Centre for Mathematical Sciences
STINT advanced intensive minicourse
Palle E. T. Jorgensen
(
June 1113, 2007
Times and Place:
MH 333,
Matematicum,
Monday June 11, 2007 kl 13  15
Tuesday June 12, 2007 kl 13  15
Wednesday June 13, 2007 kl 13  15
Language of lectures: English
Summary:
The lectures, combining analysis and tools from mathematical probability, give a systematic presentation of recent trends in three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals.
From operator algebra theory, a key topic in the talks will be representations of the Cuntz algebras.
They aim to bring together tools from engineering and math, especially from signal and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students.
Special:
• motivation;
• glossary of terms, their use in mathematics and in engineering;
• graphic renditions of algorithms, and separate illustrations;
• explaining engineering terms to mathematicians, and operator theory to engineers;
• guide to the literature.
Palle E.T. Jorgensen is a Professor of Mathematics at the University of Iowa.
He has taught some of this in courses over the last several years.
He is the author of a GTM Springer book v 234 in 2006.
Analysis and Probability: Wavelets, Signals, Fractals, Graduate Texts in Mathematics, Vol. 234, Springer.
Analysis and Probability: Wavelets, Signals, Fractals
And his other most recent book was written jointly with Ola Bratteli and is entitled
Wavelets through a Looking Glass, Applied and Numerical Harmonic Analysis, Birkhäuser, 2002.
Wavelets through a Looking Glass: The World of the Spectrum
Analysis and Probability:

Wavelets through a Looking Glass: The World of the Spectrumby Ola Bratteli andPalle E. T. JorgensenApplied and Numerical Harmonic Analysis, Birkhäuser, 2002 
Contact information for Palle Jorgensen:
Palle Jorgensen
Department of Mathematics
14 MLH
The University of Iowa
Iowa City, IA 522421419
USA
http://www.math.uiowa.edu/~jorgen/
Contact and organizer in Lund University:
Sergei Silvestrov,
Office: MH:154,
Phone: (+46) 46 222 4010,
sergei.silvestrov@maths.lth.se
http://www.maths.lth.se/matematiklth/personal/ssilvest/index.html