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

Wavelets through a Looking Glass, Applied and Numerical Harmonic Analysis, Birkhäuser, 2002.

Wavelets through a Looking Glass: The World of the Spectrum

 

Textbook in Springer's Graduate Texts in Mathematics series

[cover of Analysis and Probability: Wavelets, Signals, Fractals]

Analysis and Probability:
Wavelets, Signals, Fractals

Palle E. T. Jorgensen

Graduate Texts in Mathematics, Vol. 234, Springer

As of 9/18/2006, this new book is in the warehouse and is being shipped to bookstores.


Link to the Wavelet Decomposition Images


Wavelet book in Birkhäuser's Applied and Numerical Harmonic Analysis series

[cover of Wavelets through a Looking Glass: The World of the Spectrum]

Wavelets through a Looking Glass: The World of the Spectrum

by Ola Bratteli and

Palle E. T. Jorgensen

Applied 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 52242-1419
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