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   -> Volume 4, Issue 4

Course: The 5th international summer school
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Laura Varpula

PostPosted: Mon Dec 02, 2002 6:07 pm    
Subject: Course: The 5th international summer school
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Course: The 5th international summer school

The University of Jyvaskyla, Finland, is organizing


31 Jul - 25 Aug 1995

What is the Summer School?
The aim of the International Summer School is to
offer advanced courses in various topics to both
undergraduate and graduate students.
What is the programme of the Summer School?
The programme of the 5th International Summer

School consists of courses on the following topics:
applied mathematics
computer science

How to apply for the Summer School?
To apply for the International Summer School
please fill in the application form
and send it to the organizers by 31 March 1995.

What are the costs?
There is no tuition fee for the Summer School.
Housing and living expenses and travel costs
are the responsibility of each participant.

For further information please contact
The 5th International Summer School
Faculty of Mathematics and Natural Sciences
University of Jyvaskyla
P.O. Box 35
FIN-40351 Jyvaskyla

Phone: +358 41 602 205
Fax: +358 41 602 201
E-mail and WWW addresses:

Please find enclosed more detailed information about the courses
of the Wavelet-topic in the Summer School.

MA 1 Introduction to wavelets,
30 h, 31 July - 11 August
The topics of the course are: Outline of basic Fou-
rier analysis, multiresolution approximation, or-
thogonal wavelet bases, wavelet frames, biortho-
gonal bases, applications to various fields includ-
ing functional analysis. The students are assumed
to know the first principles of Lebesgue integration
and basic functional analysis.
Course book: Y. Meyer, "Wavelets and Operators".
Dr. D.L. Salinger, Univ. of Leeds, UK.

MA 2 Signal processing and multifractal analysis
with wavelets, 30 h, 7 - 18 August
The topics of the course are: Signal and image
processing with wavelets and other time-frequency
algorithms, optimal denoising, wavelets and multi-
fractal analysis. The basic understanding of wave-
lets is assumed.
Course books: Y. Meyer, "Wavelets, Algorithms
and Applications" (SIAM 1992); P. Flandrin,
"Temps-frequence" (Hermes 1993).
Prof Y. Meyer, Universite Paris-Dauphine and the
French Academy of Sciences, France.

MA 3 Applications of wavelets to analysis,
30 h, 10 - 22 August
The topics of the course are: Regularity analysis
through wavelets: global analysis related to har-
monic analysis (Sobolev spaces, Holder spaces,
weighted Lebesgue spaces) and microlocal analysis
(with applications to multifractal analysis, partial
differential equations and turbulence). Basic know-
ledge of Lebesgue integration and basic Fourier
and functional analysis is required.
Course book: Y. Meyer, "Wavelets and Operators".
Also of interest: I. Daubechies, "Ten Lectures on
Wavelets" (SIAM, 1992); J.P. Kahane and P.G.
Lemarie-Rieusset, "Fourier Series and Wavelets"
(Gordon and Breach, to appear).
Prof. P.G. Lemarie-Rieusset, Universite Paris-Sud,
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