## Müller, Detlef

Compute Distance To:
 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
 Documents Indexed: 98 Publications since 1980, including 3 Books 6 Contributions as Editor Co-Authors: 45 Co-Authors with 78 Joint Publications 985 Co-Co-Authors
all top 5

### Co-Authors

 25 single-authored 16 Ricci, Fulvio 7 Peloso, Marco Maria 6 Buschenhenke, Stefan 6 Ikromov, Isroil A. 6 Martini, Alessio 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 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 La Gaceta de la Real Sociedad Matemática Española 1 Physical Review Letters 1 Annals of Mathematics Studies
all top 5

### Fields

 59 Abstract harmonic analysis (43-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 42 Topological groups, Lie groups (22-XX) 36 Partial differential equations (35-XX) 6 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-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)

### Citations contained in zbMATH Open

87 Publications have been cited 1,051 times in 672 Documents Cited by Year
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces. Zbl 1193.46018
Han, Yongsheng; Müller, Detlef; Yang, Dachun
2008
Littlewood-Paley characterizations for Hardy spaces on spaces of homogeneous type. Zbl 1179.42016
Han, Yongsheng; Müller, Detlef; Yang, Dachun
2006
Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I. Zbl 0857.43012
Müller, Detlef; Ricci, Fulvio; Stein, Elias M.
1995
On spectral multipliers for Heisenberg and related groups. Zbl 0838.43011
Müller, D.; Stein, Elias M.
1994
Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II. Zbl 0863.43001
Müller, Detlef; Ricci, Fulvio; Stein, Elias M.
1996
$$L^q$$-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028
Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef
2004
Estimates for maximal functions associated with hypersurfaces in $$\mathbb R^3$$ and related problems of harmonic analysis. Zbl 1223.42011
Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef
2010
A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces. Zbl 1171.42013
Müller, Detlef; Yang, Dachun
2009
About Riesz transforms on the Heisenberg groups. Zbl 0859.22006
Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek
1996
On $$L^ p$$ spectral multipliers for a solvable Lie group. Zbl 0878.43008
Christ, M.; Müller, D.
1996
Uniform estimates for the Fourier transform of surface carried measures in $$\mathbb R^{3}$$ and an application to Fourier restriction. Zbl 1241.42009
Ikromov, Isroil A.; Müller, Detlef
2011
On adapted coordinate systems. Zbl 1222.35219
Ikromov, Isroil A.; Müller, Detlef
2011
Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups. Zbl 0841.22006
Müller, Detlef; Ricci, Fulvio
1996
$$L^p$$-estimates for the wave equation on the Heisenberg group. Zbl 0935.43003
Müller, Detlef; Stein, Elias M.
1999
A geometric bound for maximal functions associated to convex bodies. Zbl 0728.42015
Müller, Detlef
1990
Singular spherical maximal operators on a class of two step nilpotent Lie groups. Zbl 1054.22007
Müller, Detlef; Seeger, Andreas
2004
Analysis of second order differential operators on Heisenberg groups. I. Zbl 0742.43006
Müller, Detlef; Ricci, Fulvio
1990
Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary. Zbl 0639.31005
Hueber, H.; Müller, D.
1989
A restriction theorem for the Heisenberg group. Zbl 0731.43003
Müller, Detlef
1990
Damping oscillatory integrals. Zbl 0733.42011
Cowling, Michael; Disney, Shaun; Mauceri, Giancarlo; Müller, Detlef
1990
Analysis of second order differential operators on Heisenberg groups. II. Zbl 0790.43011
Müller, D.; Ricci, F.
1992
Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups. Zbl 0681.53027
Müller, Detlef
1989
Sub-Laplacians of holomorphic $$L^p$$-type on rank one AN-groups and related solvable groups. Zbl 0957.22013
Ludwig, J.; Müller, D.
2000
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra. Zbl 1352.42001
Ikromov, Isroil A.; Müller, Detlef
2016
A sharp multiplier theorem for Grushin operators in arbitrary dimensions. Zbl 1315.43006
Martini, Alessio; Müller, Detlef
2014
Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces. Zbl 1152.42304
Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef
2005
Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups. Zbl 1310.43003
Martini, Alessio; Müller, Detlef
2014
Spectral multipliers on 2-step groups: topological versus homogeneous dimension. Zbl 1366.43002
Martini, Alessio; Müller, Detlef
2016
Singular kernels supported by homogeneous submanifolds. Zbl 0551.43005
Müller, Detlef
1985
Sharp $$L^p$$ bounds for the wave equation on groups of Heisenberg type. Zbl 1333.35309
Müller, Detlef; Seeger, Andreas
2015
On the synthesis problem for orbits of Lie groups in $$R^ n$$. Zbl 0478.43004
Kirsch, W.; Mueller, D.
1980
A Fourier restriction theorem for a two-dimensional surface of finite type. Zbl 1364.42010
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2017
On infinitely small orbits. Zbl 0662.22006
Boidol, J.; Ludwig, J.; Müller, D.
1988
On the Laplace-Beltrami operator on the oscillator group. Zbl 0644.58018
Müller, D.; Ricci, F.
1988
Analysis of the Hodge Laplacian on the Heisenberg group. Zbl 1309.43005
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
2015
Pluriharmonic $$H^2$$ functions on symmetric irreducible Siegel domains. Zbl 0969.31007
Damek, E.; Hulanicki, A.; Müller, D.; Peloso, M. M.
2000
Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups. Zbl 0848.43008
Müller, Detlef; Ricci, Fulvio
1996
Wave equation and multiplier estimates on $$ax+b$$ groups. Zbl 1112.43002
Müller, Detlef; Thiele, Christoph
2007
Sub-Laplacians of holomorphic $$L^p$$-type on exponential solvable groups. Zbl 1086.22006
Hebisch, W.; Ludwig, J.; Müller, D.
2005
A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups. Zbl 0716.22003
Müller, D.
1991
Uniform estimates for the local restriction of the Fourier transform to curves. Zbl 1277.42009
Dendrinos, Spyridon; Müller, Detlef
2013
Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition. Zbl 1036.35003
Müller, Detlef; Ricci, Fulvio
2003
Inequalities for spherically symmetric solutions of the wave equation. Zbl 0828.35072
Müller, Detlef; Seeger, Andreas
1995
Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers. Zbl 1027.58022
Müller, Detlef; Seeger, Andreas
2001
A Fourier restriction theorem for a perturbed hyperbolic paraboloid. Zbl 1442.42044
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2020
Uniqueness of solutions to Schrödinger equations on 2-step nilpotent Lie groups. Zbl 1304.43005
Ludwig, Jean; Müller, Detlef
2014
Uniform partitions of unity on locally compact groups. Zbl 0748.22003
Leptin, Horst; Müller, Detlef
1991
Another example in the solvability theory of PDO’s with double characteristics. Zbl 0862.43008
Müller, Detlef
1995
Functional calculus of Lie groups and wave propagation. Zbl 0901.43001
Müller, Detlef
1998
Wave equation and multiplier estimates on Damek-Ricci spaces. Zbl 1191.43002
Müller, Detlef; Vallarino, Maria
2010
Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras. Zbl 0521.43009
Mueller, D.
1983
On Riesz means of eigenfunction expansions for the Kohn-Laplacian. Zbl 0697.35102
Müller, Detlef
1989
$$L^p$$ spectral multipliers on the free group $$N_{3,2}$$. Zbl 1285.43002
Martini, Alessio; Müller, Detlef
2013
On the spectral synthesis problem for hypersurfaces of $$R^n$$. Zbl 0507.43003
Müller, Detlef
1982
On local solvability for complex coefficient differential operators on the Heisenberg group. Zbl 0937.43003
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
1999
A double-weight $$L^ 2$$-inequality for the Kakeya maximal function. Zbl 0886.42016
Müller, Detlef; Soria, Fernando
1995
Eigenvalues of the Hodge Laplacian on the Heisenberg group. Zbl 1213.43015
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
2006
Solvability of second-order PDOs on nilpotent groups – a survey of recent results. Zbl 0840.22018
Müller, Detlef; Ricci, Fulvio
1993
Local solvability of linear differential operators with double characteristics. I: Necessary conditions. Zbl 1139.35005
Müller, Detlef
2007
Twisted convolutions with Calderón-Zygmung kernels. Zbl 0532.43007
Müller, Detlef
1984
The Hausdorff-Young inequality on Lie groups. Zbl 1427.22011
Cowling, Michael G.; Martini, Alessio; Müller, Detlef; Parcet, Javier
2019
On the rate of convergence of certain summability methods for Fourier integrals of $$L^ 2$$-functions. Zbl 0766.42004
Müller, D.; Wang, Kunyang
1991
On the solvability of homogeneous left-invariant differential operators on the Heisenberg group. Zbl 0887.43004
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
1997
A homogeneous, globally solvable differential operator on a nilpotent Lie group which has no tempered fundamental solution. Zbl 0814.22002
Müller, Detlef
1994
Holomorphic $$L^p$$-type for sub-Laplacians on connected Lie groups. Zbl 1196.22006
Ludwig, Jean; Müller, Detlef; Souaifi, Sofiane
2008
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 1215.35014
Müller, Detlef
2007
$$L^{p}$$-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group. Zbl 1148.43008
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
2007
Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group. Zbl 1072.35010
Müller, Detlef; Peloso, Marco M.
2003
Estimates for maximal functions associated to hypersurfaces in $$\mathbb{R}^3$$ with height $$h<2$$. I. Zbl 1418.42025
Buschenhenke, Stefan; Dendrinos, Spyridon; Ikromov, Isroil A.; Müller, Detlef
2019
A maximal restriction theorem and Lebesgue points of functions in $$\mathcal{F}(L^p)$$. Zbl 1418.42011
Müller, Detlef; Ricci, Fulvio; Wright, James
2019
On the flows associated to selfadjoint operators on metric measure spaces. Zbl 1430.42029
Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef
2019
Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres. Zbl 1479.42031
Ahrens, Julian; Cowling, Michael G.; Martini, Alessio; Müller, Detlef
2020
Almost everywhere convergence of Bochner-Riesz means on the Heisenberg group and fractional integration on the dual. Zbl 1013.43003
Gorges, Dirk; Müller, Detlef
2002
Normal forms of involutive complex Hamiltonian matrices under the real symplectic group. Zbl 0932.15006
Müller, D.; Thiele, C.
1999
Problems of harmonic analysis related to finite-type hypersurfaces in $${\mathbb R}^3$$, and Newton polyhedra. Zbl 1304.42026
Müller, Detlef
2014
On weighted estimates for the Kakeya maximal operator. Zbl 0742.42009
Müller, Detlef
1990
Local solvability of first order differential operators near a critical point, operators with quadratic symbols and the Heisenberg group. Zbl 0761.35002
Müller, Detlef
1992
A remarkable class of second order differential operators on the Heisenberg group $$\mathbb{H}_2$$. Zbl 0982.22008
Karadzhov, Georgi E.; Müller, Detlef
2001
A class of solvable non-homogeneous differential operators on the Heisenberg group. Zbl 1055.22006
Müller, Detlef; Zhang, Zhenqiu
2001
A.e. convergence of spectral sums on Lie groups. Zbl 1131.22007
Meaney, Christopher; Müller, Detlef; Prestini, Elena
2007
On Fourier restriction for finite-type perturbations of the hyperbolic paraboloid. Zbl 1479.42027
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2021
Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid. Zbl 1472.42028
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2021
Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038
Christ, Michael; Karadzhov, G. E.; Müller, Detlef
1996
Extensions of well-boundedness and $$C^m$$-scalarity. Zbl 1148.47027
Galé, José E.; Miana, Pedro J.; Müller, Detlef
2007
Schranken für verschränkte Faltungsoperatoren. Zbl 0477.46038
Leptin, H.; Müller, Detlef
1982
Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group. Zbl 0974.22006
Müller, Detlef; Zhang, Zhenqiu
2001
Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 24–30, 2011. Zbl 1349.00229
2011
On Fourier restriction for finite-type perturbations of the hyperbolic paraboloid. Zbl 1479.42027
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2021
Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid. Zbl 1472.42028
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2021
A Fourier restriction theorem for a perturbed hyperbolic paraboloid. Zbl 1442.42044
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2020
Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres. Zbl 1479.42031
Ahrens, Julian; Cowling, Michael G.; Martini, Alessio; Müller, Detlef
2020
The Hausdorff-Young inequality on Lie groups. Zbl 1427.22011
Cowling, Michael G.; Martini, Alessio; Müller, Detlef; Parcet, Javier
2019
Estimates for maximal functions associated to hypersurfaces in $$\mathbb{R}^3$$ with height $$h<2$$. I. Zbl 1418.42025
Buschenhenke, Stefan; Dendrinos, Spyridon; Ikromov, Isroil A.; Müller, Detlef
2019
A maximal restriction theorem and Lebesgue points of functions in $$\mathcal{F}(L^p)$$. Zbl 1418.42011
Müller, Detlef; Ricci, Fulvio; Wright, James
2019
On the flows associated to selfadjoint operators on metric measure spaces. Zbl 1430.42029
Bui, The Anh; D&rsquo;Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef
2019
A Fourier restriction theorem for a two-dimensional surface of finite type. Zbl 1364.42010
Buschenhenke, Stefan; Müller, Detlef; Vargas, Ana
2017
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra. Zbl 1352.42001
Ikromov, Isroil A.; Müller, Detlef
2016
Spectral multipliers on 2-step groups: topological versus homogeneous dimension. Zbl 1366.43002
Martini, Alessio; Müller, Detlef
2016
Sharp $$L^p$$ bounds for the wave equation on groups of Heisenberg type. Zbl 1333.35309
Müller, Detlef; Seeger, Andreas
2015
Analysis of the Hodge Laplacian on the Heisenberg group. Zbl 1309.43005
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
2015
A sharp multiplier theorem for Grushin operators in arbitrary dimensions. Zbl 1315.43006
Martini, Alessio; Müller, Detlef
2014
Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups. Zbl 1310.43003
Martini, Alessio; Müller, Detlef
2014
Uniqueness of solutions to Schrödinger equations on 2-step nilpotent Lie groups. Zbl 1304.43005
Ludwig, Jean; Müller, Detlef
2014
Problems of harmonic analysis related to finite-type hypersurfaces in $${\mathbb R}^3$$, and Newton polyhedra. Zbl 1304.42026
Müller, Detlef
2014
Uniform estimates for the local restriction of the Fourier transform to curves. Zbl 1277.42009
Dendrinos, Spyridon; Müller, Detlef
2013
$$L^p$$ spectral multipliers on the free group $$N_{3,2}$$. Zbl 1285.43002
Martini, Alessio; Müller, Detlef
2013
Uniform estimates for the Fourier transform of surface carried measures in $$\mathbb R^{3}$$ and an application to Fourier restriction. Zbl 1241.42009
Ikromov, Isroil A.; Müller, Detlef
2011
On adapted coordinate systems. Zbl 1222.35219
Ikromov, Isroil A.; Müller, Detlef
2011
Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 24–30, 2011. Zbl 1349.00229
2011
Estimates for maximal functions associated with hypersurfaces in $$\mathbb R^3$$ and related problems of harmonic analysis. Zbl 1223.42011
Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef
2010
Wave equation and multiplier estimates on Damek-Ricci spaces. Zbl 1191.43002
Müller, Detlef; Vallarino, Maria
2010
A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces. Zbl 1171.42013
Müller, Detlef; Yang, Dachun
2009
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces. Zbl 1193.46018
Han, Yongsheng; Müller, Detlef; Yang, Dachun
2008
Holomorphic $$L^p$$-type for sub-Laplacians on connected Lie groups. Zbl 1196.22006
Ludwig, Jean; Müller, Detlef; Souaifi, Sofiane
2008
Wave equation and multiplier estimates on $$ax+b$$ groups. Zbl 1112.43002
Müller, Detlef; Thiele, Christoph
2007
Local solvability of linear differential operators with double characteristics. I: Necessary conditions. Zbl 1139.35005
Müller, Detlef
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 1215.35014
Müller, Detlef
2007
$$L^{p}$$-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group. Zbl 1148.43008
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
2007
A.e. convergence of spectral sums on Lie groups. Zbl 1131.22007
Meaney, Christopher; Müller, Detlef; Prestini, Elena
2007
Extensions of well-boundedness and $$C^m$$-scalarity. Zbl 1148.47027
Galé, José E.; Miana, Pedro J.; Müller, Detlef
2007
Littlewood-Paley characterizations for Hardy spaces on spaces of homogeneous type. Zbl 1179.42016
Han, Yongsheng; Müller, Detlef; Yang, Dachun
2006
Eigenvalues of the Hodge Laplacian on the Heisenberg group. Zbl 1213.43015
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
2006
Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces. Zbl 1152.42304
Ikromov, Isroil A.; Kempe, Michael; Müller, Detlef
2005
Sub-Laplacians of holomorphic $$L^p$$-type on exponential solvable groups. Zbl 1086.22006
Hebisch, W.; Ludwig, J.; Müller, D.
2005
$$L^q$$-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028
Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef
2004
Singular spherical maximal operators on a class of two step nilpotent Lie groups. Zbl 1054.22007
Müller, Detlef; Seeger, Andreas
2004
Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition. Zbl 1036.35003
Müller, Detlef; Ricci, Fulvio
2003
Non-solvability for a class of left-invariant second-order differential operators on the Heisenberg group. Zbl 1072.35010
Müller, Detlef; Peloso, Marco M.
2003
Almost everywhere convergence of Bochner-Riesz means on the Heisenberg group and fractional integration on the dual. Zbl 1013.43003
Gorges, Dirk; Müller, Detlef
2002
Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers. Zbl 1027.58022
Müller, Detlef; Seeger, Andreas
2001
A remarkable class of second order differential operators on the Heisenberg group $$\mathbb{H}_2$$. Zbl 0982.22008
Karadzhov, Georgi E.; Müller, Detlef
2001
A class of solvable non-homogeneous differential operators on the Heisenberg group. Zbl 1055.22006
Müller, Detlef; Zhang, Zhenqiu
2001
Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group. Zbl 0974.22006
Müller, Detlef; Zhang, Zhenqiu
2001
Sub-Laplacians of holomorphic $$L^p$$-type on rank one AN-groups and related solvable groups. Zbl 0957.22013
Ludwig, J.; Müller, D.
2000
Pluriharmonic $$H^2$$ functions on symmetric irreducible Siegel domains. Zbl 0969.31007
Damek, E.; Hulanicki, A.; Müller, D.; Peloso, M. M.
2000
$$L^p$$-estimates for the wave equation on the Heisenberg group. Zbl 0935.43003
Müller, Detlef; Stein, Elias M.
1999
On local solvability for complex coefficient differential operators on the Heisenberg group. Zbl 0937.43003
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
1999
Normal forms of involutive complex Hamiltonian matrices under the real symplectic group. Zbl 0932.15006
Müller, D.; Thiele, C.
1999
Functional calculus of Lie groups and wave propagation. Zbl 0901.43001
Müller, Detlef
1998
On the solvability of homogeneous left-invariant differential operators on the Heisenberg group. Zbl 0887.43004
Müller, Detlef; Peloso, Marco M.; Ricci, Fulvio
1997
Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II. Zbl 0863.43001
Müller, Detlef; Ricci, Fulvio; Stein, Elias M.
1996
About Riesz transforms on the Heisenberg groups. Zbl 0859.22006
Coulhon, Thierry; Müller, Detlef; Zienkiewicz, Jacek
1996
On $$L^ p$$ spectral multipliers for a solvable Lie group. Zbl 0878.43008
Christ, M.; Müller, D.
1996
Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups. Zbl 0841.22006
Müller, Detlef; Ricci, Fulvio
1996
Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups. Zbl 0848.43008
Müller, Detlef; Ricci, Fulvio
1996
Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038
Christ, Michael; Karadzhov, G. E.; Müller, Detlef
1996
Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I. Zbl 0857.43012
Müller, Detlef; Ricci, Fulvio; Stein, Elias M.
1995
Inequalities for spherically symmetric solutions of the wave equation. Zbl 0828.35072
Müller, Detlef; Seeger, Andreas
1995
Another example in the solvability theory of PDO’s with double characteristics. Zbl 0862.43008
Müller, Detlef
1995
A double-weight $$L^ 2$$-inequality for the Kakeya maximal function. Zbl 0886.42016
Müller, Detlef; Soria, Fernando
1995
On spectral multipliers for Heisenberg and related groups. Zbl 0838.43011
Müller, D.; Stein, Elias M.
1994
A homogeneous, globally solvable differential operator on a nilpotent Lie group which has no tempered fundamental solution. Zbl 0814.22002
Müller, Detlef
1994
Solvability of second-order PDOs on nilpotent groups – a survey of recent results. Zbl 0840.22018
Müller, Detlef; Ricci, Fulvio
1993
Analysis of second order differential operators on Heisenberg groups. II. Zbl 0790.43011
Müller, D.; Ricci, F.
1992
Local solvability of first order differential operators near a critical point, operators with quadratic symbols and the Heisenberg group. Zbl 0761.35002
Müller, Detlef
1992
A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups. Zbl 0716.22003
Müller, D.
1991
Uniform partitions of unity on locally compact groups. Zbl 0748.22003
Leptin, Horst; Müller, Detlef
1991
On the rate of convergence of certain summability methods for Fourier integrals of $$L^ 2$$-functions. Zbl 0766.42004
Müller, D.; Wang, Kunyang
1991
A geometric bound for maximal functions associated to convex bodies. Zbl 0728.42015
Müller, Detlef
1990
Analysis of second order differential operators on Heisenberg groups. I. Zbl 0742.43006
Müller, Detlef; Ricci, Fulvio
1990
A restriction theorem for the Heisenberg group. Zbl 0731.43003
Müller, Detlef
1990
Damping oscillatory integrals. Zbl 0733.42011
Cowling, Michael; Disney, Shaun; Mauceri, Giancarlo; Müller, Detlef
1990
On weighted estimates for the Kakeya maximal operator. Zbl 0742.42009
Müller, Detlef
1990
Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary. Zbl 0639.31005
Hueber, H.; Müller, D.
1989
Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups. Zbl 0681.53027
Müller, Detlef
1989
On Riesz means of eigenfunction expansions for the Kohn-Laplacian. Zbl 0697.35102
Müller, Detlef
1989
On infinitely small orbits. Zbl 0662.22006
Boidol, J.; Ludwig, J.; Müller, D.
1988
On the Laplace-Beltrami operator on the oscillator group. Zbl 0644.58018
Müller, D.; Ricci, F.
1988
Singular kernels supported by homogeneous submanifolds. Zbl 0551.43005
Müller, Detlef
1985
Twisted convolutions with Calderón-Zygmung kernels. Zbl 0532.43007
Müller, Detlef
1984
Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras. Zbl 0521.43009
Mueller, D.
1983
On the spectral synthesis problem for hypersurfaces of $$R^n$$. Zbl 0507.43003
Müller, Detlef
1982
Schranken für verschränkte Faltungsoperatoren. Zbl 0477.46038
Leptin, H.; Müller, Detlef
1982
On the synthesis problem for orbits of Lie groups in $$R^ n$$. Zbl 0478.43004
Kirsch, W.; Mueller, D.
1980
all top 5

### Cited by 605 Authors

 59 Yang, Dachun 38 Müller, Detlef 21 Han, Yongsheng 19 Li, Ji 19 Ricci, Fulvio 18 Yuan, Wen 17 Martini, Alessio 16 Nečasová, Šárka 15 Duong, Xuan Thinh 15 Vallarino, Maria 14 Greenblatt, Michael 14 Stein, Elias Menachem 13 Sikora, Adam S. 11 Liu, Liguang 11 Zhou, Yuan 10 Kračmar, Stanislav 10 Peloso, Marco Maria 10 Thangavelu, Sundaram 9 Fan, Dashan 9 Farwig, Reinhard 9 Fu, Xing 9 Ikromov, Isroil A. 9 Ludwig, Jean 9 Wróbel, Błażej Jan 8 Chang, Der-Chen E. 8 Han, Yanchang 8 He, Ziyi 8 Li, Hongquan 8 Liu, Heping 8 Seeger, Andreas 8 The Anh Bui 8 Yan, Lixin 8 Yang, Dongyong 7 Chen, Jiecheng 7 Chen, Peng 7 Deuring, Paul 7 He, Shaoyong 7 Koskela, Pekka 7 Lu, Guozhen 7 Ruzhansky, Michael V. 7 Wu, Xinfeng 7 Zhao, Jiman 6 Buschenhenke, Stefan 6 Federico, Serena 6 Galdi, Giovanni Paolo 6 He, Jianxun 6 Hishida, Toshiaki 6 Lin, Chincheng 6 Markina, Irina 6 Meda, Stefano 6 Wu, Qingyan 5 Aldaz, Jésus Munárriz 5 Bruno, Tommaso 5 Calvaruso, Giovanni 5 Casarino, Valentina 5 Ding, Wei 5 Ham, Seheon 5 Hong, Sunggeum 5 Kamimoto, Joe 5 Lee, Sanghyuk 5 Lin, Haibo 5 Nagel, Alexander 5 Tao, Terence 5 Zheng, Taotao 4 Archbold, Robert J. 4 Betancor Perez, Jorge Juan 4 Bourgain, Jean 4 Buraczewski, Dariusz 4 Calzi, Mattia 4 Ciatti, Paolo 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 Kyed, Mads 4 Lee, Ming-Yi 4 Liu, Zongguang 4 Mirek, Mariusz 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 Ward, Lesley A. 4 Wick, Brett D. 4 Xiao, Jinsen 4 Yang, Chan Woo 3 Almeida, Víctor M. 3 Bhowmik, Mithun ...and 505 more Authors
all top 5

### Cited in 164 Serials

 50 Journal of Functional Analysis 47 The Journal of Geometric Analysis 33 The Journal of Fourier Analysis and Applications 26 Mathematische Zeitschrift 25 Transactions of the American Mathematical Society 22 Journal of Mathematical Analysis and Applications 21 Proceedings of the American Mathematical Society 17 Journal d’Analyse Mathématique 17 Mathematische Annalen 14 Science China. Mathematics 13 Advances in Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Revista Matemática Iberoamericana 10 Communications in Partial Differential Equations 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of the Mathematical Society of Japan 9 Mathematische Nachrichten 9 Acta Mathematica Sinica. English Series 8 Journal of Differential Equations 8 Forum Mathematicum 6 Annales de l’Institut Fourier 6 Banach Journal of Mathematical Analysis 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 Potential Analysis 5 Frontiers of Mathematics in China 4 Archive for Rational Mechanics and Analysis 4 Communications in Algebra 4 Collectanea Mathematica 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Memoirs of the American Mathematical Society 4 Science in China. Series A 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Analysis & PDE 4 Analysis and Geometry in Metric Spaces 3 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Studia Mathematica 3 Acta Mathematica 3 Dissertationes Mathematicae 3 Integral Equations and Operator Theory 3 Journal of Approximation Theory 3 Monatshefte für Mathematik 3 Constructive Approximation 3 Geometric and Functional Analysis. GAFA 3 Applied and Computational Harmonic Analysis 3 Bulletin des Sciences Mathématiques 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 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 Russian Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Journal of Lie Theory 2 Positivity 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 Journal of the Institute of Mathematics of Jussieu 2 Analysis in Theory and Applications 2 Complex Analysis and Operator Theory 2 Annals of Functional Analysis 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 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Nuclear Physics. B 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 American Journal of Mathematics 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 64 more Serials
all top 5

### Cited in 41 Fields

 388 Harmonic analysis on Euclidean spaces (42-XX) 174 Partial differential equations (35-XX) 174 Abstract harmonic analysis (43-XX) 121 Topological groups, Lie groups (22-XX) 105 Functional analysis (46-XX) 94 Operator theory (47-XX) 44 Global analysis, analysis on manifolds (58-XX) 42 Functions of a complex variable (30-XX) 41 Fluid mechanics (76-XX) 37 Differential geometry (53-XX) 22 Integral transforms, operational calculus (44-XX) 20 Real functions (26-XX) 20 Several complex variables and analytic spaces (32-XX) 16 Nonassociative rings and algebras (17-XX) 13 Special functions (33-XX) 11 Potential theory (31-XX) 10 Number theory (11-XX) 10 Approximations and expansions (41-XX) 10 Quantum theory (81-XX) 9 Probability theory and stochastic processes (60-XX) 8 Convex and discrete geometry (52-XX) 6 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 5 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of deformable solids (74-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 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.