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

- Preprints (2010-2012)
- Video lectures (Clifford algebra tutorial, SGV, \sqrt(-1), …)
- Mathematical reviews (29, most Clifford algebra related)

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).

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]

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.