E. Hitzer: Online preprints (2010-2012), video lectures and mathematical reviews


I have updated my homepage with new preprints (see list below), video presentations, and mathematical reviews.

2012

R. Bujack, G. Scheuermann, E. Hitzer
A General Geometric Fourier Transform Convolution Theorem
submitted to Adv. Appl. Clifford Alg., (2012).

E. Hitzer
Introduction to Clifford’s Geometric Algebra
accepted for SICE Journal of Control, Measurement, and System Integration, April 2012, (2012).

Y. Kuroe, T. Nitta, E. Hitzer
Applications of Clifford’s Geometric Algebra
accepted for SICE Journal of Control, Measurement, and System Integration, April 2012, (2012) [English draft, final version = Japanese].

E. Hitzer
Algebraic foundations of split hypercomplex nonlinear adaptive filtering
submitted to Math. Methods in the Applied Sciences, (2012).

2011

E. Hitzer
Non-constant bounded holomorphic functions of hyperbolic numbers – Candidates for hyperbolic activation functions
in Y. Kuroe, T. Nitta (eds.), Proceedings of The First SICE Symposium on Computational Intelligence [Concentrating on Clifford Neural Computing], 30 Sep. 2011, KIT, Kyoto, Japan, catalogue no. 11PG0009, pp. 23 – 28, 2011.

E. Hitzer
OPS-QFTs: A new type of quaternion Fourier transforms based on the orthogonal planes split with one or two general pure quaternions
Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conf. Proc. 1389, pp. 280–283 (2011), doi: 10.1063/1.3636721

R. Bujack, G. Scheuermann, E. Hitzer
A General Geometric Fourier Transform
In K. Guerlebeck (ed.), Electronic Proceedings of The 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICCA9), 15-10 July 2011, Weimar, Germany, (2011).

E. Hitzer, S. J. Sangwine
The orthogonal planes split of quaternions
In K. Guerlebeck (ed.), Electronic Proceedings of The 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICCA9), 15-10 July 2011, Weimar, Germany, (2011).

E. Hitzer, J. Helmstetter, R. Ablamowicz
Square roots of -1 in real Clifford algebras
In K. Guerlebeck (ed.), Electronic Proceedings of The 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICCA9), 15-10 July 2011, Weimar, Germany, (2011).

E. Hitzer
Crystal planes and reciprocal space in Clifford geometric algebra
Math. Methods in the Applied Sciences, Vol. 34, Iss. 12, pp. 1421-1429, August 2011, Article first published online: 15 Feb. 2011, (2011), DOI: 10.1002/mma.1442.

E.S.M. Hitzer, R. Ablamowicz
Geometric Roots of -1 in Clifford Algebras Cl(p,q) with p+q <= 4
Adv. In Appl. Cliff. Algebras, Vol. 21(1) pp. 121-144, (2011), DOI 10.1007/s00006-010-0240-x. Preprint version: Technical Report 2009-3, Department of Mathematics, Tennessee Technological University, Tennessee, USA, May 2009. Also available as: arXiv:0905.3019v1 [math.RA]

2010

E. Hitzer
Interactive Visualization of Plane Space Groups with the Space Group Visualizer
preprint, 36 pp. (2010), with 32 color figures.

E. Hitzer
Angles Between Subspaces Computed in Clifford Algebra
in T. E. Simos et al. (eds.), ICNAAM 2010: Int. Conf. of Num. Analysis and App. Math. 2010, AIP Conf. Proc., Vol. 1281, pp. 1476-1479, (2010).

E. Hitzer
Interactive visualization of plane groups
in G. Lugosi, D. Nagy (eds.), Symmetry: Art and Science, Spec. Iss. of The Journal of the Int. Soc. For the Interdisc. Study of Symmetry (ISIS): Proc. of Symmetry: Art and Science, 8th Congress of ISIS, Days of Harmonics, Gmund, Austria, 23-28 Aug. 2010, Vol. 2010 (1-4), pp. 80-83, (2010).

E. Hitzer
Angles between subspaces
in V. Skala, E.Hitzer (eds.), Workshop Proceedings: Computer Graphics, Computer Vision and Mathematics 2010, Sep. 07-10, 2010, Brno University of Technology, Brno, Czech Republic, published by UNION Agency, Plzen (2010), ISBN 978-80-86943-85-5.

E. Hitzer
Reciprocal space and crystal planes in geometric algebra
in Electronic Proceedings of AGACSE 2010, Amsterdam, The Netherlands, 14-16 June 2010.

K. Tachibana, E. Hitzer, M. T. Pham, T. Yoshikawa, T. Furuhashi
A Note on Geometric Algebra and Neural Networks
Proc. of 20th Intelligent Systems Symposium (FAN 2010), 25-26 Sep. 2010, Tokyo, Japan, pp. 116 – 117 (2010).

E.S.M. Hitzer, C. Perwass, D. Ichikawa
Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra
in G. Scheuermann, E. Bayro-Corrochano (eds.), Geometric Algebra Computing, Springer, New York, 2010, pp. 385-400.

B. Mawardi, E.S.M. Hitzer, S. Adji
Two-Dimensional Clifford Windowed Fourier Transform
in G. Scheuermann, E. Bayro-Corrochano (eds.), Geometric Algebra Computing, Springer, New York, 2010, pp. 93-106.

M. T. Pham, K. Tachibana, E.S.M. Hitzer, T. Yoshikawa, T. Furuhashi
Classification and Clustering of Spatial Patterns with Geometric Algebra
in G. Scheuermann, E. Bayro-Corrochano (eds.), Geometric Algebra Computing, Springer, New York, 2010, pp. 231-248.

B. Mawardi, E.S.M. Hitzer, R. Ashino, R. Vaillancourt
Windowed Fourier transform of two-dimensional quaternionic signals
Appl. Math. and Computation, 216, Iss. 8, pp. 2366-2379, 15 June 2010.

E.S.M. Hitzer
New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford
in Petsche, H.-J.; Lewis, A.C.; Liesen, J.; Russ, S. (eds.), From Past to Future: Grasmann’s Work in Context, Grasmann Bicentennial Conference, September 2009, Springer, Basel, pp. 413 – 422 (2010).

E.S.M. Hitzer, C. Perwass
Interactive 3D Space Group Visualization with CLUCalc and the Clifford Geometric Algebra Description of Space Groups
Adv. Appl. Clifford Alg., Vol. 20(3-4), pp. 631-658, (2010), DOI 10.1007/s00006-010-0214-z.

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