Kaisa_2012_3_photo by Veikko Somerpuro

We study Fourier transforms of functions and (Schwartz) distributions in R^n, and give applications to PDE's and integral geometry

Anmäl dig
12.2.2018 kl. 12:00 - 2.5.2018 kl. 23:59

Tidsschema

In addition to lectures, there is also help available for doing the homework assignments: Antti Kujanpää will be available in the 4th floor corridor (in Exactum of course) on Wednesdays (13-15) and Fridays (10-12).

Important: Due to travel the lecture on Wednesday, March 28 is cancelled.

DatumTidPlats
mån 12.3.2018
14:15 - 16:00
ons 14.3.2018
12:15 - 14:00
mån 19.3.2018
14:15 - 16:00
ons 21.3.2018
12:15 - 14:00
mån 26.3.2018
14:15 - 16:00
ons 28.3.2018
12:15 - 14:00
mån 9.4.2018
14:15 - 16:00
ons 11.4.2018
12:15 - 14:00
mån 16.4.2018
14:15 - 16:00
ons 18.4.2018
12:15 - 14:00
mån 23.4.2018
14:15 - 16:00
ons 25.4.2018
12:15 - 14:00
mån 30.4.2018
14:15 - 16:00
ons 2.5.2018
12:15 - 14:00

Övrig undervisning

14.03. - 28.03.2018 ons 10.15-12.00
11.04. - 02.05.2018 ons 10.15-12.00
Petri Ola
Undervisningsspråk: Engelska

Material

Stein-Shakarchi: Fourier Analysis, an Introduction (Princeton 2003)
Grafakos: Classical Fourier Analysis (Springer 2008)

Uppgifterna

Kursbeskrivningen

Course exam is on Monday 14.5., 12-15, in Exactum. Be there in time, since the exact location will be announced just before the exam (one of the first floor lecture halls).

It is also possible to do the exam in general exams of the department, but this has to be arranged well in advance. So, if you prefer this, send an email to the lecturer.

Beskrivning

Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Fourier Analysis I, Real Analysis I

Master studies

Continuous Fourier transform and tempered distributions

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

Continuous Fourier transform on L^p-spaces and on tempered distributions

Lecture notes

Lectures and exercise classes

Exam and excercises, Course will be graded with grades 1-5

Exam, other methods will be described later