Edit Profile (opens in new tab) Gürlebeck, Klaus Co-Author Distance Author ID: gurlebeck.klaus Published as: Gürlebeck, Klaus; Gürlebeck, K.; Guerlebeck, Klaus; Gurlebeck, K. more...less External Links: MGP · dblp Documents Indexed: 128 Publications since 1982, including 8 Books 3 Contributions as Editor Co-Authors: 47 Co-Authors with 112 Joint Publications 635 Co-Co-Authors all top 5 Co-Authors 18 single-authored 33 Sprößig, Wolfgang 16 Bock, Sebastian 14 Morais, João Pedro 10 Hommel, Angela 9 Legatiuk, Dmitrii 8 Kähler, Uwe 7 Cação, Isabel 5 Malonek, Helmuth Robert 4 Shapiro, Michael V. 4 Tovar, Luis Manuel 3 Ahmed, Ahmed El-Sayed 3 Avetisyan, Karen L. 3 Bernstein, Swanhild 3 Habetha, Klaus 3 Nguyen, Hung Manh 3 Reséndis Ocampo, Lino Feliciano 3 Zhang, Zhongxiang 2 Cerejeiras, Paula 2 Ding, Chao 1 Abbas, Salah El-Deen 1 Al-Yasiri, Zainab R. 1 Bahmann, H. 1 Cnops, Jan 1 Delanghe, Richard 1 Falcão, Maria Irene 1 Faustino, Nelson José Rodrigues 1 Hofmann, Dirk 1 Ji, Xinhua 1 Kippig, Frank 1 Kraußhar, Rolf Sören 1 Lahmer, Tom 1 Lávička, Roman 1 Legatiuk, Anastasiia 1 Lösch, Ute 1 Nilsson, Henrik 1 Poedts, Stefaan 1 Schürer, Andreas 1 Shapiro M. V. 1 Sil’vestrov, Vasiliĭ Vasil’evich 1 Simos, Theodore E. 1 Smarsly, Kay 1 Soucek, Vladimir 1 Tasche, Manfred 1 Tràn Quóc Viêt 1 Vasileva, Iuliia 1 Wimmer, Ulrike 1 Yüksel, Uğur all top 5 Serials 15 Mathematical Methods in the Applied Sciences 11 Advances in Applied Clifford Algebras 6 Complex Variables and Elliptic Equations 5 Zeitschrift für Analysis und ihre Anwendungen 4 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 4 Complex Variables. Theory and Application 4 Computational Methods and Function Theory 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematische Nachrichten 2 Integral Transforms and Special Functions 2 Complex Analysis and Operator Theory 1 Bulletin of the Australian Mathematical Society 1 Wissenschaftliche Zeitschrift der Technischen Universität Karl-Marx-Stadt 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Journal of Natural Geometry 1 The Journal of Fuzzy Mathematics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Difference Equations and Applications 1 Cubo 1 Inverse Problems in Science and Engineering 1 ISNM. International Series of Numerical Mathematics 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Textos de Matemática. Série B 1 Grundstudium Mathematik 1 Mathematical Research all top 5 Fields 99 Functions of a complex variable (30-XX) 42 Partial differential equations (35-XX) 18 Numerical analysis (65-XX) 17 Potential theory (31-XX) 10 Functional analysis (46-XX) 9 Difference and functional equations (39-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 6 General and overarching topics; collections (00-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,310 times in 667 Documents Cited by ▼ Year ▼ Quaternionic and Clifford calculus for physicists and engineers. Zbl 0897.30023Gürlebeck, Klaus; Sprößig, Wolfgang 325 1997 Holomorphic functions in the plane and \(n\)-dimensional space. Transl. from the German. Zbl 1132.30001Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang 140 2008 Quaternionic analysis and elliptic boundary value problems. Zbl 0850.35001Gürlebeck, Klaus; Sprößig, Wolfgang 130 1990 A hypercomplex derivative of monogenic functions in \({\mathbb{R}}^{n+1}\) and its applications. Zbl 1019.30047Gürlebeck, K.; Malonek, Helmuth R. 58 1999 Quaternionic analysis and elliptic boundary value problems. Zbl 0699.35007Gürlebeck, Klaus; Sprößig, Wolfgang 50 1989 Application of holomorphic functions in two and higher dimensions. Zbl 1359.30053Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang 43 2016 On a generalized Appell system and monogenic power series. Zbl 1195.30068Bock, Sebastian; Gürlebeck, Klaus 37 2010 Clifford analysis over unbounded domains. Zbl 0877.30026Gürlebeck, Klaus; Kähler, Uwe; Ryan, John; Sprößig, Wolfgang 26 1997 On derivatives of spherical monogenics. Zbl 1105.30035Cação, Isabel; Gürlebeck, Klaus; Bock, Sebastian 24 2006 Some Riemann boundary value problems in Clifford analysis. Zbl 1182.30083Gürlebeck, Klaus; Zhang, Zhongxiang 20 2010 Special monogenic polynomials and \(L_2\)-approximation. Zbl 1221.30100Cação, I.; Gürlebeck, K.; Malonek, H. 20 2001 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 19 2012 On finite difference potentials and their applications in a discrete function theory. Zbl 1013.30031Gürlebeck, K.; Hommel, A. 18 2002 On a spatial generalization of the Kolosov-Muskhelishvili formulae. Zbl 1151.74308Gürlebeck, Klaus; Bock, Sebastian 18 2009 On finite difference Dirac operators and their fundamental solutions. Zbl 1221.30107Gürlebeck, Klaus; Hommel, Angela 17 2001 Function theory in plane and space. (Funktionentheorie in der Ebene und im Raum.) Zbl 1104.30001Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang 16 2006 Real-part estimates for solutions of the Riesz system in \(\mathbb R^{3}\). Zbl 1252.30033Morais, J.; Gürlebeck, K. 16 2012 On \({\mathbb{Q}}_ p\)-spaces of quaternion-valued functions. Zbl 1043.30030Gürlebeck, K.; Kähler, U.; Shapiro, M. V.; Tovar, L. M. 15 1999 On a boundary value problem of the biharmonic equation. Zbl 0878.35037Gürlebeck, K.; Kähler, U. 14 1997 On a spatial generalization of the complex \(\Pi\)-operator. Zbl 0864.30039Gürlebeck, K.; Kähler, U. 13 1996 Difference potentials for the Navier–Stokes equations in unbounded domains. Zbl 1092.76043Faustino, N.; Gürlebeck, K.; Hommel, A.; Kähler, U. 11 2006 \(\psi\)-hyperholomorphic functions and a Kolosov-Muskhelishvili formula. Zbl 1338.30043Bock, S.; Gürlebeck, K.; Legatiuk, D.; Nguyen, H. M. 11 2015 On strict inclusions of weighted Dirichlet spaces of monogenic functions. Zbl 0982.30028Gürlebeck, K.; Malonek, H. R. 11 2001 On the \(\Pi\)-operator in hyperholomorphic function theory. Zbl 0947.30036Gürlebeck, K.; Kähler, U.; Shapiro, M. 10 1999 On a polynomial basis generated from the generalized Kolosov-Muskhelishvili formulae. Zbl 1172.30022Bock, Sebastian; Gürlebeck, Klaus 9 2009 Hypercomplex factorization of the Helmholtz equation. Zbl 0593.35029Gürlebeck, K. 9 1986 On orthonormal polynomial solutions of the Riesz system in \(\mathbb R^3\). Zbl 1236.30040Gürlebeck, K.; Morais, J. 9 2011 Complete orthonormal systems of spherical monogenics – a constructive approach. Zbl 1108.30037Cação, Isabel; Gürlebeck, Klaus; Bock, Sebastian 9 2004 Characterizations for Bloch space by \(\mathrm B^{\mathrm{p, q}}\) spaces in Clifford analysis. Zbl 1091.30047El-Sayed Ahmed, A.; Gürlebeck, K.; Reséndis, L. F.; Tovar S., Luis M. 9 2006 Methods of quaternionic analysis for the treatment of nonlinear boundary value problems. Zbl 1089.35018Guerlebeck, Klaus; Sproessig, Wolfgang 8 2000 A quaternionic Beltrami-type equation and the existence of local homeomorphic solutions. Zbl 1108.30318Cerejeiras, P.; Gürlebeck, K.; Kähler, U.; Malonek, H. 8 2001 Borel-carathéodory type theorem for monogenic functions. Zbl 1175.30045Gürlebeck, Klaus; Morais, Joao; Cerejeiras, Paula 8 2009 Bohr type theorems for monogenic power series. Zbl 1186.30043Gürlebeck, Klaus; Morais, João Pedro 8 2009 Dirichlet and Hardy spaces of harmonic and monogenic functions. Zbl 1102.30048Bernstein, S.; Gürlebeck, K.; Reséndis O., L. F.; Tovar S., L. M. 7 2006 On \(\psi\)-hyperholomorphic functions and a decomposition of harmonics. Zbl 1314.30103Gürlebeck, Klaus; Nguyen, Hung Manh 7 2014 Approximation by monogenic polynomials. Zbl 1094.30050Caçao, I.; Gürlebeck, K. 7 2005 On monogenic primitives of monogenic functions. Zbl 1148.30027Cação, I.; Gürlebeck, K. 7 2007 On orthogonal monogenics in oblate spheroidal domains and recurrence formulae. Zbl 1305.30025Nguyen, H. M.; Gürlebeck, K.; Morais, J.; Bock, S. 7 2014 On the calculation of monogenic primitives. Zbl 1208.30047Gürlebeck, Klaus; Morais, João 6 2007 On the treatment of fluid problems by methods of Clifford analysis. Zbl 1017.76504Sprössig, Wolfgang; Gürlebeck, Klaus 6 1997 Some Riemann boundary value problems in Clifford analysis. I. Zbl 1280.30023Zhang, Zhongxiang; Gürlebeck, Klaus 6 2013 Geometric characterization of \(\mathcal M\)-conformal mappings. Zbl 1214.68432Gürlebeck, K.; Morais, J. 5 2010 On a Teodorescu transform for a class of metaharmonic functions. Zbl 0999.30032Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2002 Generalized integral representations for functions with values in \(C(V_{3,3})\). Zbl 1214.30042Gürlebeck, Klaus; Zhang, Zhongxiang 5 2011 On the development of Bohr’s phenomenon in the context of quaternionic analysis and related problems. Zbl 1253.30065Gürlebeck, K.; Morais, J. 5 2010 On a modified Teodorescu transform. Zbl 1022.44003Bahmann, H.; Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2001 On a higher-dimensional Miura transform. Zbl 1018.30038Bernstein, Swanhild; Gürlebeck, Klaus 5 1999 Bloch’s theorem in the context of quaternion analysis. Zbl 1262.30057Morais, João Pedro; Gürlebeck, Klaus 5 2012 On Riesz systems of harmonic conjugates in \(\mathbb R^3\). Zbl 1309.30044Morais, J.; Avetisyan, K.; Gürlebeck, K. 5 2013 On the continuous coupling between analytical and finite element solutions. Zbl 1314.30061Bock, S.; Gürlebeck, K.; Legatiuk, D. 4 2012 On series expansions of hyperholomorphic \(B^q\) functions. Zbl 1058.30045Gürlebeck, K.; El-Sayed Ahmed, A. 4 2004 On mapping properties of monogenic functions. Zbl 1171.30022Gürlebeck, K.; Morais, J. 4 2009 On some classes of \(\Pi\)-operators. Zbl 0947.30037Gürlebeck, Klaus 4 1998 A 3-dimensional Bergman kernel method with applications to rectangular domains. Zbl 1099.30003Bock, Sebastian; Falcão, M. I.; Gürlebeck, Klaus; Malonek, H. 3 2006 On discrete Stokes and Navier-Stokes equations in the plane. Zbl 1075.30022Gürlebeck, Klaus; Hommel, Angela 3 2004 On the continuous coupling of finite elements with holomorphic basis functions. Zbl 1314.30060Gürlebeck, Klaus; Legatiuk, Dmitrii 3 2014 Über Interpolation und Approximation verallgemeinert analytischer Funktionen. Zbl 0551.41004Gürlebeck, K. 3 1982 On some operators in Clifford analysis. Zbl 0890.30033Gürlebeck, Klaus 3 1998 Approximate solution of the stationary Navier-Stokes equations. Zbl 0726.35101Gürlebeck, Klaus 3 1990 On fundamental solutions of the heat conduction difference operator. Zbl 0814.31007Gürlebeck, K.; Hommel, A. 3 1994 Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions. Zbl 1184.30041Avetisyan, Karen; Gürlebeck, Klaus; Sprössig, Wolfgang 3 2009 \(Q_p\)-spaces in Clifford analysis. Zbl 1221.30103Cnops, J.; Delanghe, R.; Gürlebeck, K.; Shapiro M. V. 3 2001 Fluid flow problems with quaternionic analysis—an alternative conception. Zbl 1207.35240Gürlebeck, K.; Sprößig, W. 2 2010 Monogenic primitives of monogenic functions. Zbl 1077.46038Gürlebeck, Klaus; Cação, Isabel 2 2004 Local properties of monogenic mappings. Zbl 1189.30091Gürlebeck, K.; Morais, J. 2 2009 A generalized Leibniz rule and foundation of a discrete quaternionic analysis. Zbl 0659.30041Gürlebeck, Klaus; Sprößig, Wolfgang 2 1987 On \(\mathbf B^q\) spaces of hyperholomorphic functions and the Bloch space in \(\mathbb{R}^3\). Zbl 1134.30041Gürlebeck, K.; Ahmed, A. El-Sayed 2 2004 Clifford-analysis and elliptic boundary value problems. Zbl 0837.35040Gürlebeck, Klaus; Sprößig, Wolfgang 2 1995 Complex Clifford-analysis and elliptic boundary value problems. Zbl 0844.30031Gürlebeck, K.; Kippig, F. 2 1995 Hypercomplex function theory for nonlinear Stokes problems with variable viscosity. Zbl 0811.30030Gürlebeck, Klaus; Sprößig, Wolfgang; Wimmer, Ulrike 2 1993 Bohr’s theorem for monogenic functions. Zbl 1152.30331Gürlebeck, K.; Morais, J. 2 2007 Integral norms for hyperholomorphic Bloch-functions in the unit ball of \(\mathbb R^3\). Zbl 1152.30327Gürlebeck, K.; El-Sayed, Ahmed 2 2003 Grundlagen einer diskreten räumlich verallgemeinerten Funktionentheorie und ihrer Anwendungen. (Foundations of a discrete spatially generalised function theory and its applications). Zbl 0704.35043Gürlebeck, Klaus 1 1988 On a boundary value problem for a \(p\)-Dirac equation. Zbl 1357.30034Al-Yasiri, Zainab R.; Gürlebeck, Klaus 1 2016 Mixed antiplane boundary-value problem for a piecewise-homogeneous elastic body with a semi-infinite interfacial crack. Zbl 1355.30039Vasileva, Iuliia; Gürlebeck, Klaus; Silvestrov, Vasily 1 2016 Special bases for solutions of a generalized Maxwell system in 3-dimensional space. Zbl 1397.35300Ding, Chao; Bock, Sebastian; Gürlebeck, Klaus 1 2018 On the solution of discrete Vekua equations. Zbl 1096.30039Gürlebeck, Klaus; Hommel, Angela 1 2005 Discrete Vekua equations with constant coefficients in the complex and quaternionic case. Zbl 1071.30044Gürlebeck, K.; Hommel, A. 1 2004 On some properties of pseudo-complex polynomials. Zbl 1388.30074Gürlebeck, Klaus; Legatiuk, Dmitrii 1 2016 A quaternionic approach to treat the ideally stationary magnetohydrodynamic equations. Zbl 1350.76055Gürlebeck, K.; Kraußhar, R. S.; Poedts, S. 1 2009 Clifford algebras in mathematics and applied sciences. Zbl 1152.15310Sprössig, Wolfgang; Gürlebeck, Klaus 1 2007 On hypercomplex differential and primitivation operators with applications to representation formulae of linear elastostatics. Zbl 1152.74305Gürlebeck, Klaus; Bock, Sebastian 1 2007 On recurrence formulae of solid spherical monogenics. Zbl 1172.30021Gürlebeck, Klaus; Bock, Sebastian 1 2008 The discrete Borel-Pompeiu formula on a rectangular lattice. Zbl 1394.39005Legatiuk, Anastasiia; Gürlebeck, Klaus; Hommel, Angela 1 2018 Finite difference Cauchy-Riemann operators and their fundamental solutions in the complex case. Zbl 1049.30031Gürlebeck, Klaus; Hommel, Angela 1 2003 A unified approach to estimation of lower bounds for the first eigenvalue of several elliptic boundary value problems. Zbl 0638.35064Gürlebeck, Klaus; Sprößig, Wolfgang 1 1987 Error estimates for the coupling of analytical and numerical solutions. Zbl 1372.30036Gürlebeck, Klaus; Kähler, Uwe; Legatiuk, Dmitrii 1 2017 Special bases for solutions of a generalized Maxwell system in 3-dimensional space. Zbl 1397.35300Ding, Chao; Bock, Sebastian; Gürlebeck, Klaus 1 2018 The discrete Borel-Pompeiu formula on a rectangular lattice. Zbl 1394.39005Legatiuk, Anastasiia; Gürlebeck, Klaus; Hommel, Angela 1 2018 Error estimates for the coupling of analytical and numerical solutions. Zbl 1372.30036Gürlebeck, Klaus; Kähler, Uwe; Legatiuk, Dmitrii 1 2017 Application of holomorphic functions in two and higher dimensions. Zbl 1359.30053Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang 43 2016 On a boundary value problem for a \(p\)-Dirac equation. Zbl 1357.30034Al-Yasiri, Zainab R.; Gürlebeck, Klaus 1 2016 Mixed antiplane boundary-value problem for a piecewise-homogeneous elastic body with a semi-infinite interfacial crack. Zbl 1355.30039Vasileva, Iuliia; Gürlebeck, Klaus; Silvestrov, Vasily 1 2016 On some properties of pseudo-complex polynomials. Zbl 1388.30074Gürlebeck, Klaus; Legatiuk, Dmitrii 1 2016 \(\psi\)-hyperholomorphic functions and a Kolosov-Muskhelishvili formula. Zbl 1338.30043Bock, S.; Gürlebeck, K.; Legatiuk, D.; Nguyen, H. M. 11 2015 On \(\psi\)-hyperholomorphic functions and a decomposition of harmonics. Zbl 1314.30103Gürlebeck, Klaus; Nguyen, Hung Manh 7 2014 On orthogonal monogenics in oblate spheroidal domains and recurrence formulae. Zbl 1305.30025Nguyen, H. M.; Gürlebeck, K.; Morais, J.; Bock, S. 7 2014 On the continuous coupling of finite elements with holomorphic basis functions. Zbl 1314.30060Gürlebeck, Klaus; Legatiuk, Dmitrii 3 2014 Some Riemann boundary value problems in Clifford analysis. I. Zbl 1280.30023Zhang, Zhongxiang; Gürlebeck, Klaus 6 2013 On Riesz systems of harmonic conjugates in \(\mathbb R^3\). Zbl 1309.30044Morais, J.; Avetisyan, K.; Gürlebeck, K. 5 2013 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 19 2012 Real-part estimates for solutions of the Riesz system in \(\mathbb R^{3}\). Zbl 1252.30033Morais, J.; Gürlebeck, K. 16 2012 Bloch’s theorem in the context of quaternion analysis. Zbl 1262.30057Morais, João Pedro; Gürlebeck, Klaus 5 2012 On the continuous coupling between analytical and finite element solutions. Zbl 1314.30061Bock, S.; Gürlebeck, K.; Legatiuk, D. 4 2012 On orthonormal polynomial solutions of the Riesz system in \(\mathbb R^3\). Zbl 1236.30040Gürlebeck, K.; Morais, J. 9 2011 Generalized integral representations for functions with values in \(C(V_{3,3})\). Zbl 1214.30042Gürlebeck, Klaus; Zhang, Zhongxiang 5 2011 On a generalized Appell system and monogenic power series. Zbl 1195.30068Bock, Sebastian; Gürlebeck, Klaus 37 2010 Some Riemann boundary value problems in Clifford analysis. Zbl 1182.30083Gürlebeck, Klaus; Zhang, Zhongxiang 20 2010 Geometric characterization of \(\mathcal M\)-conformal mappings. Zbl 1214.68432Gürlebeck, K.; Morais, J. 5 2010 On the development of Bohr’s phenomenon in the context of quaternionic analysis and related problems. Zbl 1253.30065Gürlebeck, K.; Morais, J. 5 2010 Fluid flow problems with quaternionic analysis—an alternative conception. Zbl 1207.35240Gürlebeck, K.; Sprößig, W. 2 2010 On a spatial generalization of the Kolosov-Muskhelishvili formulae. Zbl 1151.74308Gürlebeck, Klaus; Bock, Sebastian 18 2009 On a polynomial basis generated from the generalized Kolosov-Muskhelishvili formulae. Zbl 1172.30022Bock, Sebastian; Gürlebeck, Klaus 9 2009 Borel-carathéodory type theorem for monogenic functions. Zbl 1175.30045Gürlebeck, Klaus; Morais, Joao; Cerejeiras, Paula 8 2009 Bohr type theorems for monogenic power series. Zbl 1186.30043Gürlebeck, Klaus; Morais, João Pedro 8 2009 On mapping properties of monogenic functions. Zbl 1171.30022Gürlebeck, K.; Morais, J. 4 2009 Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions. Zbl 1184.30041Avetisyan, Karen; Gürlebeck, Klaus; Sprössig, Wolfgang 3 2009 Local properties of monogenic mappings. Zbl 1189.30091Gürlebeck, K.; Morais, J. 2 2009 A quaternionic approach to treat the ideally stationary magnetohydrodynamic equations. Zbl 1350.76055Gürlebeck, K.; Kraußhar, R. S.; Poedts, S. 1 2009 Holomorphic functions in the plane and \(n\)-dimensional space. Transl. from the German. Zbl 1132.30001Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang 140 2008 On recurrence formulae of solid spherical monogenics. Zbl 1172.30021Gürlebeck, Klaus; Bock, Sebastian 1 2008 On monogenic primitives of monogenic functions. Zbl 1148.30027Cação, I.; Gürlebeck, K. 7 2007 On the calculation of monogenic primitives. Zbl 1208.30047Gürlebeck, Klaus; Morais, João 6 2007 Bohr’s theorem for monogenic functions. Zbl 1152.30331Gürlebeck, K.; Morais, J. 2 2007 Clifford algebras in mathematics and applied sciences. Zbl 1152.15310Sprössig, Wolfgang; Gürlebeck, Klaus 1 2007 On hypercomplex differential and primitivation operators with applications to representation formulae of linear elastostatics. Zbl 1152.74305Gürlebeck, Klaus; Bock, Sebastian 1 2007 On derivatives of spherical monogenics. Zbl 1105.30035Cação, Isabel; Gürlebeck, Klaus; Bock, Sebastian 24 2006 Function theory in plane and space. (Funktionentheorie in der Ebene und im Raum.) Zbl 1104.30001Gürlebeck, Klaus; Habetha, Klaus; Sprößig, Wolfgang 16 2006 Difference potentials for the Navier–Stokes equations in unbounded domains. Zbl 1092.76043Faustino, N.; Gürlebeck, K.; Hommel, A.; Kähler, U. 11 2006 Characterizations for Bloch space by \(\mathrm B^{\mathrm{p, q}}\) spaces in Clifford analysis. Zbl 1091.30047El-Sayed Ahmed, A.; Gürlebeck, K.; Reséndis, L. F.; Tovar S., Luis M. 9 2006 Dirichlet and Hardy spaces of harmonic and monogenic functions. Zbl 1102.30048Bernstein, S.; Gürlebeck, K.; Reséndis O., L. F.; Tovar S., L. M. 7 2006 A 3-dimensional Bergman kernel method with applications to rectangular domains. Zbl 1099.30003Bock, Sebastian; Falcão, M. I.; Gürlebeck, Klaus; Malonek, H. 3 2006 Approximation by monogenic polynomials. Zbl 1094.30050Caçao, I.; Gürlebeck, K. 7 2005 On the solution of discrete Vekua equations. Zbl 1096.30039Gürlebeck, Klaus; Hommel, Angela 1 2005 Complete orthonormal systems of spherical monogenics – a constructive approach. Zbl 1108.30037Cação, Isabel; Gürlebeck, Klaus; Bock, Sebastian 9 2004 On series expansions of hyperholomorphic \(B^q\) functions. Zbl 1058.30045Gürlebeck, K.; El-Sayed Ahmed, A. 4 2004 On discrete Stokes and Navier-Stokes equations in the plane. Zbl 1075.30022Gürlebeck, Klaus; Hommel, Angela 3 2004 Monogenic primitives of monogenic functions. Zbl 1077.46038Gürlebeck, Klaus; Cação, Isabel 2 2004 On \(\mathbf B^q\) spaces of hyperholomorphic functions and the Bloch space in \(\mathbb{R}^3\). Zbl 1134.30041Gürlebeck, K.; Ahmed, A. El-Sayed 2 2004 Discrete Vekua equations with constant coefficients in the complex and quaternionic case. Zbl 1071.30044Gürlebeck, K.; Hommel, A. 1 2004 Integral norms for hyperholomorphic Bloch-functions in the unit ball of \(\mathbb R^3\). Zbl 1152.30327Gürlebeck, K.; El-Sayed, Ahmed 2 2003 Finite difference Cauchy-Riemann operators and their fundamental solutions in the complex case. Zbl 1049.30031Gürlebeck, Klaus; Hommel, Angela 1 2003 On finite difference potentials and their applications in a discrete function theory. Zbl 1013.30031Gürlebeck, K.; Hommel, A. 18 2002 On a Teodorescu transform for a class of metaharmonic functions. Zbl 0999.30032Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2002 Special monogenic polynomials and \(L_2\)-approximation. Zbl 1221.30100Cação, I.; Gürlebeck, K.; Malonek, H. 20 2001 On finite difference Dirac operators and their fundamental solutions. Zbl 1221.30107Gürlebeck, Klaus; Hommel, Angela 17 2001 On strict inclusions of weighted Dirichlet spaces of monogenic functions. Zbl 0982.30028Gürlebeck, K.; Malonek, H. R. 11 2001 A quaternionic Beltrami-type equation and the existence of local homeomorphic solutions. Zbl 1108.30318Cerejeiras, P.; Gürlebeck, K.; Kähler, U.; Malonek, H. 8 2001 On a modified Teodorescu transform. Zbl 1022.44003Bahmann, H.; Gürlebeck, K.; Shapiro, M.; Sprössig, W. 5 2001 \(Q_p\)-spaces in Clifford analysis. Zbl 1221.30103Cnops, J.; Delanghe, R.; Gürlebeck, K.; Shapiro M. V. 3 2001 Methods of quaternionic analysis for the treatment of nonlinear boundary value problems. Zbl 1089.35018Guerlebeck, Klaus; Sproessig, Wolfgang 8 2000 A hypercomplex derivative of monogenic functions in \({\mathbb{R}}^{n+1}\) and its applications. Zbl 1019.30047Gürlebeck, K.; Malonek, Helmuth R. 58 1999 On \({\mathbb{Q}}_ p\)-spaces of quaternion-valued functions. Zbl 1043.30030Gürlebeck, K.; Kähler, U.; Shapiro, M. V.; Tovar, L. M. 15 1999 On the \(\Pi\)-operator in hyperholomorphic function theory. Zbl 0947.30036Gürlebeck, K.; Kähler, U.; Shapiro, M. 10 1999 On a higher-dimensional Miura transform. Zbl 1018.30038Bernstein, Swanhild; Gürlebeck, Klaus 5 1999 On some classes of \(\Pi\)-operators. Zbl 0947.30037Gürlebeck, Klaus 4 1998 On some operators in Clifford analysis. Zbl 0890.30033Gürlebeck, Klaus 3 1998 Quaternionic and Clifford calculus for physicists and engineers. Zbl 0897.30023Gürlebeck, Klaus; Sprößig, Wolfgang 325 1997 Clifford analysis over unbounded domains. Zbl 0877.30026Gürlebeck, Klaus; Kähler, Uwe; Ryan, John; Sprößig, Wolfgang 26 1997 On a boundary value problem of the biharmonic equation. Zbl 0878.35037Gürlebeck, K.; Kähler, U. 14 1997 On the treatment of fluid problems by methods of Clifford analysis. Zbl 1017.76504Sprössig, Wolfgang; Gürlebeck, Klaus 6 1997 On a spatial generalization of the complex \(\Pi\)-operator. Zbl 0864.30039Gürlebeck, K.; Kähler, U. 13 1996 Clifford-analysis and elliptic boundary value problems. Zbl 0837.35040Gürlebeck, Klaus; Sprößig, Wolfgang 2 1995 Complex Clifford-analysis and elliptic boundary value problems. Zbl 0844.30031Gürlebeck, K.; Kippig, F. 2 1995 On fundamental solutions of the heat conduction difference operator. Zbl 0814.31007Gürlebeck, K.; Hommel, A. 3 1994 Hypercomplex function theory for nonlinear Stokes problems with variable viscosity. Zbl 0811.30030Gürlebeck, Klaus; Sprößig, Wolfgang; Wimmer, Ulrike 2 1993 Quaternionic analysis and elliptic boundary value problems. Zbl 0850.35001Gürlebeck, Klaus; Sprößig, Wolfgang 130 1990 Approximate solution of the stationary Navier-Stokes equations. Zbl 0726.35101Gürlebeck, Klaus 3 1990 Quaternionic analysis and elliptic boundary value problems. Zbl 0699.35007Gürlebeck, Klaus; Sprößig, Wolfgang 50 1989 Grundlagen einer diskreten räumlich verallgemeinerten Funktionentheorie und ihrer Anwendungen. (Foundations of a discrete spatially generalised function theory and its applications). Zbl 0704.35043Gürlebeck, Klaus 1 1988 A generalized Leibniz rule and foundation of a discrete quaternionic analysis. Zbl 0659.30041Gürlebeck, Klaus; Sprößig, Wolfgang 2 1987 A unified approach to estimation of lower bounds for the first eigenvalue of several elliptic boundary value problems. Zbl 0638.35064Gürlebeck, Klaus; Sprößig, Wolfgang 1 1987 Hypercomplex factorization of the Helmholtz equation. Zbl 0593.35029Gürlebeck, K. 9 1986 Über Interpolation und Approximation verallgemeinert analytischer Funktionen. Zbl 0551.41004Gürlebeck, K. 3 1982 all cited Publications top 5 cited Publications all top 5 Cited by 431 Authors 55 Bory Reyes, Juan 48 Abreu-Blaya, Ricardo 46 Sommen, Franciscus 41 Kähler, Uwe 40 Kraußhar, Rolf Sören 37 Gürlebeck, Klaus 36 De Schepper, Hennie 34 Brackx, Fred F. 27 Morais, João Pedro 24 Cerejeiras, Paula 22 Sabadini, Irene 20 Colombo, Fabrizio 19 Ku, Min 18 Constales, Denis 18 Malonek, Helmuth Robert 18 Shapiro, Michael V. 18 Soucek, Vladimir 18 Vieira, Nelson 17 Bernstein, Swanhild 16 Bock, Sebastian 16 Lávička, Roman 16 Peña Peña, Dixan 16 Ren, Guangbin 15 Sprößig, Wolfgang 14 Cação, Isabel 12 Falcão, Maria Irene 12 Gu, Longfei 12 Ludkovsky, Sergey Victor 12 Perotti, Alessandro 11 Ahmed, Ahmed El-Sayed 11 Alpay, Daniel Aron 11 Eelbode, David 11 Ghiloni, Riccardo 11 Pérez-de La Rosa, Marco Antonio 10 de Almeida, Regina 10 Kravchenko, Vladislav V. 9 Delanghe, Richard 9 González-Cervantes, José Óscar 9 Legatiuk, Dmitrii 9 Luna-Elizarrarás, María Elena 9 Schneider, Baruch 9 Zhang, Zhongxiang 8 Adán, Alí Guzmán 8 De Ridder, Hilde 8 Grob, Dennis 8 Opfer, Gerhard 8 Porter, R. Michael 7 Dinh, Doan Cong 7 Faustino, Nelson José Rodrigues 7 Kou, Kit-Ian 7 Orelma, Heikki 7 Rodrigues, Maria Manuela 6 Du, Jinyuan 6 Ferreira, Milton 6 He, Fuli 6 Hommel, Angela 6 Qian, Tao 6 Qiao, Yuying 6 Vanegas, Judith C. 6 Wang, Liping 5 Delgado, Briceyda B. 5 Diki, Kamal 5 Eriksson, Sirkka-Liisa 5 Hitzer, Eckhard 5 Janovská, Drahoslava 5 Moreno García, Tania 5 Nguyen, Hung Manh 5 Vargas, Franklin 5 Wang, Daoshun 5 Zayed, Mohra 5 Zhang, Binlin 4 Aloui, Lassaad 4 Ávila-Ávila, Rafael 4 De Knock, Bram 4 Gantner, Jonathan 4 González-Campos, Daniel 4 Hassan, Gamal F. 4 Jin, Ming 4 Mitrea, Marius 4 Moreno García, Arsenio 4 Pinton, Stefano 4 Reséndis Ocampo, Lino Feliciano 4 Rodríguez-Dagnino, Ramón Martín 4 Santiesteban, Daniel Alfonso 4 Shpakivskyi, Vitalii Stanislavovich 4 Stoppato, Caterina 4 Tovar, Luis Manuel 4 Wang, Chao 4 Wang, Haiyan 4 Yüksel, Uğur 3 Acus, Arturas 3 Avetisyan, Karen L. 3 Bakhit, Mahmoud Ali 3 Begehr, Heinrich 3 Clarysse, Patrick 3 Dargys, Adolfas 3 De Bie, Hendrik 3 De Martino, Antonino 3 Delachartre, Philippe 3 Fu, Yongqiang ...and 331 more Authors all top 5 Cited in 126 Serials 140 Advances in Applied Clifford Algebras 74 Mathematical Methods in the Applied Sciences 54 Complex Analysis and Operator Theory 47 Complex Variables and Elliptic Equations 31 Journal of Mathematical Analysis and Applications 22 Computational Methods and Function Theory 12 Applied Mathematics and Computation 12 Zeitschrift für Analysis und ihre Anwendungen 11 The Journal of Geometric Analysis 9 Results in Mathematics 9 Boundary Value Problems 7 Transactions of the American Mathematical Society 5 Applicable Analysis 5 Ukrainian Mathematical Journal 5 Mathematische Nachrichten 5 Journal of Mathematical Sciences (New York) 5 Journal of Difference Equations and Applications 5 Analysis and Mathematical Physics 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Zeitschrift 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Milan Journal of Mathematics 4 International Journal of Wavelets, Multiresolution and Information Processing 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Integral Equations and Operator Theory 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Chinese Annals of Mathematics. Series B 3 Mathematical and Computer Modelling 3 Integral Transforms and Special Functions 3 Acta Mathematica Sinica. English Series 3 Mediterranean Journal of Mathematics 2 Computers & Mathematics with Applications 2 Wave Motion 2 Mathematics of Computation 2 Czechoslovak Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Annals of Global Analysis and Geometry 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 Science in China. Series A 2 Annals of Physics 2 Journal of Elasticity 2 Linear Algebra and its Applications 2 Fractals 2 Engineering Analysis with Boundary Elements 2 The Journal of Fourier Analysis and Applications 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Nonlinear Analysis. Modelling and Control 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Geometric Methods in Modern Physics 2 Frontiers of Mathematics in China 2 Journal of Mathematics 2 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Physica A 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT 1 Journal of Approximation Theory 1 Journal of Number Theory 1 Mathematica Slovaca 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Multidimensional Systems and Signal Processing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Imaging and Vision 1 Vestnik St. Petersburg University. Mathematics 1 Russian Mathematics 1 Potential Analysis 1 Applied Mathematics. Series B (English Edition) 1 Physics of Fluids 1 Georgian Mathematical Journal 1 Filomat 1 Mathematical Physics, Analysis and Geometry ...and 26 more Serials all top 5 Cited in 49 Fields 518 Functions of a complex variable (30-XX) 150 Partial differential equations (35-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 44 Operator theory (47-XX) 42 Functional analysis (46-XX) 40 Potential theory (31-XX) 40 Several complex variables and analytic spaces (32-XX) 34 Special functions (33-XX) 30 Numerical analysis (65-XX) 25 Number theory (11-XX) 22 Difference and functional equations (39-XX) 19 Quantum theory (81-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Mechanics of deformable solids (74-XX) 16 Optics, electromagnetic theory (78-XX) 15 Integral transforms, operational calculus (44-XX) 14 Approximations and expansions (41-XX) 14 Fluid mechanics (76-XX) 11 Real functions (26-XX) 11 Integral equations (45-XX) 10 Nonassociative rings and algebras (17-XX) 10 Differential geometry (53-XX) 9 Ordinary differential equations (34-XX) 8 Information and communication theory, circuits (94-XX) 7 Field theory and polynomials (12-XX) 7 Abstract harmonic analysis (43-XX) 6 Combinatorics (05-XX) 6 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year