Edit Profile (opens in new tab) Kraußhar, Rolf Sören Co-Author Distance Author ID: krausshar.rolf-soren Published as: Kraußhar, Rolf Sören; Kraußhar, R. S.; Krausshar, Rolf Sören; Krausshar, R. S.; Kraußhar, R. Sören; Krausshar, Rolf Soeren; Sören Kraußhar, Rolf; Kraußhar, Rof Sören more...less Homepage: http://www3.mathematik.tu-darmstadt.de/hp/algebra/krausshar-soeren/homepage.html External Links: MGP Documents Indexed: 104 Publications since 2000, including 2 Books and 4 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 35 Co-Authors with 83 Joint Publications 593 Co-Co-Authors all top 5 Co-Authors 22 single-authored 39 Constales, Denis 18 de Almeida, Regina 9 Vieira, Nelson 8 Grob, Dennis 8 Rodrigues, Maria Manuela 6 Sabadini, Irene 5 Legatiuk, Dmitrii 5 Ryan, John 4 Cação, Isabel 3 Cerejeiras, Paula 3 Colombo, Fabrizio 3 Ferreira, Milton 3 Kähler, Uwe 2 Bernstein, Swanhild 2 Ebert, Svend 2 Legatiuk, Anastasiia 2 Malonek, Helmuth Robert 2 Tolksdorf, Jürgen 1 Albuquerque, Helena 1 Bringmann, Kathrin 1 Bulla, E. 1 Colombo, Fabizio 1 Delanghe, Richard 1 Diki, Kamal 1 Eriksson, Sirkka-Liisa 1 Faustino, Nelson José Rodrigues 1 Gürlebeck, Klaus 1 Hempfling, Thomas 1 Legatiukand, Anastasiia 1 Leopardi, Paul Charles 1 Perotti, Alessandro 1 Pinton, Stefano 1 Poedts, Stefaan 1 Qiao, Yuying 1 Ruscheweyh, Stephan 1 Simsek, Yilmaz all top 5 Serials 14 Mathematical Methods in the Applied Sciences 7 Complex Analysis and Operator Theory 5 Journal of Mathematical Analysis and Applications 5 Advances in Applied Clifford Algebras 4 Archiv der Mathematik 4 Journal of Number Theory 4 Zeitschrift für Analysis und ihre Anwendungen 3 Results in Mathematics 3 Complex Variables. Theory and Application 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Royale des Sciences de Liège 2 Forum Mathematicum 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Computational Methods and Function Theory 2 Milan Journal of Mathematics 2 Complex Variables and Elliptic Equations 1 Discrete Applied Mathematics 1 Journal of Mathematical Physics 1 Journal of Geometry and Physics 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Mathematical Physics, Analysis and Geometry 1 Journal of Evolution Equations 1 Mediterranean Journal of Mathematics 1 Cubo 1 Aachener Beiträge zur Mathematik 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Frontiers in Mathematics all top 5 Fields 89 Functions of a complex variable (30-XX) 31 Partial differential equations (35-XX) 18 Number theory (11-XX) 11 Several complex variables and analytic spaces (32-XX) 9 Special functions (33-XX) 8 Fluid mechanics (76-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Potential theory (31-XX) 6 Differential geometry (53-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 418 times in 187 Documents Cited by ▼ Year ▼ Generalized analytic automorphic forms in hypercomplex spaces. Zbl 1058.30046 Kraußhar, Rolf Sören 28 2004 On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy–Riemann system in \(\mathbb R^{n+1}\). Zbl 1108.30041 Constales, D.; De Almeida, R.; Kraußhar, R. S. 22 2007 Some conformally flat spin manifolds, Dirac operators and automorphic forms. Zbl 1107.30037 Kraußhar, R. S.; Ryan, John 21 2007 On the growth type of entire monogenic functions. Zbl 1109.30040 Constales, D.; De Almeida, R.; Krausshar, R. S. 17 2007 On Cauchy estimates and growth orders of entire solutions of iterated Dirac and generalized Cauchy-Riemann equations. Zbl 1108.35011 Constales, D.; De Almeida, R.; Kraußhar, R. S. 16 2006 On the asymptotic growth of entire monogenic functions. Zbl 1095.30044 de Almeida, Regina; Kraußhar, R. S. 16 2006 Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains. Zbl 1096.30041 Constales, D.; Kraußhar, R. S. 15 2005 On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. Zbl 1479.30034 Diki, Kamal; Krausshar, Rolf Sören; Sabadini, Irene 15 2019 Differentiability of functions with values in some real associative algebras: approaches to an old problem. Zbl 1052.30049 Delanghe, R.; Kraußhar, R. S.; Malonek, H. R. 13 2001 Clifford and harmonic analysis on cylinders and tori. Zbl 1079.30067 Kraußhar, Rolf Sören; Ryan, John 13 2005 Monogenic multiperiodic functions in Clifford analysis. Zbl 1055.30048 Krausshar, Rolf Sören 10 2001 A characterization of conformal mappings in \(\mathbb{R}^4\) by a formal differentiability condition. Zbl 1004.30032 Kraußhar, Rolf Sören; Malonek, Helmuth Robert 9 2001 Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups. Zbl 1204.58029 Bulla, E.; Constales, D.; Kraußhar, R. S.; Ryan, John 9 2010 Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis. Zbl 1013.30035 Constales, D.; Kraußhar, R. S. 9 2002 Representation formulas for the general derivatives of the fundamental solution to the Cauchy-Riemann operator in Clifford analysis and applications. Zbl 1018.30037 Constales, D.; Kraußhar, R. S. 8 2002 Eisenstein series in Clifford analysis. Zbl 0981.30033 Kraußhar, Rolf Sören 7 2000 Szegö and polymonogenic Bergman kernels for half-space and strip domains, and single-periodic functions in Clifford analysis. Zbl 1052.32006 Constales, D.; Krausshar, R. S. 7 2002 \(k\)-hypermonogenic automorphic forms. Zbl 1215.11042 Constales, D.; Kraußhar, R. S.; Ryan, John 7 2007 Symmetries of slice monogenic functions. Zbl 1468.30083 Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene 7 2020 The Schrödinger equation on cylinders and the \(n\)-torus. Zbl 1253.30067 Kraußhar, R. S.; Vieira, N. 7 2011 A higher dimensional fractional Borel-Pompeiu formula and a related hypercomplex fractional operator calculus. Zbl 1416.35292 Ferreira, Milton; Kraußhar, R. Sören; Rodrigues, M. Manuela; Vieira, Nelson 7 2019 Basics on growth orders of polymonogenic functions. Zbl 1341.30043 De Almeida, R.; Kraußhar, R. S. 6 2015 Applications of the maximum term and the central index in the asymptotic growth analysis of entire solutions to higher dimensional polynomial Cauchy-Riemann equations. Zbl 1134.30040 Constales, Denis; de Almeida, Regina; Kraußhar, Rolf Sören 6 2008 Differential topological aspects in octonionic monogenic function theory. Zbl 1455.30041 Kraußhar, Rolf Sören 6 2020 Reproducing kernel functions of solutions to polynomial Dirac equations in the annulus of the unit ball in \(\mathbb R^n\) and applications to boundary value problems. Zbl 1167.35326 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 5 2009 Order theory for isolated points of monogenic functions. Zbl 1043.30031 Hempfling, T.; Krausshar, R. S. 5 2003 On the Navier-Stokes equations with free convection in three-dimensional unbounded triangular channels. Zbl 1132.35431 Constales, D.; Kraußhar, R. S. 5 2008 Fock spaces, Landau operators and the time-harmonic Maxwell equations. Zbl 1213.81218 Constales, Denis; Faustino, Nelson; Kraußhar, Rolf Sören 5 2011 Multi-periodic eigensolutions to the Dirac operator and applications to the generalized Helmholtz equation on flat cylinders and on the \(n\)-torus. Zbl 1200.30041 Constales, Denis; Kraußhar, Rolf Sören 5 2009 Octonionic Kerzman-Stein operators. Zbl 1498.30026 Constales, Denis; Kraußhar, Rolf Sören 5 2021 Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series. Zbl 1052.30052 Krausshar, R. S. 4 2001 Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in \(\mathbb R^n\) arising from speial arithmetic groups of the Vahlen group. Zbl 1084.30056 Kraußhar, R. S.; Qiao, Yuying; Ryan, John 4 2005 Function theories in Cayley-Dickson algebras and number theory. Zbl 1479.30039 Kraußhar, Rolf Sören 4 2021 Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension. Zbl 1441.30075 Kraußhar, Rolf Sören 4 2020 On the incompressible viscous stationary MHD equations and explicit solution formulas for some three-dimensional radially symmetric domains. Zbl 1222.76111 Kraußhar, Rolf Sören 4 2011 The Bergman kernels for the half-ball and for fractional wedge-shaped domains in Clifford analysis. Zbl 1088.30050 Constales, Denis; Kraußhar, Rolf Sören 4 2005 A new class of hypercomplex analytic cusp forms. Zbl 1291.11081 Constales, D.; Grob, D.; Kraußhar, R. S. 4 2013 Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients. Zbl 1302.30067 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 4 2014 On a new type of Eisenstein series in Clifford analysis. Zbl 1009.30028 Kraußhar, R. S. 3 2001 Automorphic forms in Clifford analysis. Zbl 1052.30053 Krausshar, Rolf Sören 3 2002 Dirac and Laplace operators on some non-orientable conformally flat orbifolds. Zbl 1316.58028 Kraußhar, Rolf Sören 3 2015 On the diffusion equation and diffusion wavelets on flat cylinders and the \(n\)-torus. Zbl 1215.35082 Bernstein, Swanhild; Ebert, Svend; Kraußhar, Rolf Sören 3 2011 Bergman spaces of higher-dimensional hyperbolic polyhedron-type domains. I. Zbl 1090.30042 Constales, D.; Kraußhar, R. S. 3 2006 On the Klein-Gordon equation on some examples of conformally flat spin 3-manifolds. Zbl 1223.35281 Kraußhar, Rolf Sören 3 2011 The Schrödinger semigroup on some flat and non flat manifolds. Zbl 1285.30030 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 3 2014 Poincaré series in Clifford analysis. Zbl 1071.30048 Krausshar, Rolf Sören 3 2004 Generalized analytic automorphic forms for some arithmetic congruence subgroups of the Vahlen group on the \(n\)-dimensional hyperbolic space. Zbl 1064.11033 Kraußhar, Rolf Sören 3 2004 On the role of arbitrary order Bessel functions in higher dimensional Dirac type equations. Zbl 1108.30038 Cação, Isabel; Constales, Denis; Krausshar, Rolf Sören 3 2006 A Selberg trace formula for hypercomplex analytic cusp forms. Zbl 1380.11074 Grob, D.; Kraußhar, R. S. 3 2015 Further results on the asymptotic growth of entire solutions of iterated Dirac equations in \(\mathbb R^{n}\). Zbl 1156.35326 Constales, D.; De Almeida, R.; Kraußhar, R. S. 3 2006 Some applications of parabolic Dirac operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in \(\mathbb {R}^3\). Zbl 1405.35135 Cerejeiras, P.; Kähler, U.; Kraußhar, R. S. 3 2018 On rotationally symmetric Dirac equations and hypergeometric functions. I. Zbl 1176.30099 Cação, Isabel; Constales, Denis; Krausshar, Rolf Sören 2 2008 The multiplication of the Clifford-analytic Eisenstein series. Zbl 1044.11046 Kraußhar, Rolf Sören 2 2003 Einstein series in complexified Clifford analysis. Zbl 1045.30027 Kraußhar, Rolf Sören 2 2002 Closed formulas for singly-periodic monogenic cotangent, cosecant amd cosecant-squared functions in Clifford analysis. Zbl 1055.30047 Constales, D.; Kraußhar, R. S. 2 2003 Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds. Zbl 1442.35325 Cerejeiras, Paula; Kähler, Uwe; Kraußhar, R. Sören 2 2019 Generalized growth orders for polymonogenic functions and related inequalities. Zbl 1406.30017 De Almeida, R.; Kraußhar, R. S. 2 2016 Explicit formulas for the Green’s function and the Bergman kernel for monogenic functions in annular shaped domains in \(\mathbb{R}^{n+1}\). Zbl 1206.30068 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 2 2010 Basics of a generalized Wiman-Valiron theory for monogenic Taylor series of finite convergence radius. Zbl 1208.30044 Constales, D.; De Almeida, R.; Kraußhar, R. S. 2 2010 On Dirichlet type problems of polynomial Dirac equations with boundary conditions. Zbl 1273.30039 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 2 2013 Hodge-type decomposition for time-dependent first-order parabolic operators with non-constant coefficients: the variable exponent case. Zbl 1302.30066 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 2 2014 Multiplicative invariant lattices in \(\mathbb{R}^n\) obtained by twisting of group algebras and some explicit characterizations. Zbl 1193.16021 Albuquerque, Helena; Kraußhar, Rolf Sören 2 2008 Recent and new results on octonionic Bergman and Szegö kernels. Zbl 07869448 Kraußhar, Rolf Sören 2 2024 A quaternionic approach to treat the ideally stationary magnetohydrodynamic equations. Zbl 1350.76055 Gürlebeck, K.; Kraußhar, R. S.; Poedts, S. 2 2009 On generalized Helmholtz type equations in concentric annular domains in \(\mathbb R^3\). Zbl 1189.30090 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 1 2010 Growth orders of monogenic functions in the ball. Zbl 1152.30317 Constales, D.; de Almeida, R.; Kraußhar, R. S. 1 2007 Time-dependent operators on some non-orientable projective orbifolds. Zbl 1338.30045 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 1 2015 A theory of modular forms in Clifford analysis, their applications and perspectives. Zbl 1060.11020 Kraußhar, Rolf Sören 1 2004 Explicit representations of the regular solutions to the time-harmonic Maxwell equations combined with the radial symmetric Euler operator. Zbl 1152.35503 Cação, Isabel; Constales, Denis; Kraußhar, Rolf Sören 1 2009 Monogenic modular forms in two and several real and complex vector variables. Zbl 1059.30044 Kraußhar, Rolf Sören 1 2002 Eigenvalue problems for slice functions. Zbl 1509.30036 Kraußhar, Rolf Sören; Perotti, Alessandro 1 2022 On the generating functions and special functions associated with superoscillations. Zbl 1531.81086 Colombo, F.; Krausshar, R. S.; Sabadini, I.; Simsek, Y. 1 2023 The Fourier expansion of the hypermonogenic generalized trigonometric and elliptic functions. Zbl 1276.11061 Constales, D.; De Almeida, R.; Kraußhar, Rolf Sören 1 2013 Applications of the quaternionic calculus to the convective stationary MHD equations in \({\mathbb{R}^3}\). Zbl 1310.76181 Kraußhar, Rolf Sören 1 2014 Recent and new results on octonionic Bergman and Szegö kernels. Zbl 07869448 Kraußhar, Rolf Sören 2 2024 On the generating functions and special functions associated with superoscillations. Zbl 1531.81086 Colombo, F.; Krausshar, R. S.; Sabadini, I.; Simsek, Y. 1 2023 Eigenvalue problems for slice functions. Zbl 1509.30036 Kraußhar, Rolf Sören; Perotti, Alessandro 1 2022 Octonionic Kerzman-Stein operators. Zbl 1498.30026 Constales, Denis; Kraußhar, Rolf Sören 5 2021 Function theories in Cayley-Dickson algebras and number theory. Zbl 1479.30039 Kraußhar, Rolf Sören 4 2021 Symmetries of slice monogenic functions. Zbl 1468.30083 Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene 7 2020 Differential topological aspects in octonionic monogenic function theory. Zbl 1455.30041 Kraußhar, Rolf Sören 6 2020 Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension. Zbl 1441.30075 Kraußhar, Rolf Sören 4 2020 On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms. Zbl 1479.30034 Diki, Kamal; Krausshar, Rolf Sören; Sabadini, Irene 15 2019 A higher dimensional fractional Borel-Pompeiu formula and a related hypercomplex fractional operator calculus. Zbl 1416.35292 Ferreira, Milton; Kraußhar, R. Sören; Rodrigues, M. Manuela; Vieira, Nelson 7 2019 Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds. Zbl 1442.35325 Cerejeiras, Paula; Kähler, Uwe; Kraußhar, R. Sören 2 2019 Some applications of parabolic Dirac operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in \(\mathbb {R}^3\). Zbl 1405.35135 Cerejeiras, P.; Kähler, U.; Kraußhar, R. S. 3 2018 Generalized growth orders for polymonogenic functions and related inequalities. Zbl 1406.30017 De Almeida, R.; Kraußhar, R. S. 2 2016 Basics on growth orders of polymonogenic functions. Zbl 1341.30043 De Almeida, R.; Kraußhar, R. S. 6 2015 Dirac and Laplace operators on some non-orientable conformally flat orbifolds. Zbl 1316.58028 Kraußhar, Rolf Sören 3 2015 A Selberg trace formula for hypercomplex analytic cusp forms. Zbl 1380.11074 Grob, D.; Kraußhar, R. S. 3 2015 Time-dependent operators on some non-orientable projective orbifolds. Zbl 1338.30045 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 1 2015 Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients. Zbl 1302.30067 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 4 2014 The Schrödinger semigroup on some flat and non flat manifolds. Zbl 1285.30030 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 3 2014 Hodge-type decomposition for time-dependent first-order parabolic operators with non-constant coefficients: the variable exponent case. Zbl 1302.30066 Kraußhar, R. S.; Rodrigues, M. M.; Vieira, N. 2 2014 Applications of the quaternionic calculus to the convective stationary MHD equations in \({\mathbb{R}^3}\). Zbl 1310.76181 Kraußhar, Rolf Sören 1 2014 A new class of hypercomplex analytic cusp forms. Zbl 1291.11081 Constales, D.; Grob, D.; Kraußhar, R. S. 4 2013 On Dirichlet type problems of polynomial Dirac equations with boundary conditions. Zbl 1273.30039 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 2 2013 The Fourier expansion of the hypermonogenic generalized trigonometric and elliptic functions. Zbl 1276.11061 Constales, D.; De Almeida, R.; Kraußhar, Rolf Sören 1 2013 The Schrödinger equation on cylinders and the \(n\)-torus. Zbl 1253.30067 Kraußhar, R. S.; Vieira, N. 7 2011 Fock spaces, Landau operators and the time-harmonic Maxwell equations. Zbl 1213.81218 Constales, Denis; Faustino, Nelson; Kraußhar, Rolf Sören 5 2011 On the incompressible viscous stationary MHD equations and explicit solution formulas for some three-dimensional radially symmetric domains. Zbl 1222.76111 Kraußhar, Rolf Sören 4 2011 On the diffusion equation and diffusion wavelets on flat cylinders and the \(n\)-torus. Zbl 1215.35082 Bernstein, Swanhild; Ebert, Svend; Kraußhar, Rolf Sören 3 2011 On the Klein-Gordon equation on some examples of conformally flat spin 3-manifolds. Zbl 1223.35281 Kraußhar, Rolf Sören 3 2011 Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups. Zbl 1204.58029 Bulla, E.; Constales, D.; Kraußhar, R. S.; Ryan, John 9 2010 Explicit formulas for the Green’s function and the Bergman kernel for monogenic functions in annular shaped domains in \(\mathbb{R}^{n+1}\). Zbl 1206.30068 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 2 2010 Basics of a generalized Wiman-Valiron theory for monogenic Taylor series of finite convergence radius. Zbl 1208.30044 Constales, D.; De Almeida, R.; Kraußhar, R. S. 2 2010 On generalized Helmholtz type equations in concentric annular domains in \(\mathbb R^3\). Zbl 1189.30090 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 1 2010 Reproducing kernel functions of solutions to polynomial Dirac equations in the annulus of the unit ball in \(\mathbb R^n\) and applications to boundary value problems. Zbl 1167.35326 Constales, Denis; Grob, Dennis; Kraußhar, Rolf Sören 5 2009 Multi-periodic eigensolutions to the Dirac operator and applications to the generalized Helmholtz equation on flat cylinders and on the \(n\)-torus. Zbl 1200.30041 Constales, Denis; Kraußhar, Rolf Sören 5 2009 A quaternionic approach to treat the ideally stationary magnetohydrodynamic equations. Zbl 1350.76055 Gürlebeck, K.; Kraußhar, R. S.; Poedts, S. 2 2009 Explicit representations of the regular solutions to the time-harmonic Maxwell equations combined with the radial symmetric Euler operator. Zbl 1152.35503 Cação, Isabel; Constales, Denis; Kraußhar, Rolf Sören 1 2009 Applications of the maximum term and the central index in the asymptotic growth analysis of entire solutions to higher dimensional polynomial Cauchy-Riemann equations. Zbl 1134.30040 Constales, Denis; de Almeida, Regina; Kraußhar, Rolf Sören 6 2008 On the Navier-Stokes equations with free convection in three-dimensional unbounded triangular channels. Zbl 1132.35431 Constales, D.; Kraußhar, R. S. 5 2008 On rotationally symmetric Dirac equations and hypergeometric functions. I. Zbl 1176.30099 Cação, Isabel; Constales, Denis; Krausshar, Rolf Sören 2 2008 Multiplicative invariant lattices in \(\mathbb{R}^n\) obtained by twisting of group algebras and some explicit characterizations. Zbl 1193.16021 Albuquerque, Helena; Kraußhar, Rolf Sören 2 2008 On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy–Riemann system in \(\mathbb R^{n+1}\). Zbl 1108.30041 Constales, D.; De Almeida, R.; Kraußhar, R. S. 22 2007 Some conformally flat spin manifolds, Dirac operators and automorphic forms. Zbl 1107.30037 Kraußhar, R. S.; Ryan, John 21 2007 On the growth type of entire monogenic functions. Zbl 1109.30040 Constales, D.; De Almeida, R.; Krausshar, R. S. 17 2007 \(k\)-hypermonogenic automorphic forms. Zbl 1215.11042 Constales, D.; Kraußhar, R. S.; Ryan, John 7 2007 Growth orders of monogenic functions in the ball. Zbl 1152.30317 Constales, D.; de Almeida, R.; Kraußhar, R. S. 1 2007 On Cauchy estimates and growth orders of entire solutions of iterated Dirac and generalized Cauchy-Riemann equations. Zbl 1108.35011 Constales, D.; De Almeida, R.; Kraußhar, R. S. 16 2006 On the asymptotic growth of entire monogenic functions. Zbl 1095.30044 de Almeida, Regina; Kraußhar, R. S. 16 2006 Bergman spaces of higher-dimensional hyperbolic polyhedron-type domains. I. Zbl 1090.30042 Constales, D.; Kraußhar, R. S. 3 2006 On the role of arbitrary order Bessel functions in higher dimensional Dirac type equations. Zbl 1108.30038 Cação, Isabel; Constales, Denis; Krausshar, Rolf Sören 3 2006 Further results on the asymptotic growth of entire solutions of iterated Dirac equations in \(\mathbb R^{n}\). Zbl 1156.35326 Constales, D.; De Almeida, R.; Kraußhar, R. S. 3 2006 Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains. Zbl 1096.30041 Constales, D.; Kraußhar, R. S. 15 2005 Clifford and harmonic analysis on cylinders and tori. Zbl 1079.30067 Kraußhar, Rolf Sören; Ryan, John 13 2005 Harmonic, monogenic and hypermonogenic functions on some conformally flat manifolds in \(\mathbb R^n\) arising from speial arithmetic groups of the Vahlen group. Zbl 1084.30056 Kraußhar, R. S.; Qiao, Yuying; Ryan, John 4 2005 The Bergman kernels for the half-ball and for fractional wedge-shaped domains in Clifford analysis. Zbl 1088.30050 Constales, Denis; Kraußhar, Rolf Sören 4 2005 Generalized analytic automorphic forms in hypercomplex spaces. Zbl 1058.30046 Kraußhar, Rolf Sören 28 2004 Poincaré series in Clifford analysis. Zbl 1071.30048 Krausshar, Rolf Sören 3 2004 Generalized analytic automorphic forms for some arithmetic congruence subgroups of the Vahlen group on the \(n\)-dimensional hyperbolic space. Zbl 1064.11033 Kraußhar, Rolf Sören 3 2004 A theory of modular forms in Clifford analysis, their applications and perspectives. Zbl 1060.11020 Kraußhar, Rolf Sören 1 2004 Order theory for isolated points of monogenic functions. Zbl 1043.30031 Hempfling, T.; Krausshar, R. S. 5 2003 The multiplication of the Clifford-analytic Eisenstein series. Zbl 1044.11046 Kraußhar, Rolf Sören 2 2003 Closed formulas for singly-periodic monogenic cotangent, cosecant amd cosecant-squared functions in Clifford analysis. Zbl 1055.30047 Constales, D.; Kraußhar, R. S. 2 2003 Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis. Zbl 1013.30035 Constales, D.; Kraußhar, R. S. 9 2002 Representation formulas for the general derivatives of the fundamental solution to the Cauchy-Riemann operator in Clifford analysis and applications. Zbl 1018.30037 Constales, D.; Kraußhar, R. S. 8 2002 Szegö and polymonogenic Bergman kernels for half-space and strip domains, and single-periodic functions in Clifford analysis. Zbl 1052.32006 Constales, D.; Krausshar, R. S. 7 2002 Automorphic forms in Clifford analysis. Zbl 1052.30053 Krausshar, Rolf Sören 3 2002 Einstein series in complexified Clifford analysis. Zbl 1045.30027 Kraußhar, Rolf Sören 2 2002 Monogenic modular forms in two and several real and complex vector variables. Zbl 1059.30044 Kraußhar, Rolf Sören 1 2002 Differentiability of functions with values in some real associative algebras: approaches to an old problem. Zbl 1052.30049 Delanghe, R.; Kraußhar, R. S.; Malonek, H. R. 13 2001 Monogenic multiperiodic functions in Clifford analysis. Zbl 1055.30048 Krausshar, Rolf Sören 10 2001 A characterization of conformal mappings in \(\mathbb{R}^4\) by a formal differentiability condition. Zbl 1004.30032 Kraußhar, Rolf Sören; Malonek, Helmuth Robert 9 2001 Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series. Zbl 1052.30052 Krausshar, R. S. 4 2001 On a new type of Eisenstein series in Clifford analysis. Zbl 1009.30028 Kraußhar, R. S. 3 2001 Eisenstein series in Clifford analysis. Zbl 0981.30033 Kraußhar, Rolf Sören 7 2000 all cited Publications top 5 cited Publications all top 5 Cited by 149 Authors 61 Kraußhar, Rolf Sören 23 Constales, Denis 18 Sabadini, Irene 14 Colombo, Fabrizio 14 Vieira, Nelson 11 Diki, Kamal 10 de Almeida, Regina 10 De Martino, Antonino 10 Rodrigues, Maria Manuela 9 Kähler, Uwe 8 González-Cervantes, José Óscar 8 Ku, Min 8 Ryan, John 7 Grob, Dennis 7 Pinton, Stefano 6 Alpay, Daniel Aron 6 Ferreira, Milton 5 Bory Reyes, Juan 5 Cerejeiras, Paula 5 Gürlebeck, Klaus 5 Kumar, Susheel 5 Morais, João Pedro 5 Santiesteban, Daniel Alfonso 4 Abreu-Blaya, Ricardo 4 Ludkovsky, Sergey Victor 3 Adán, Alí Guzmán 3 De Bie, Hendrik 3 Faustino, Nelson José Rodrigues 3 Fernández Guasti, Manuel 3 Gu, Longfei 3 Hassan, Gamal F. 3 Legatiuk, Dmitrii 3 Perotti, Alessandro 3 Qian, Tao 3 Wang, Daoshun 3 Zhang, Zhongxiang 2 Abul-ez, M. A. 2 Aloui, Lassaad 2 Árciga Alejandre, Martín Patricio 2 Bernstein, Swanhild 2 Bock, Sebastian 2 Cação, Isabel 2 Du, Jinyuan 2 Falcão, Maria Irene 2 Kimsey, David Patrick 2 Luzzini, Paolo 2 Malonek, Helmuth Robert 2 Porter, R. Michael 2 Qiao, Yuying 2 Struppa, Daniele Carlo 2 Yuan, Hongfen 2 Zayed, Mohra 1 Abd-Elmageed, Hala 1 Abdalla, Mohamed 1 Abul-Ez, Mahmoud 1 Albuquerque, Helena 1 Alpay, Natanael 1 Álvarez-Peña, Cynthia 1 Ashtab, Z. 1 Bala, Kirandeep 1 Bambozzi, Federico 1 Bao, Sijia 1 Berglez, Peter 1 Bian, Xiaoli 1 Biswas, Chinmay 1 Biswas, Tanmay 1 Bu, Yude 1 Bulla, E. 1 Chai, Xiaoke 1 Chen, Qiuhui 1 Cheng, Wanqing 1 Cho, Gunhee 1 Dalla Riva, Matteo 1 Darani, Mohammadreza Ahmadi 1 Delanghe, Richard 1 Delgado, Briceyda B. 1 Dijkgraaf, Robbert H. 1 Ding, Chao 1 Dinh, Doan Cong 1 Dong, Lin 1 Ebert, Svend 1 Eelbode, David 1 Eriksson, Sirkka-Liisa 1 Fu, Yingxiong 1 Ghiloni, Riccardo 1 Golberg, Anatoly 1 Grigor’ev, Yuri M. 1 Guillén-Villalobos, Aarón 1 He, Fuli 1 Heidenreich, Ben 1 Hidan, Muajebah 1 Hong, Hong-Ki 1 Huang, Song 1 Jefferson, Patrick 1 Kansu, Mustafa Emre 1 Karaca, Yeliz 1 Legatiuk, Anastasiia 1 Li, Junxia 1 Li, Wenxin 1 Li, Yong ...and 49 more Authors all top 5 Cited in 66 Serials 34 Mathematical Methods in the Applied Sciences 16 Advances in Applied Clifford Algebras 14 Complex Analysis and Operator Theory 13 Journal of Mathematical Analysis and Applications 8 Results in Mathematics 7 Computational Methods and Function Theory 7 Complex Variables and Elliptic Equations 4 The Journal of Geometric Analysis 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Journal of Number Theory 3 Zeitschrift für Analysis und ihre Anwendungen 3 Fractals 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Mediterranean Journal of Mathematics 2 Analysis and Mathematical Physics 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 The Journal of the Indian Mathematical Society. New Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 Applied Mathematical Modelling 1 Integral Transforms and Special Functions 1 Engineering Analysis with Boundary Elements 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Fractional Calculus & Applied Analysis 1 Journal of High Energy Physics 1 Revista de Matemática: Teoría y Aplicaciones 1 Journal of Evolution Equations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Boundary Value Problems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Operators and Matrices 1 Axioms 1 Journal of Complex Analysis 1 Journal of Function Spaces 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 37 Fields 153 Functions of a complex variable (30-XX) 41 Partial differential equations (35-XX) 22 Operator theory (47-XX) 18 Several complex variables and analytic spaces (32-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Number theory (11-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Differential geometry (53-XX) 10 Potential theory (31-XX) 8 Quantum theory (81-XX) 7 Nonassociative rings and algebras (17-XX) 6 Real functions (26-XX) 6 Special functions (33-XX) 6 Functional analysis (46-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Fluid mechanics (76-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year