. 1 Nicolussi Golo, Sebastiano 1 Parcet, Javier 1 Soria, Fernando 1 Souaifi, Sofiane 1 The Anh Bui 1 Vallarino, Maria 1 Wang, Kunyang 1 Wright, James Robert 1 Zienkiewicz, Jacek all top 5 Serials 8 Journal für die Reine und Angewandte Mathematik 8 Mathematische Annalen 6 Oberwolfach Reports 5 Journal of Functional Analysis 4 Studia Mathematica 4 Inventiones Mathematicae 4 Mathematische Zeitschrift 4 Transactions of the American Mathematical Society 4 Geometric and Functional Analysis. GAFA 3 Annales de l’Institut Fourier 3 Proceedings of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 Revista Matemática Iberoamericana 3 The Journal of Fourier Analysis and Applications 2 Arkiv för Matematik 2 Advances in Mathematics 2 Colloquium Mathematicum 2 Pacific Journal of Mathematics 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Annals of Mathematics. Second Series 2 Analysis & PDE 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Acta Mathematica 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Research Letters 1 Documenta Mathematica 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 La Gaceta de la Real Sociedad Matemática Española 1 Physical Review Letters 1 Annals of Mathematics Studies all top 5 Fields 60 Abstract harmonic analysis (43-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 42 Topological groups, Lie groups (22-XX) 37 Partial differential equations (35-XX) 6 General and overarching topics; collections (00-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,139 times in 710 Documents Cited by ▼ Year ▼ A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces. Zbl 1193.46018Han, Yongsheng; Müller, Detlef; Yang, Dachun 106 2008 Littlewood-Paley characterizations for Hardy spaces on spaces of homogeneous type. Zbl 1179.42016Han, Yongsheng; Müller, Detlef; Yang, Dachun 83 2006 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I. Zbl 0857.43012Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 76 1995 On spectral multipliers for Heisenberg and related groups. Zbl 0838.43011Müller, D.; Stein, Elias M. 56 1994 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II. Zbl 0863.43001Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 50 1996 \(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef 43 2004 Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis. Zbl 1223.42011Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef 41 2010 A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces. Zbl 1171.42013Müller, Detlef; Yang, Dachun 40 2009 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 30 1996 On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008Christ, M.; Müller, D. 30 1996 Uniform estimates for the Fourier transform of surface carried measures in \(\mathbb R^{3}\) and an application to Fourier restriction. Zbl 1241.42009Ikromov, Isroil A.; Müller, Detlef 24 2011 On adapted coordinate systems. Zbl 1222.35219Ikromov, Isroil A.; Müller, Detlef 23 2011 Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups. Zbl 0841.22006Müller, Detlef; Ricci, Fulvio 22 1996 Singular spherical maximal operators on a class of two step nilpotent Lie groups. Zbl 1054.22007Müller, Detlef; Seeger, Andreas 20 2004 \(L^p\)-estimates for the wave equation on the Heisenberg group. Zbl 0935.43003Müller, Detlef; Stein, Elias M. 19 1999 A geometric bound for maximal functions associated to convex bodies. Zbl 0728.42015Müller, Detlef 19 1990 Analysis of second order differential operators on Heisenberg groups. I. Zbl 0742.43006Müller, Detlef; Ricci, Fulvio 17 1990 Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra. Zbl 1352.42001Ikromov, Isroil A.; Müller, Detlef 17 2016 Damping oscillatory integrals. Zbl 0733.42011Cowling, Michael; Disney, Shaun; Mauceri, Giancarlo; Müller, Detlef 17 1990 Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary. Zbl 0639.31005Hueber, H.; Müller, D. 17 1989 Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups. Zbl 0681.53027Müller, Detlef 16 1989 A restriction theorem for the Heisenberg group. Zbl 0731.43003Müller, Detlef 16 1990 Analysis of second order differential operators on Heisenberg groups. II. Zbl 0790.43011Müller, D.; Ricci, F. 15 1992 Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups. Zbl 0957.22013Ludwig, J.; Müller, D. 14 2000 Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups. Zbl 1310.43003Martini, Alessio; Müller, Detlef 13 2014 Spectral multipliers on 2-step groups: topological versus homogeneous dimension. Zbl 1366.43002Martini, Alessio; Müller, Detlef 13 2016 Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces. Zbl 1152.42304Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef 13 2005 A sharp multiplier theorem for Grushin operators in arbitrary dimensions. Zbl 1315.43006Martini, Alessio; Müller, Detlef 12 2014 Sharp \(L^p\) bounds for the wave equation on groups of Heisenberg type. Zbl 1333.35309Müller, Detlef; Seeger, Andreas 11 2015 Singular kernels supported by homogeneous submanifolds. Zbl 0551.43005Müller, Detlef 10 1985 Wave equation and multiplier estimates on \(ax+b\) groups. Zbl 1112.43002Müller, Detlef; Thiele, Christoph 9 2007 Analysis of the Hodge Laplacian on the Heisenberg group. Zbl 1309.43005Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 9 2015 A Fourier restriction theorem for a two-dimensional surface of finite type. Zbl 1364.42010Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 9 2017 On the synthesis problem for orbits of Lie groups in \(R^ n\). Zbl 0478.43004Kirsch, W.; Mueller, D. 9 1980 On the Laplace-Beltrami operator on the oscillator group. Zbl 0644.58018Müller, D.; Ricci, F. 9 1988 On infinitely small orbits. Zbl 0662.22006Boidol, J.; Ludwig, J.; Müller, D. 9 1988 Uniform partitions of unity on locally compact groups. Zbl 0748.22003Leptin, Horst; Müller, Detlef 7 1991 Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups. Zbl 0848.43008Müller, Detlef; Ricci, Fulvio 7 1996 A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups. Zbl 0716.22003Müller, D. 7 1991 Sub-Laplacians of holomorphic \(L^p\)-type on exponential solvable groups. Zbl 1086.22006Hebisch, W.; Ludwig, J.; Müller, D. 7 2005 Pluriharmonic \(H^2\) functions on symmetric irreducible Siegel domains. Zbl 0969.31007Damek, E.; Hulanicki, A.; Müller, D.; Peloso, M. M. 7 2000 Uniform estimates for the local restriction of the Fourier transform to curves. Zbl 1277.42009Dendrinos, Spyridon; Müller, Detlef 7 2013 \(L^p\) spectral multipliers on the free group \(N_{3,2}\). Zbl 1285.43002Martini, Alessio; Müller, Detlef 7 2013 A Fourier restriction theorem for a perturbed hyperbolic paraboloid. Zbl 1442.42044Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 7 2020 Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition. Zbl 1036.35003Müller, Detlef; Ricci, Fulvio 6 2003 Inequalities for spherically symmetric solutions of the wave equation. Zbl 0828.35072Müller, Detlef; Seeger, Andreas 6 1995 Wave equation and multiplier estimates on Damek-Ricci spaces. Zbl 1191.43002Müller, Detlef; Vallarino, Maria 6 2010 Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers. Zbl 1027.58022Müller, Detlef; Seeger, Andreas 6 2001 On the flows associated to selfadjoint operators on metric measure spaces. Zbl 1430.42029Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef 5 2019 Uniqueness of solutions to Schrödinger equations on 2-step nilpotent Lie groups. Zbl 1304.43005Ludwig, Jean; Müller, Detlef 5 2014 On Riesz means of eigenfunction expansions for the Kohn-Laplacian. Zbl 0697.35102Müller, Detlef 5 1989 Another example in the solvability theory of PDO’s with double characteristics. Zbl 0862.43008Müller, Detlef 5 1995 On the spectral synthesis problem for hypersurfaces of \(R^n\). Zbl 0507.43003Müller, Detlef 5 1982 Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras. Zbl 0521.43009Mueller, D. 5 1983 Functional calculus of Lie groups and wave propagation. Zbl 0901.43001Müller, Detlef 5 1998 Local solvability of linear differential operators with double characteristics. I: Necessary conditions. Zbl 1139.35005Müller, Detlef 5 2007 A maximal restriction theorem and Lebesgue points of functions in \(\mathcal{F}(L^p)\). Zbl 1418.42011Müller, Detlef; Ricci, Fulvio; Wright, James 4 2019 The Hausdorff-Young inequality on Lie groups. Zbl 1427.22011Cowling, Michael G.; Martini, Alessio; Müller, Detlef; Parcet, Javier 4 2019 Eigenvalues of the Hodge Laplacian on the Heisenberg group. Zbl 1213.43015Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 4 2006 Twisted convolutions with Calderón-Zygmung kernels. Zbl 0532.43007Müller, Detlef 4 1984 Solvability of second-order PDOs on nilpotent groups – a survey of recent results. Zbl 0840.22018Müller, Detlef; Ricci, Fulvio 4 1993 A double-weight \(L^ 2\)-inequality for the Kakeya maximal function. Zbl 0886.42016Müller, Detlef; Soria, Fernando 4 1995 On local solvability for complex coefficient differential operators on the Heisenberg group. Zbl 0937.43003Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 4 1999 Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres. Zbl 1479.42031Ahrens, Julian; Cowling, Michael G.; Martini, Alessio; Müller, Detlef 3 2020 On the rate of convergence of certain summability methods for Fourier integrals of \(L^ 2\)-functions. Zbl 0766.42004Müller, D.; Wang, Kunyang 3 1991 Estimates for maximal functions associated to hypersurfaces in \(\mathbb{R}^3\) with height \(h<2\). I. Zbl 1418.42025Buschenhenke, Stefan; Dendrinos, Spyridon; Ikromov, Isroil A.; Müller, Detlef 3 2019 Holomorphic \(L^p\)-type for sub-Laplacians on connected Lie groups. Zbl 1196.22006Ludwig, Jean; Müller, Detlef; Souaifi, Sofiane 3 2008 A homogeneous, globally solvable differential operator on a nilpotent Lie group which has no tempered fundamental solution. Zbl 0814.22002Müller, Detlef 3 1994 Almost everywhere convergence of Bochner-Riesz means on the Heisenberg group and fractional integration on the dual. Zbl 1013.43003Gorges, Dirk; Müller, Detlef 3 2002 Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group. Zbl 1072.35010Müller, Detlef; Peloso, Marco M. 3 2003 Local solvability of linear differential operators with double characteristics. II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group. Zbl 1215.35014Müller, Detlef 3 2007 \(L^{p}\)-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group. Zbl 1148.43008Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 3 2007 On the solvability of homogeneous left-invariant differential operators on the Heisenberg group. Zbl 0887.43004Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 3 1997 On weighted estimates for the Kakeya maximal operator. Zbl 0742.42009Müller, Detlef 2 1990 Local solvability of first order differential operators near a critical point, operators with quadratic symbols and the Heisenberg group. Zbl 0761.35002Müller, Detlef 2 1992 Problems of harmonic analysis related to finite-type hypersurfaces in \({\mathbb R}^3\), and Newton polyhedra. Zbl 1304.42026Müller, Detlef 2 2014 A remarkable class of second order differential operators on the Heisenberg group \(\mathbb{H}_2\). Zbl 0982.22008Karadzhov, Georgi E.; Müller, Detlef 2 2001 A class of solvable non-homogeneous differential operators on the Heisenberg group. Zbl 1055.22006Müller, Detlef; Zhang, Zhenqiu 2 2001 A.e. convergence of spectral sums on Lie groups. Zbl 1131.22007Meaney, Christopher; Müller, Detlef; Prestini, Elena 2 2007 Normal forms of involutive complex Hamiltonian matrices under the real symplectic group. Zbl 0932.15006Müller, D.; Thiele, C. 2 1999 Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid. Zbl 1472.42028Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 2 2021 On Fourier restriction for finite-type perturbations of the hyperbolic paraboloid. Zbl 1479.42027Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 2 2021 Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038Christ, Michael; Karadzhov, G. E.; Müller, Detlef 1 1996 Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 24–30, 2011. Zbl 1349.00229 1 2011 Schranken für verschränkte Faltungsoperatoren. Zbl 0477.46038Leptin, H.; Müller, Detlef 1 1982 Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group. Zbl 0974.22006Müller, Detlef; Zhang, Zhenqiu 1 2001 Extensions of well-boundedness and \(C^m\)-scalarity. Zbl 1148.47027Galé, José E.; Miana, Pedro J.; Müller, Detlef 1 2007 A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning. Zbl 1487.42015Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 1 2022 A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning. Zbl 1487.42015Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 1 2022 Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid. Zbl 1472.42028Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 2 2021 On Fourier restriction for finite-type perturbations of the hyperbolic paraboloid. Zbl 1479.42027Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 2 2021 A Fourier restriction theorem for a perturbed hyperbolic paraboloid. Zbl 1442.42044Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 7 2020 Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres. Zbl 1479.42031Ahrens, Julian; Cowling, Michael G.; Martini, Alessio; Müller, Detlef 3 2020 On the flows associated to selfadjoint operators on metric measure spaces. Zbl 1430.42029Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef 5 2019 A maximal restriction theorem and Lebesgue points of functions in \(\mathcal{F}(L^p)\). Zbl 1418.42011Müller, Detlef; Ricci, Fulvio; Wright, James 4 2019 The Hausdorff-Young inequality on Lie groups. Zbl 1427.22011Cowling, Michael G.; Martini, Alessio; Müller, Detlef; Parcet, Javier 4 2019 Estimates for maximal functions associated to hypersurfaces in \(\mathbb{R}^3\) with height \(h<2\). I. Zbl 1418.42025Buschenhenke, Stefan; Dendrinos, Spyridon; Ikromov, Isroil A.; Müller, Detlef 3 2019 A Fourier restriction theorem for a two-dimensional surface of finite type. Zbl 1364.42010Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana 9 2017 Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra. Zbl 1352.42001Ikromov, Isroil A.; Müller, Detlef 17 2016 Spectral multipliers on 2-step groups: topological versus homogeneous dimension. Zbl 1366.43002Martini, Alessio; Müller, Detlef 13 2016 Sharp \(L^p\) bounds for the wave equation on groups of Heisenberg type. Zbl 1333.35309Müller, Detlef; Seeger, Andreas 11 2015 Analysis of the Hodge Laplacian on the Heisenberg group. Zbl 1309.43005Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 9 2015 Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups. Zbl 1310.43003Martini, Alessio; Müller, Detlef 13 2014 A sharp multiplier theorem for Grushin operators in arbitrary dimensions. Zbl 1315.43006Martini, Alessio; Müller, Detlef 12 2014 Uniqueness of solutions to Schrödinger equations on 2-step nilpotent Lie groups. Zbl 1304.43005Ludwig, Jean; Müller, Detlef 5 2014 Problems of harmonic analysis related to finite-type hypersurfaces in \({\mathbb R}^3\), and Newton polyhedra. Zbl 1304.42026Müller, Detlef 2 2014 Uniform estimates for the local restriction of the Fourier transform to curves. Zbl 1277.42009Dendrinos, Spyridon; Müller, Detlef 7 2013 \(L^p\) spectral multipliers on the free group \(N_{3,2}\). Zbl 1285.43002Martini, Alessio; Müller, Detlef 7 2013 Uniform estimates for the Fourier transform of surface carried measures in \(\mathbb R^{3}\) and an application to Fourier restriction. Zbl 1241.42009Ikromov, Isroil A.; Müller, Detlef 24 2011 On adapted coordinate systems. Zbl 1222.35219Ikromov, Isroil A.; Müller, Detlef 23 2011 Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 24–30, 2011. Zbl 1349.00229 1 2011 Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis. Zbl 1223.42011Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef 41 2010 Wave equation and multiplier estimates on Damek-Ricci spaces. Zbl 1191.43002Müller, Detlef; Vallarino, Maria 6 2010 A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces. Zbl 1171.42013Müller, Detlef; Yang, Dachun 40 2009 A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces. Zbl 1193.46018Han, Yongsheng; Müller, Detlef; Yang, Dachun 106 2008 Holomorphic \(L^p\)-type for sub-Laplacians on connected Lie groups. Zbl 1196.22006Ludwig, Jean; Müller, Detlef; Souaifi, Sofiane 3 2008 Wave equation and multiplier estimates on \(ax+b\) groups. Zbl 1112.43002Müller, Detlef; Thiele, Christoph 9 2007 Local solvability of linear differential operators with double characteristics. I: Necessary conditions. Zbl 1139.35005Müller, Detlef 5 2007 Local solvability of linear differential operators with double characteristics. II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group. Zbl 1215.35014Müller, Detlef 3 2007 \(L^{p}\)-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group. Zbl 1148.43008Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 3 2007 A.e. convergence of spectral sums on Lie groups. Zbl 1131.22007Meaney, Christopher; Müller, Detlef; Prestini, Elena 2 2007 Extensions of well-boundedness and \(C^m\)-scalarity. Zbl 1148.47027Galé, José E.; Miana, Pedro J.; Müller, Detlef 1 2007 Littlewood-Paley characterizations for Hardy spaces on spaces of homogeneous type. Zbl 1179.42016Han, Yongsheng; Müller, Detlef; Yang, Dachun 83 2006 Eigenvalues of the Hodge Laplacian on the Heisenberg group. Zbl 1213.43015Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 4 2006 Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces. Zbl 1152.42304Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef 13 2005 Sub-Laplacians of holomorphic \(L^p\)-type on exponential solvable groups. Zbl 1086.22006Hebisch, W.; Ludwig, J.; Müller, D. 7 2005 \(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef 43 2004 Singular spherical maximal operators on a class of two step nilpotent Lie groups. Zbl 1054.22007Müller, Detlef; Seeger, Andreas 20 2004 Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition. Zbl 1036.35003Müller, Detlef; Ricci, Fulvio 6 2003 Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group. Zbl 1072.35010Müller, Detlef; Peloso, Marco M. 3 2003 Almost everywhere convergence of Bochner-Riesz means on the Heisenberg group and fractional integration on the dual. Zbl 1013.43003Gorges, Dirk; Müller, Detlef 3 2002 Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers. Zbl 1027.58022Müller, Detlef; Seeger, Andreas 6 2001 A remarkable class of second order differential operators on the Heisenberg group \(\mathbb{H}_2\). Zbl 0982.22008Karadzhov, Georgi E.; Müller, Detlef 2 2001 A class of solvable non-homogeneous differential operators on the Heisenberg group. Zbl 1055.22006Müller, Detlef; Zhang, Zhenqiu 2 2001 Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group. Zbl 0974.22006Müller, Detlef; Zhang, Zhenqiu 1 2001 Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups. Zbl 0957.22013Ludwig, J.; Müller, D. 14 2000 Pluriharmonic \(H^2\) functions on symmetric irreducible Siegel domains. Zbl 0969.31007Damek, E.; Hulanicki, A.; Müller, D.; Peloso, M. M. 7 2000 \(L^p\)-estimates for the wave equation on the Heisenberg group. Zbl 0935.43003Müller, Detlef; Stein, Elias M. 19 1999 On local solvability for complex coefficient differential operators on the Heisenberg group. Zbl 0937.43003Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 4 1999 Normal forms of involutive complex Hamiltonian matrices under the real symplectic group. Zbl 0932.15006Müller, D.; Thiele, C. 2 1999 Functional calculus of Lie groups and wave propagation. Zbl 0901.43001Müller, Detlef 5 1998 On the solvability of homogeneous left-invariant differential operators on the Heisenberg group. Zbl 0887.43004Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio 3 1997 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II. Zbl 0863.43001Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 50 1996 About Riesz transforms on the Heisenberg groups. Zbl 0859.22006Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek 30 1996 On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008Christ, M.; Müller, D. 30 1996 Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups. Zbl 0841.22006Müller, Detlef; Ricci, Fulvio 22 1996 Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups. Zbl 0848.43008Müller, Detlef; Ricci, Fulvio 7 1996 Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038Christ, Michael; Karadzhov, G. E.; Müller, Detlef 1 1996 Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I. Zbl 0857.43012Müller, Detlef; Ricci, Fulvio; Stein, Elias M. 76 1995 Inequalities for spherically symmetric solutions of the wave equation. Zbl 0828.35072Müller, Detlef; Seeger, Andreas 6 1995 Another example in the solvability theory of PDO’s with double characteristics. Zbl 0862.43008Müller, Detlef 5 1995 A double-weight \(L^ 2\)-inequality for the Kakeya maximal function. Zbl 0886.42016Müller, Detlef; Soria, Fernando 4 1995 On spectral multipliers for Heisenberg and related groups. Zbl 0838.43011Müller, D.; Stein, Elias M. 56 1994 A homogeneous, globally solvable differential operator on a nilpotent Lie group which has no tempered fundamental solution. Zbl 0814.22002Müller, Detlef 3 1994 Solvability of second-order PDOs on nilpotent groups – a survey of recent results. Zbl 0840.22018Müller, Detlef; Ricci, Fulvio 4 1993 Analysis of second order differential operators on Heisenberg groups. II. Zbl 0790.43011Müller, D.; Ricci, F. 15 1992 Local solvability of first order differential operators near a critical point, operators with quadratic symbols and the Heisenberg group. Zbl 0761.35002Müller, Detlef 2 1992 Uniform partitions of unity on locally compact groups. Zbl 0748.22003Leptin, Horst; Müller, Detlef 7 1991 A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups. Zbl 0716.22003Müller, D. 7 1991 On the rate of convergence of certain summability methods for Fourier integrals of \(L^ 2\)-functions. Zbl 0766.42004Müller, D.; Wang, Kunyang 3 1991 A geometric bound for maximal functions associated to convex bodies. Zbl 0728.42015Müller, Detlef 19 1990 Analysis of second order differential operators on Heisenberg groups. I. Zbl 0742.43006Müller, Detlef; Ricci, Fulvio 17 1990 Damping oscillatory integrals. Zbl 0733.42011Cowling, Michael; Disney, Shaun; Mauceri, Giancarlo; Müller, Detlef 17 1990 A restriction theorem for the Heisenberg group. Zbl 0731.43003Müller, Detlef 16 1990 On weighted estimates for the Kakeya maximal operator. Zbl 0742.42009Müller, Detlef 2 1990 Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary. Zbl 0639.31005Hueber, H.; Müller, D. 17 1989 Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups. Zbl 0681.53027Müller, Detlef 16 1989 On Riesz means of eigenfunction expansions for the Kohn-Laplacian. Zbl 0697.35102Müller, Detlef 5 1989 On the Laplace-Beltrami operator on the oscillator group. Zbl 0644.58018Müller, D.; Ricci, F. 9 1988 On infinitely small orbits. Zbl 0662.22006Boidol, J.; Ludwig, J.; Müller, D. 9 1988 Singular kernels supported by homogeneous submanifolds. Zbl 0551.43005Müller, Detlef 10 1985 Twisted convolutions with Calderón-Zygmung kernels. Zbl 0532.43007Müller, Detlef 4 1984 Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras. Zbl 0521.43009Mueller, D. 5 1983 On the spectral synthesis problem for hypersurfaces of \(R^n\). Zbl 0507.43003Müller, Detlef 5 1982 Schranken für verschränkte Faltungsoperatoren. Zbl 0477.46038Leptin, H.; Müller, Detlef 1 1982 On the synthesis problem for orbits of Lie groups in \(R^ n\). Zbl 0478.43004Kirsch, W.; Mueller, D. 9 1980 all cited Publications top 5 cited Publications all top 5 Cited by 641 Authors 64 Yang, Dachun 38 Müller, Detlef 21 Han, Yongsheng 21 Yuan, Wen 20 Li, Ji 19 Ricci, Fulvio 17 Martini, Alessio 16 Duong, Xuan Thinh 16 Nečasová, Šárka 15 Stein, Elias Menachem 15 Vallarino, Maria 14 Greenblatt, Michael 13 Sikora, Adam S. 12 Liu, Liguang 11 Peloso, Marco Maria 11 Thangavelu, Sundaram 11 Zhou, Yuan 10 Kračmar, Stanislav 9 Fan, Dashan 9 Farwig, Reinhard 9 Fu, Xing 9 Ikromov, Isroil A. 9 Ludwig, Jean 9 Ruzhansky, Michael V. 9 The Anh Bui 9 Wróbel, Błażej Jan 9 Yan, Lixin 8 Chang, Der-Chen E. 8 Chen, Jiecheng 8 Han, Yanchang 8 He, Shaoyong 8 He, Ziyi 8 Li, Hongquan 8 Liu, Heping 8 Lu, Guozhen 8 Seeger, Andreas 8 Yang, Dongyong 7 Chen, Peng 7 Deuring, Paul 7 Hishida, Toshiaki 7 Koskela, Pekka 7 Wu, Xinfeng 7 Zhao, Jiman 6 Buschenhenke, Stefan 6 Federico, Serena 6 Galdi, Giovanni Paolo 6 He, Jianxun 6 Lin, Chincheng 6 Markina, Irina 6 Meda, Stefano 6 Wu, Qingyan 5 Aldaz, Jésus Munárriz 5 Bruno, Tommaso 5 Calvaruso, Giovanni 5 Calzi, Mattia 5 Casarino, Valentina 5 Ciatti, Paolo 5 Ding, Wei 5 Ham, Seheon 5 Hong, Sunggeum 5 Hu, Guorong 5 Kamimoto, Joe 5 Kyed, Mads 5 Lee, Sanghyuk 5 Lin, Haibo 5 Liu, Jun 5 Mirek, Mariusz 5 Nagel, Alexander 5 Tao, Terence 5 Wang, Fan 5 Ward, Lesley A. 5 Zheng, Taotao 4 Archbold, Robert J. 4 Betancor Perez, Jorge Juan 4 Bourgain, Jean 4 Buraczewski, Dariusz 4 Cowling, Michael G. 4 Fang, Jingxuan 4 Hebisch, Waldemar 4 Heo, Yaryong 4 Hulanicki, Andrzej 4 Iosevich, Alex 4 Jaming, Philippe 4 Kim, Joonil 4 Ky, Luong Dang 4 Lee, Ming-Yi 4 Liu, Zongguang 4 Nakai, Eiichi 4 Neustupa, Jiří 4 Nose, Toshihiro 4 Ottazzi, Alessandro 4 Ovando, Gabriela P. 4 Pan, Yibiao 4 Parmeggiani, Alberto 4 Penel, Patrick 4 Pérez Lázaro, Francisco Javier 4 Tan, Chaoqiang 4 Tie, Jingzhi 4 Wainger, Stephen 4 Wick, Brett Duane ...and 541 more Authors all top 5 Cited in 171 Serials 51 Journal of Functional Analysis 48 The Journal of Geometric Analysis 36 The Journal of Fourier Analysis and Applications 28 Mathematische Zeitschrift 26 Transactions of the American Mathematical Society 23 Journal of Mathematical Analysis and Applications 22 Proceedings of the American Mathematical Society 18 Journal d’Analyse Mathématique 17 Mathematische Annalen 14 Advances in Mathematics 14 Science China. Mathematics 13 Revista Matemática Iberoamericana 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Communications in Partial Differential Equations 10 Acta Mathematica Sinica. English Series 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of the Mathematical Society of Japan 9 Mathematische Nachrichten 9 Forum Mathematicum 8 Journal of Differential Equations 6 Annales de l’Institut Fourier 6 Potential Analysis 6 Banach Journal of Mathematical Analysis 6 Analysis & PDE 6 Journal of Pseudo-Differential Operators and Applications 5 Israel Journal of Mathematics 5 Journal of Geometry and Physics 5 Journal für die Reine und Angewandte Mathematik 5 Manuscripta Mathematica 5 Memoirs of the American Mathematical Society 5 Frontiers of Mathematics in China 4 Archive for Rational Mechanics and Analysis 4 Communications in Algebra 4 Studia Mathematica 4 Collectanea Mathematica 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Journal of Approximation Theory 4 Science in China. Series A 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bulletin des Sciences Mathématiques 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Analysis and Geometry in Metric Spaces 3 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Acta Mathematica 3 Dissertationes Mathematicae 3 Integral Equations and Operator Theory 3 Monatshefte für Mathematik 3 Constructive Approximation 3 Geometric and Functional Analysis. GAFA 3 Russian Mathematics 3 Applied and Computational Harmonic Analysis 3 Discrete and Continuous Dynamical Systems 3 Taiwanese Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Journal of the Australian Mathematical Society 3 Journal of Function Spaces and Applications 3 Mediterranean Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Indiana University Mathematics Journal 2 Journal of Algebra 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 The New York Journal of Mathematics 2 Journal of Lie Theory 2 Positivity 2 Mathematical Inequalities & Applications 2 Journal of Mathematical Fluid Mechanics 2 Journal of Nonlinear Mathematical Physics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Journal of the Institute of Mathematics of Jussieu 2 Analysis in Theory and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Complex Analysis and Operator Theory 2 Annals of Functional Analysis 2 Analysis and Mathematical Physics 2 Forum of Mathematics, Sigma 2 Journal of Function Spaces 2 Discrete Analysis 2 Journal of Siberian Federal University. Mathematics & Physics 1 Analysis Mathematica 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra ...and 71 more Serials all top 5 Cited in 41 Fields 416 Harmonic analysis on Euclidean spaces (42-XX) 184 Partial differential equations (35-XX) 182 Abstract harmonic analysis (43-XX) 128 Topological groups, Lie groups (22-XX) 112 Functional analysis (46-XX) 98 Operator theory (47-XX) 47 Functions of a complex variable (30-XX) 45 Global analysis, analysis on manifolds (58-XX) 43 Fluid mechanics (76-XX) 41 Differential geometry (53-XX) 22 Real functions (26-XX) 22 Integral transforms, operational calculus (44-XX) 21 Several complex variables and analytic spaces (32-XX) 19 Nonassociative rings and algebras (17-XX) 13 Special functions (33-XX) 11 Potential theory (31-XX) 11 Approximations and expansions (41-XX) 10 Number theory (11-XX) 10 Probability theory and stochastic processes (60-XX) 10 Quantum theory (81-XX) 9 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 6 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 4 Associative rings and algebras (16-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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