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

Enrol
12.2.2018 at 12:00 - 2.5.2018 at 23:59

Timetable

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.

DateTimeLocation
Mon 12.3.2018
14:15 - 16:00
Wed 14.3.2018
12:15 - 14:00
Mon 19.3.2018
14:15 - 16:00
Wed 21.3.2018
12:15 - 14:00
Mon 26.3.2018
14:15 - 16:00
Wed 28.3.2018
12:15 - 14:00
Mon 9.4.2018
14:15 - 16:00
Wed 11.4.2018
12:15 - 14:00
Mon 16.4.2018
14:15 - 16:00
Wed 18.4.2018
12:15 - 14:00
Mon 23.4.2018
14:15 - 16:00
Wed 25.4.2018
12:15 - 14:00
Mon 30.4.2018
14:15 - 16:00
Wed 2.5.2018
12:15 - 14:00

Other teaching

14.03. - 28.03.2018 Wed 10.15-12.00
11.04. - 02.05.2018 Wed 10.15-12.00
Petri Ola
Teaching language: English

Material

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

Tasks

Conduct of the course

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.

Description

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