Sessions
The first introductory meeting was on Tuesday February 14, 2006,
16.00-17.00 hour, room P015A, Euclides building.
Next sessions will also be on Tuesday, 16.00-17.00 hour, room to be
announced, tentatively P015A.
The session of 18 April will start at 15.30 hour, with presentations
by two students on Heisenberg's inequality and on the
Discrete and Fast Fourier Transform.
Lecturer: T.H. Koornwinder
Examination
The final mark will be based for 50% on submitted exercises
(possibly combined with an oral examination about a part of the material
on wavelets)
and for 50% on the written and oral presentation
of a final project.
| Date | Material | Exercises to be submitted |
| 21 Feb. | S-S, Ch.2 | two from Ex. 2.6, 2.7, 2.8,
2.9, 2.13, 2.14, 2.16, 2.17 or one from Problems 2.1, 2.2 |
| 28 Feb. | S-S, Ch.3 | Ex. 3.16 or two from Ex. 3.8, 3.9, 3.14, 3.18 |
| 7 Mar. | S-S, Ch.3, §2.2 | two from Ex. 4.5, 4.7, 4.8, 4.9 |
| 14 Mar. | S-S, Ch.3, Ex. 20; Ch.5, §1 | one from Ex. 5.1, 5.2 and one from Ex. 5.6, 5.8 |
| 21 Mar. | S-S, Ch.5, §1 | Ex. 1 from
More on Fourier integrals
or Ch. 5, Problem 7, (a)-(c) (use my hints in More on Fourier integrals) |
| 4 Apr. | S-S, Ch.5, §1,3 | |
| 18 Apr. | Koornwinder's syllabus Fourier analysis, §10 |
two students will give presentations |
| 25 Apr. | D, Ch.2 and Chapter on Continuous
wavelet transform in Koornwinder's book |