Edit Profile (opens in new tab) Hebisch, Waldemar Co-Author Distance Author ID: hebisch.waldemar Published as: Hebisch, Waldemar; Hebisch, W. Documents Indexed: 37 Publications since 1989, including 3 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 20 Joint Publications 423 Co-Co-Authors all top 5 Co-Authors 17 single-authored 2 Biler, Piotr 2 Dziubański, Jacek 2 Kuhn, Maria Gabriella 2 Mauceri, Giancarlo 2 Meda, Stefano 2 Saloff-Coste, Laurent 2 Sikora, Adam 2 Steger, Tim 2 Zegarlinski, Boguslaw 2 Zienkiewicz, Jacek 1 Chen, Peng 1 Głowacki, Paweł 1 Krawczyk, Jarosław 1 Ludwig, Jean 1 Młotkowski, Wojciech 1 Müller, Detlef 1 Nadzieja, Tadeusz 1 Olkiewicz, Robert 1 Rubey, Martin all top 5 Serials 6 Studia Mathematica 6 Colloquium Mathematicum 4 Mathematische Zeitschrift 3 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 ACM Communications in Computer Algebra 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 18 Abstract harmonic analysis (43-XX) 17 Topological groups, Lie groups (22-XX) 9 Operator theory (47-XX) 5 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Probability theory and stochastic processes (60-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 676 times in 592 Documents Cited by ▼ Year ▼ The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054 Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz 161 1994 Gaussian estimates for Markov chains and random walks on groups. Zbl 0776.60086 Hebisch, W.; Saloff-Coste, L. 98 1993 On the relation between elliptic and parabolic Harnack inequalities. Zbl 0988.58007 Hebisch, Waldemar; Saloff-Coste, Laurent 78 2001 Multiplier theorem on generalized Heisenberg groups. Zbl 0841.43009 Hebisch, Waldemar 41 1993 A multiplier theorem for Schrödinger operators. Zbl 0779.35025 Hebisch, Waldemar 41 1990 A smooth subadditive homogeneous norm on a homogeneous group. Zbl 0723.22007 Hebisch, Waldemar; Sikora, Adam 37 1990 Multipliers and singular integrals on exponential growth groups. Zbl 1035.43001 Hebisch, Waldemar; Steger, Tim 33 2003 Coercive inequalities on metric measure spaces. Zbl 1189.26032 Hebisch, W.; Zegarliński, B. 29 2010 Pointwise estimates for densities of stable semigroups of measures. Zbl 0812.43005 Głowacki, Paweł; Hebisch, Waldemar 19 1993 Spectral multipliers for sub-Laplacians with drift on Lie groups. Zbl 1092.47016 Hebisch, Waldemar; Mauceri, Giancarlo; Meda, Stefano 18 2005 Multiplier theorem on generalized Heisenberg groups. II. Zbl 0835.43009 Hebisch, Waldemar; Zienkiewicz, Jacek 15 1995 Holomorphy of spectral multipliers of the Ornstein–Uhlenbeck operator. Zbl 1069.47017 Hebisch, Waldemar; Mauceri, Giancarlo; Meda, Stefano 13 2004 Boundedness of \(L^ 1\) spectral multipliers for an exponential solvable Lie group. Zbl 0874.22005 Hebisch, Waldemar 9 1997 Spectral multipliers on exponential growth solvable Lie groups. Zbl 0946.22010 Hebisch, Waldemar 8 1998 The subalgebra of \(L^ 1(AN)\) generated by the Laplacian. Zbl 0789.22018 Hebisch, Waldemar 8 1993 Sub-Laplacians of holomorphic \(L^p\)-type on exponential solvable groups. Zbl 1086.22006 Hebisch, W.; Ludwig, J.; Müller, D. 8 2005 Note on semigroups generated by positive Rockland operators on graded homogeneous groups. Zbl 0833.43009 Dziubański, Jacek; Hebisch, Waldemar; Zienkiewicz, Jacek 7 1994 Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups. Zbl 0693.22005 Hebisch, Waldemar 7 1989 Estimates on the semigroups generated by left invariant operators on Lie groups. Zbl 0745.47025 Hebisch, Waldemar 6 1991 On heat kernels on Lie groups. Zbl 0792.22007 Hebisch, Waldemar 6 1992 Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142 Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar 6 1992 Almost everywhere summability of eigenfunction expansions associated to elliptic operators. Zbl 0716.35053 Hebisch, Waldemar 6 1990 Spectral multipliers on metabelian groups. Zbl 0965.43006 Hebisch, Waldemar 5 2000 Bochner-Riesz profile of anharmonic oscillator \(\mathcal{L} = -\frac{d^2}{dx^2} + |x|\). Zbl 1350.42044 Chen, Peng; Hebisch, Waldemar; Sikora, Adam 4 2016 Extended rate, more GFUN. Zbl 1218.68204 Hebisch, Waldemar; Rubey, Martin 4 2011 A remark on discontinuous translation invariant functionals on \(L_ p (G)\) for certain compact groups \(G\). Zbl 0792.43001 Hebisch, Waldemar; Krawczyk, Jarosław 2 1992 On operators satisfying the Rockland condition. Zbl 0924.22007 Hebisch, Waldemar 2 1998 Integration in terms of exponential integrals and incomplete gamma functions. Zbl 1365.68492 Hebisch, Waldemar 2 2015 Free group representations: duplicity and oddity on the boundary. Zbl 1531.22003 Hebisch, Waldemar; Kuhn, Gabriella; Steger, Tim 2 2022 Irreducible representations of the free product of groups. Zbl 1201.43004 Hebisch, Waldemar; Młotkowski, Wojciech 1 2010 Free group representations: duplicity and oddity on the boundary. Zbl 1531.22003 Hebisch, Waldemar; Kuhn, Gabriella; Steger, Tim 2 2022 Bochner-Riesz profile of anharmonic oscillator \(\mathcal{L} = -\frac{d^2}{dx^2} + |x|\). Zbl 1350.42044 Chen, Peng; Hebisch, Waldemar; Sikora, Adam 4 2016 Integration in terms of exponential integrals and incomplete gamma functions. Zbl 1365.68492 Hebisch, Waldemar 2 2015 Extended rate, more GFUN. Zbl 1218.68204 Hebisch, Waldemar; Rubey, Martin 4 2011 Coercive inequalities on metric measure spaces. Zbl 1189.26032 Hebisch, W.; Zegarliński, B. 29 2010 Irreducible representations of the free product of groups. Zbl 1201.43004 Hebisch, Waldemar; Młotkowski, Wojciech 1 2010 Spectral multipliers for sub-Laplacians with drift on Lie groups. Zbl 1092.47016 Hebisch, Waldemar; Mauceri, Giancarlo; Meda, Stefano 18 2005 Sub-Laplacians of holomorphic \(L^p\)-type on exponential solvable groups. Zbl 1086.22006 Hebisch, W.; Ludwig, J.; Müller, D. 8 2005 Holomorphy of spectral multipliers of the Ornstein–Uhlenbeck operator. Zbl 1069.47017 Hebisch, Waldemar; Mauceri, Giancarlo; Meda, Stefano 13 2004 Multipliers and singular integrals on exponential growth groups. Zbl 1035.43001 Hebisch, Waldemar; Steger, Tim 33 2003 On the relation between elliptic and parabolic Harnack inequalities. Zbl 0988.58007 Hebisch, Waldemar; Saloff-Coste, Laurent 78 2001 Spectral multipliers on metabelian groups. Zbl 0965.43006 Hebisch, Waldemar 5 2000 Spectral multipliers on exponential growth solvable Lie groups. Zbl 0946.22010 Hebisch, Waldemar 8 1998 On operators satisfying the Rockland condition. Zbl 0924.22007 Hebisch, Waldemar 2 1998 Boundedness of \(L^ 1\) spectral multipliers for an exponential solvable Lie group. Zbl 0874.22005 Hebisch, Waldemar 9 1997 Multiplier theorem on generalized Heisenberg groups. II. Zbl 0835.43009 Hebisch, Waldemar; Zienkiewicz, Jacek 15 1995 The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054 Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz 161 1994 Note on semigroups generated by positive Rockland operators on graded homogeneous groups. Zbl 0833.43009 Dziubański, Jacek; Hebisch, Waldemar; Zienkiewicz, Jacek 7 1994 Gaussian estimates for Markov chains and random walks on groups. Zbl 0776.60086 Hebisch, W.; Saloff-Coste, L. 98 1993 Multiplier theorem on generalized Heisenberg groups. Zbl 0841.43009 Hebisch, Waldemar 41 1993 Pointwise estimates for densities of stable semigroups of measures. Zbl 0812.43005 Głowacki, Paweł; Hebisch, Waldemar 19 1993 The subalgebra of \(L^ 1(AN)\) generated by the Laplacian. Zbl 0789.22018 Hebisch, Waldemar 8 1993 On heat kernels on Lie groups. Zbl 0792.22007 Hebisch, Waldemar 6 1992 Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142 Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar 6 1992 A remark on discontinuous translation invariant functionals on \(L_ p (G)\) for certain compact groups \(G\). Zbl 0792.43001 Hebisch, Waldemar; Krawczyk, Jarosław 2 1992 Estimates on the semigroups generated by left invariant operators on Lie groups. Zbl 0745.47025 Hebisch, Waldemar 6 1991 A multiplier theorem for Schrödinger operators. Zbl 0779.35025 Hebisch, Waldemar 41 1990 A smooth subadditive homogeneous norm on a homogeneous group. Zbl 0723.22007 Hebisch, Waldemar; Sikora, Adam 37 1990 Almost everywhere summability of eigenfunction expansions associated to elliptic operators. Zbl 0716.35053 Hebisch, Waldemar 6 1990 Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups. Zbl 0693.22005 Hebisch, Waldemar 7 1989 all cited Publications top 5 cited Publications all top 5 Cited by 629 Authors 24 Vallarino, Maria 19 Martini, Alessio 18 Saloff-Coste, Laurent 17 Winkler, Michael 16 Sikora, Adam 13 Zegarlinski, Boguslaw 12 Zhao, Jihong 11 Grigor’yan, Alexander Asaturovich 11 Müller, Detlef 10 Coulhon, Thierry 10 Ruzhansky, Michael V. 10 Sjogren, Peter 9 Peloso, Marco Maria 8 Chen, Peng 8 Dziubański, Jacek 8 Mauceri, Giancarlo 8 Meda, Stefano 8 Sztonyk, Paweł 8 Tao, Youshan 8 Yan, Lixin 8 Yang, Dachun 7 Barlow, Martin T. 7 Bruno, Tommaso 7 Cui, Shangbin 7 Duong, Xuan Thinh 7 Li, Hongquan 7 Ogawa, Takayoshi 7 The Anh Bui 6 Kumagai, Takashi 6 Le Donne, Enrico 6 Peres, Yuval 6 Tabacco, Anita 5 Biler, Piotr 5 Cowling, Michael G. 5 Georgiadis, Athanasios G. 5 Hsieh, Chia-Yu 5 Kozma, Gady 5 Li, Pengtao 5 Liu, Chun 5 Liu, Yu 5 Marias, Michel 5 Murugan, Mathav Kishore 5 Mustapha, Sami 5 Preisner, Marcin 5 Telcs, András 5 Zheng, Shijun 5 Zhou, Yuan 4 Bass, Richard F. 4 Benjamini, Itai 4 Bou Dagher, Esther 4 Calzi, Mattia 4 Cieślak, Tomasz 4 Deng, Chao 4 Dungey, Nicholas 4 Hebisch, Waldemar 4 Huang, Jizheng 4 Lee, Fizay-Noah 4 Li, Xie 4 Lierl, Janna 4 Ottazzi, Alessandro 4 Ouhabaz, El Maati 4 Pittet, Christophe 4 Rigot, Séverine 4 Santagati, Federico 4 Sapa, Lucjan 4 Stinner, Christian 4 Tan, Zhong 4 Wróbel, Błażej Jan 4 Yang, Dongyong 4 Zheng, Tianyi 3 Auscher, Pascal 3 Ben Ali, Besma 3 Betancor Perez, Jorge Juan 3 Black, Tobias 3 Bożek, Bogusław 3 Carron, Gilles 3 Chatzakou, Marianna 3 Chen, Li 3 Ciatti, Paolo 3 Danielewski, Marek 3 Duits, Remco 3 Erschler, Anna 3 Fujie, Kentaro 3 Glitzky, Annegret 3 Gretete, Driss 3 Hu, Jiaxin 3 Hutchcroft, Tom 3 Ignatova, Mihaela 3 Kaleta, Kamil 3 Karch, Grzegorz 3 Kontis, Vasilis 3 Lau, Kasing 3 Lee, Sanghyuk 3 Levi, Matteo 3 Li, Sean 3 Lin, Taichia 3 Liu, Bin 3 Liu, Liguang 3 Liu, Qiao 3 Lu, Benzhuo ...and 529 more Authors all top 5 Cited in 181 Serials 38 Journal of Functional Analysis 23 Mathematische Zeitschrift 23 Potential Analysis 16 Journal of Mathematical Analysis and Applications 15 Annales de l’Institut Fourier 14 Journal of Differential Equations 14 Transactions of the American Mathematical Society 13 Probability Theory and Related Fields 13 Revista Matemática Iberoamericana 13 The Journal of Geometric Analysis 13 The Journal of Fourier Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 The Annals of Probability 9 Advances in Mathematics 9 Mathematische Annalen 9 Journal of Theoretical Probability 8 Nonlinearity 8 Proceedings of the American Mathematical Society 7 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Applicable Analysis 6 Journal of Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Calculus of Variations and Partial Differential Equations 5 Journal d’Analyse Mathématique 5 Journal of Computational Physics 5 Mathematische Nachrichten 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Geometric and Functional Analysis. GAFA 5 Stochastic Processes and their Applications 5 Bulletin des Sciences Mathématiques 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of the London Mathematical Society. Second Series 4 Journal of the Mathematical Society of Japan 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Journal of the European Mathematical Society (JEMS) 4 Analysis and Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Reports on Mathematical Physics 3 Colloquium Mathematicum 3 Numerische Mathematik 3 Quarterly of Applied Mathematics 3 Acta Applicandae Mathematicae 3 Journal of Scientific Computing 3 Forum Mathematicum 3 Communications in Partial Differential Equations 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Annales Mathématiques Blaise Pascal 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Communications in Contemporary Mathematics 3 Analysis in Theory and Applications 2 Analysis Mathematica 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 Studia Mathematica 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Applied Mathematics Letters 2 Publicacions Matemàtiques 2 European Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Combinatorics, Probability and Computing 2 Electronic Journal of Probability 2 Acta Mathematica Sinica. English Series 2 Journal of Evolution Equations 2 Journal of the Australian Mathematical Society 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Milan Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Spectral Theory 2 Analysis and Geometry in Metric Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 1 Advances in Applied Probability 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Biology 1 Arkiv för Matematik 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics ...and 81 more Serials all top 5 Cited in 45 Fields 265 Partial differential equations (35-XX) 142 Probability theory and stochastic processes (60-XX) 141 Harmonic analysis on Euclidean spaces (42-XX) 98 Abstract harmonic analysis (43-XX) 83 Operator theory (47-XX) 80 Topological groups, Lie groups (22-XX) 70 Biology and other natural sciences (92-XX) 65 Global analysis, analysis on manifolds (58-XX) 52 Functional analysis (46-XX) 34 Potential theory (31-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Combinatorics (05-XX) 27 Numerical analysis (65-XX) 27 Fluid mechanics (76-XX) 26 Differential geometry (53-XX) 21 Measure and integration (28-XX) 20 Real functions (26-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Optics, electromagnetic theory (78-XX) 16 Group theory and generalizations (20-XX) 15 Functions of a complex variable (30-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Special functions (33-XX) 8 Ordinary differential equations (34-XX) 6 Computer science (68-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year