Centre for Mathematical Sciences

Centre for Mathematical Sciences

Lund University

STINT advanced intensive mini-course

Wavelets, fractals, iterated function systems and operator representations.

[Wavelet Decomposed Jorgensen] Palle E. T. Jorgensen (Iowa, USA)

June 11-13, 2007

Times and Place: MH 333, Matematicum, Lund University

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