
Homepage
of Milton Ferreira


Teaching:
 Mathematical Analysis
(Winter Semester)
 Applied Mathematics
(Summer Semester)
Research Areas:
 Wavelet
Analysis, Harmonic Analysis, Frame theory;
 Clifford Analysis;
 Gyrogroups.
Personal data:
Academic degrees, fields of study, awarding institutions:
Previous positions,
institutions:
 Invited
Assistant Professor, Department of Mathematics, School of Technology and
Management, Polytechnic Institute of Leiria,
01/03/08 to 13/05/09.
 Invited
Teaching Assistant, Department of Mathematics, School of Technology and
Management, Polytechnic Institute of Leiria,
01/10/07 to 29/02/08.
 Junior
Teaching Assistant, Department of Mathematics, University of Aveiro, 13.09.04 to 29.07.05.
 Junior
Teaching Assistant, Department of Mathematics, University of Aveiro, 22.09.03 to 30.07.04.
Membership of
research units:
 Member of
the research group Complex and Hypercomplex Analysis, of Centro de Investigação e Desenvolvimento em
Matemática e Aplicações  CIDMA, from Sep. 2010 until
July 2013.
 Member of
the research group Complex and Hypercomplex Analysis, of UIMA – Unidade de Investigação em Matemática e
Aplicações, from 2004 until
2009.
Projects:
 “MITO
– Módulos Interativos
de Treino Online” – Project of construction of
new and innovative educational resources for teaching, DMAT ESTG/IPL.
 “Spherical
Radon Transform and Coorbit Theory” – Acções LusoAlemãs /
DAADGRICES, (January 2008  December 2009). Collaboration between
University of Aveiro, (by the research unity
UIMA of Department of Mathematics) and KonradZuseZentrum
für Informationstechnik
of Berlin, Germany.
Prizes and Grants:
 PhD
Grant of FCT, ref. SFRH/BD/12
744, 2003  2007.
 Best
student prize, University of Aveiro, 2002.
 Best
student prize, University of Aveiro, 1999.
Publications:
Papers in Journals and Proceedings of Congress listed in Citation Index
(ISI):
 Ferreira,
M., Sommen, F., Complex boosts: a Hermitian Clifford
algebra approach, submitted.
 Ferreira,
M., Morais, J., 3D deformations by means of monogenic functions, Math. Methods
Appl. Sci., accepted.
 Cerejeiras, P., Ferreira, M., Kähler, U., Teschke, G., Inversion of the noisy Radon
transform on SO(3) by Gabor frames and sparse
recovery algorithms,
Appl. Comput. Harmon. Anal., 31 (3) (2011), 325345.
 Ferreira,
M., Ren, G., Möbius gyrogroups:
A Clifford algebra approach , J. of Algebra 328 (2011), 230253.
 Ferreira,
M., Gyrogroups in Projective Hyperbolic
Clifford Analysis, I. Sabadini
and F. Sommen (eds.), Hypercomplex
Analysis and Applications  Trends in Mathematics, Springer, Basel, (2010), 6180.
 Ferreira,
M., Factorizations of Möbius gyrogroups ,Advances in Applied Clifford Algebras 19
(2) (2009), 303323.
 Ferreira,
M., Spherical Continuous wavelet
transforms arising from sections of the Lorentz group, Appl. Comput. Harmon. Anal. 26
(2009), 212229.
 Ferreira,
M., Spherical Wavelet transform,, Advances in Applied Clifford
Algebras 18 (2008), 611619.
 Cerejeiras, P., Ferreira, M., Kähler, U., Sommen, F., Continuous wavelet transform
and wavelet frames on the sphere using Clifford Analysis, Communications on Pure and Applied Analysis, Vol. 6, no. 3
(2007), 619641.
 Cerejeiras, P., Ferreira, M., Kähler, U., Monogenic wavelets over the
unit ball, Journal for Analysis and its
Applications 24 (2005), 813824.
Papers in Journals and Proceedings of Congress with referee not listed in
Citation Index (ISI):
 Cerejeiras, P., Ferreira, M., Kähler, U. e Vieira, N., “Monogenic Frames for an
Integral Transform on the Unit Sphere”, Complex Variables and Elliptic
Equations, vol. 51, nº 1, 2006, 5161.
 Cerejeiras, P., Ferreira, M. e Kähler, U. “Clifford Analysis and the Continuous
Wavelet Transform”, Wavelet Analysis and Applications Series: Applied and
Numerical Harmonic Analysis, Qian, Tao; Vai, Mang; Xu, Yuesheng (Eds.),
173184, Birkhauser, Basel, 2006.
 Cerejeiras, P., Ferreira, M. e Kähler, U. “Frames for the Continuous Spherical
Wavelet Transform”, Q. Tao, et al., Proc. of the 4th ICWAAA – Macau 2005,
9pp. Dig. Proc., Macau, 2005.
 Cerejeiras, P., Ferreira, M. e Kähler, U. “Clifford Analysis and the Continuous
Spherical Wavelet Transform”, Q. Tao et al., Proc. of the 4th ICWAAA –
Macau 2005, Dig. Proc.,
7 pp, Macau, 2005.
 Ferreira,
M., “Quaternionic monogenic wavelets over the
unit ball”, Proceedings of ICAM – Recent trends of Applied Mathematics
based on Partial Differential Equations and Complex Analysis, Hanoi,
Vietnam, 2004. Published in L.H. Son, et al., Methods of Complex and
Clifford Analysis, 295305, SAS International Publications, Delhi, 2005.
Thesis:
Scientific visits (with partial or full support) to international
institutes:
 University
of Applied Sciences Neubrandenburg, Germany, invitation of Prof. Dr. Gerd Teschke, 1725.08.08.
 Université Catholique
de Louvain, Institut de Physique Théorique, Belgium, invitation of Prof. Dr. Jean
Pierre Antoine, 0827.05.06.
 Laboratoire de traitement
des signaux, École Polytechnique Fédérale de
Lausanne, Switzerland, invitation of Prof. Dr. Pierre Vandergheynst,
0106.05.06.
 European
Center of Time and Frequency, University of Vienna, Austria, invitation of
Prof. Dr. Hans Feichtinger, 2023.06.2005.
 Technologic
University of Tampere, Finland, invitation of Prof. Dra.
SirkkaLiisa Eriksson,
2023.06.2005.
 University
of Ghent, Belgium, invitation of Prof. Dr. Frank Sommen,
16.01.05 a 07.02.05.
Communications in Conferences and Workshops:
 Gabor
Analysis on S3 and its application to the inversion of the onedimensional
Radon transform on the rotation group SO(3),
Annual Workshop on Hypercomplex Analysis and
Applications, University of Paderborn, Germany, 1920.02.10.
 Factorizations
of Möbius gyrogroups –
the paravector case,
7th International ISAAC Congress, Imperial College of London, England,
1318.07.09.
 Gabor
analysis over the rotation group,
11th European Workshop on Applications and Generalizations of Complex
Analysis, University of Coimbra, Portugal, 1718.04.09.
 The
inversion of the Radon transform on SO(3) by
Gabor frame expansions, Conference on Time Frequency,
Strobl, Austria, 1421.06.09.
 Spherical
Continuous Wavelet Transforms arising from sections of the Lorentz group, Recent Trends in Harmonic Analysis, Strobl,
Austria, 1723.06.07.
 Clifford
Analysis and the Spherical Continuous Wavelet Transform, Recent Progress in Wavelet Analysis and Frame Theory, HASSIP
Workshop (Harmonic Analysis and Statistics for Signal and Image
Processing), University of Bremen, Germany, 2326.01.06.
 Continuous
Wavelet transform on the Unit Sphere,
4th ICWAA (International Conference on Wavelet Analysis and its
Applications) – Macau 2005, University of Macau, 30.11.05 to 02.12.05.
 Wavelet
transform on the unit sphere and monogenic frames, 7º ICCA (International Conference on Clifford Algebras and Their
Applications), University Paul Sabatier  Toulouse (France), 1929.05.05.
 Wavelets
over the unit ball, 7th Annual Workshop on
Applications of Complex Analysis, Uiversity of Aveiro  Portugal, 0405.06.04.
 Monogenic
wavelets over the unit ball, ICAM – Recent trends of
applied Mathematics based on partial differential equations and complex
analysis, Hanoi  Vietnam, 2529 .08.04.