Kapitel in Büchern

2018

S. Bock: On a hypercomplex version of the Kelvin solution in linear elasticity,  In P. Drygás & S. Rogosin (Eds.) Modern Problems in Applied Analysis, Trends in Mathematics, Birkhäuser Basel, 2018.

2015

K. Gürlebeck and W. Sprössig, Quaternionic Analysis: Application to Boundary Value Problems, in: D. Alpay (ed.) Operator Theory, Online ISBN 978-3-0348-0692-3, DOI 10.1007/978-3-0348-0692-3, Springer Basel (2015)

2014

K. Gürlebeck and W. Sprössig, Clifford Analysis and Harmonic Polynomials, in: W. Freeden, M. Zuhair Nashed, T. Sonar (Eds.), Handbook of Geomathematics, pp. 1 - 39, 2014, Online ISBN 978-3-642-27793-1, DOI 10.1007/978-3-642-27793-1_49-2, Springer Berline Heidelberg

K. Gürlebeck, D. Legatiuk, On the continuous coupling of finite elements with holomorphic basis functions, Hypercomplex Analysis: New Perspectives  and Applications, Trends in Mathematics, Springer Basel 2014, pp 167-180


Klaus Gürlebeck and Hung Manh Nguyen, On ψ-hyperholomorphic Functions and a Decomposition of Harmonics, Noncommutative Analysis, Operator Theory and Applications, Trends in Mathematics, 181–189, 2014 Springer International Publishing


2012
Bock, S.; Gürlebeck, K.; Legatiuk, D.: On the continuous coupling between analytical and finite element solutions, in "Interactions between real and complex analysis", Le Hung Son and Wolfgang Tutschke (eds.), Science and Technics Publishing House, Hanoi 2012, ISBN: 978-604-67-0032-6, pp. 3-19


2011
Gürlebeck, K. and Xinhua Ji, Lotka-Volterra System with Volterra Multiplier, in: Hamid R. Arabnia and Quoc-Nam Tram (ed.), Software Tools and Algorithms for Biological Systems, Springer New York Dordrecht Heidelberg London 2011, 647—655


K. Gürlebeck, J. Morais: On orthonormal polynomial solutions of the Riesz system in R^3, Recent advances in computational and applied mathematics, Dordrecht: Springer. 143-158 (2011)


2010
K. Gürlebeck and W. Sprößig, Fluid flow problems with quaternionic analysis – an alternative  conception, Bayro-Corrochano, Eduardo (ed.)   et al., Geometric algebra computing in engineering and computer  science. London: Springer. 345-381 (2010). ISBN 978-1-84996-107- 3/hbk; ISBN 978-1-84882-914-5/ebook


K. Gürlebeck and J. Morais, Geometric characterization of M-conformal mappings, Bayro-Corrochano, Eduardo (ed.) et al., Geometric algebra computing in engineering and computer science. London: Springer. 327-343 (2010). ISBN 978-1-84996-107-3/hbk; ISBN 978-1-84882-9145/ebook


2008
K. Gürlebeck and Tran Quoc Viet: On some complete systems of monogenic rational functions, in: Le Hung Son, Wolfgang Tutschke (Eds.) Function Spaces in Complex and Clifford Analysis, Nat. Univ. Publ. Hanoi 2008, p. 156-169


2007
Y. Makino, C. Hadlich, K. Gürlebeck, A. Kimura and O. Suzuki: Iteration Dynamical Systems of Discrete Laplacians on the Plane Lattice, in: A. Kameyame and H. Kokubu (Eds.), Recent Developments in Dynamical Systems, RIMS Kokyuroku 1552, Kyoto 2007, p.107-115


2006
I. Cacao, K. Gürlebeck, and S. Bock: Complete Orthonormal Systems of Spherical Monogenics - A Constructive Approach, in: Le H. S., W. Tutschke, S. Jain (Eds.), Methods of Complex and Clifford Analysis, SAS International Publications, Delhi, India, ISBN: 81-88296-01-5, 255—274, 2006


R. Illge, V. Wünsch: Relativistic Wave Equations Including Higher Spin Fields. In: Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G.L. Naber and Tsou S.T.; Oxford: Elsevier, 2006, volume 4, page 391-398


2004
K. Gürlebeck and A. El-Sayed Ahmed: On Series Expansions of Hyperholomorphic Functions, Trends in Mathematics: Advances in Algebra and Geometry, 113--129, Birkhäuser Verlag Basel, 2004

K. Gürlebeck and W. Sprößig: Galpern-Sobolev Type Equations with Non-constant Coefficients, Trends in Mathematics: Advances in Algebra and Geometry, 301--310, Birkhäuser Verlag Basel, 2004

2003
K. Gürlebeck, A. Hommel: On Discrete Stokes and Navier-Stokes Equations in the Plane, CLIFFORD ALGEBRAS: Application to Mathematics, Physics, and Engineering", Rafal Ablamowicz, Ed., Progress in Mathematical Physics, Birkhäuser, Boston, 2003; pp. 35—58

K.Gürlebeck and A. El-Sayed, On B^q spaces of hyperholomorphic functions and the Bloch space in R^3, Finite or Infinite Dimensional Complex Analysis and Applications, Le Hung Son (Ed.), W. Tutschke (Ed.), C.-C. Yang (Ed.), ADVANCES IN COMPLEX ANALYSIS AND ITS APPLICATIONS – 2, ISBN: 1-4020-7658-4, 2003, 395 pp.


2001
K. Gürlebeck: On weighted spaces of monogenic quaternion-valued functions, in F. Brackx et. al. (eds.), Clifford Analysis and Its Applications, Kluwer Acad. Publ. (2001), 81—89


1999
W. Sprößig, K. Gürlebeck, Methods of Quaternionic Analysis for the Treatment of Non-Linear Boundary Value Problems, in: T.M.Rassias (ed.), Mathematical Analysis and Applications, Hadronic Press, Inc., Florida, USA, 1999

1998
K. Gürlebeck: On some classes of Pi-operators, in Dirac operators in analysis, (eds. J. Ryan and D. Struppa), Pitman Research Notes in Mathematics, No 394, 1998

K. Gürlebeck: Some applications of the biharmonic equation, in: Fundamental Theories of Physics, Vol. 94, Ed. V. Dietrich, K. Habetha, and G. Jank: Clifford Algebras and their Applications in Mathematical Physics, Kluwer Acad. Publ., 1998, pp. 109—128


1996
W. Sprößig, K. Gürlebeck, On the treatment of fluid problems by Methods of Clifford Analysis In: Deville, Gavrilakis, Ryhming: Computation Three-Dimensional Complex Flows, Notes on Numerical Fluid Mechanics, Vol 53, Vieweg &Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden (1996), 304-310


1995
K. Gürlebeck and W. Sprößig: Clifford Analysis and Elliptic Boundary Value Problems, in: R.Ablamowicz and P.Lounesto (eds.): Clifford Algebras and Spinor Structures, Kluwer Acad. Publ. (1995), 325—334

1993
K. Gürlebeck : Quaternionic Analysis and Transmission Problems, in: F. BRACKX, R. DELANGHE and H. SERRAS: Clifford Algebras and their Applications in Mathematical Physics, Fundamental Theories of Physics, Vol. 55, Kluwer Acad. Publ. 1993, pp. 101-108

1992
K. Gürlebeck , W. Sprößig : On Eigenvalue Estimates of Nonlinear Stokes Eigenvalue Problem, in: A.MICALI: Clifford Algebras and their Applications in Mathematical Physics, Fundamental Theories of Physics, Vol. 47, Kluwer Acad. Publ. 1992, pp. 327-333


K. Gürlebeck and W. Sprößig: Application of Quaternionic Analysis on Generalized Non-linear Stokes Eigenvalue Problems, in: H.Begehr, A.Jeffrey: Partial Differential Equations With Complex Analysis; Pitman Research Notes 262, Longman 1992, 52-60


1991
K. Gürlebeck : Lower and upper bounds for the first eigenvalue of the Lame' system, in: R.Kühnau and W.Tutschke: Boundary value and initial value problems in complex analysis: Studies in complex analysis and its applications to partial differential equations 1, Pitman Research Notes in Math. Series 256, Longman Publ. 1991, 184-193