SOME PRELIMINARY COMMENTS ABOUT THE COURSE ON WAVELETS THIS COMING
SEMESTER.

Current schedule:
Sundays 10:30-11:30, Amado 815.
Tuesdays 10:30-12:30, Amado 509.

We may perhaps change the advertised time of the lectures since there is
apparently a clash with another course which is of interest to people
interested in my course.

We will use a voting by email procedure to try to find the time which is
is possible and optimal for all of us. If you are registered you will soon
receive a form for specifying the times which are possible for you. If
you are not registered but want to "vote", send me an email message.

I plan to base this course on the book "A first course on wavelets" by
Eugenio Hernandez and Guido Weiss, which is in our library I believe

For those of you who are interested in immediately applying wavelets to
practical problems, I should point out that this is comparatively
theoretical I think. I cannot promise that the day after finishing this
course you will be ready to start work as a programmer using wavelets for
image compression or signal analysis. But in the long term it may be a
good investment to understand wavelets at a deeper level.

To get an idea of the prerequisites, you should look in particular at
the beginning of the book including the section "some advice to the
reader" in the preface, and also "1.1 Preliminaries" pp. 2-7.

You should know the basic notions of functional analysis, in particular
Hilbert spaces. It is better if you also know about Lebesgue measure and
integration, (i.e. the material of the "Real Functions") but you can
probably manage for most of the time with just Riemann integration.
We are developing alternatives to Fourier series and Fourier transforms. 
But often we will actually use Fourier series and transforms to help us.

It will maybe be possible, to some extent, to adapt the course to
the particular needs of those students who decide to take it. But
I cannot promise miracle solutions here. It may be impossible to
reconcile the different needs of all the students, and the
knowledge of the lecturer.

One student asked me how often courses are given in our department on
wavelets. I gave one, about 10 years ago. and since then there was one
course I know about (I attended it)  where wavelets were discussed in the
last part of the course. Maybe there were other courses during this time
which I did not hear about. My guess is that there will not be courses on
wavelets more often than once every 3 years or so. Of course if many
students express interest in such courses this could change the situation.