Kaisa_2012_3_photo by Veikko Somerpuro

Ilmoittaudu
11.12.2017 klo 09:00 - 1.3.2018 klo 23:59

Viestit

Antti Kujanpää

Julkaistu, 8.3.2018 klo 10:15

There was a weird error in the solutions of homework 6.2. Sorry.
A new version of the solutions has now been uploaded to the website -Antti

Aikataulu

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).

PäivämääräAikaOpetuspaikka
Ma 15.1.2018
14:15 - 16:00
To 18.1.2018
10:15 - 12:00
Ma 22.1.2018
14:15 - 16:00
To 25.1.2018
10:15 - 12:00
Ma 29.1.2018
14:15 - 16:00
To 1.2.2018
10:15 - 12:00
Ma 5.2.2018
14:15 - 16:00
To 8.2.2018
10:15 - 12:00
Ma 12.2.2018
14:15 - 16:00
To 15.2.2018
10:15 - 12:00
Ma 19.2.2018
14:15 - 16:00
To 22.2.2018
10:15 - 12:00
Ma 26.2.2018
14:15 - 16:00
To 1.3.2018
10:15 - 12:00

Muu opetus

17.01. - 28.02.2018 Ke 12.15-14.00
Petri Ola
Opetuskieli: englanti

Materiaalit

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

Tehtävät

Homework 1

In addition to the pdf-file containing the problems, there is also the latex-file which can be used as the base for typesetting your solutions. You should return these to Antti (antti.kujanpaa 'at' helsinki.fi) by Monday 29 January, 7 pm.

Homework 2

NOTE E4 in the last page
missing from Solutions2 pdf

Homework 4

(*) Error in Ex. 4 : the sequence should converge to 0.

Homework 5

NOTE: to show that the sequence of the counterexample in E2 is equidistributed one refers to the proof in E5

Kurssin suorittaminen

The course exam is on Thursday 8.3., 12-15 in Exactum B119.

Kuvaus

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.

Measure and integration, Functional analysis

Fourier series and applications, fast Fourier transform

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

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

Fourier series, their properties such as convergence and applications

Lecture notes

Lectures and exercise classes

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

Exam, other methods will be described later