Fourier Analysis, 7.5 ECTS

Second level

Facts

Study pace 25%
Study time Daytime
Study form Normal
Language English
Special eligibility requirements
To qualify for the course 90 credits in mathematics, including the courses Linear analysis, 7.5 ECTS credits, Foundations of Analysis, 7.5 ECTS and Analytic functions, 7.5 ECTS credits or equivalent, is needed. English B/English 6 or equivalent.

Description

The course covers basic theory for Fourier series and Fourier integrals in L1 and L2. The connection between Fourier integrals and analytic functions (Paley-Wiener theorems, Hardy functions). Applications in various fields, for example heat propag…

The course covers basic theory for Fourier series and Fourier integrals in L1 and L2. The connection between Fourier integrals and analytic functions (Paley-Wiener theorems, Hardy functions). Applications in various fields, for example heat propagation, isoperimetric inequality, equal distribution modulo 1, random walk, band- and timelimited signals, filters, Wiener-Hopf factorization.

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Area of interests: Information only in Swedish

Information only in Swedish

Subject

Mathematics

As a mathematical theory always implies that certain conclusions hold under certain given conditions, it can in principle say nothing about the physical reality. None the less mathematics has become an indispensable tool for a large number of subjects like astronomy, physics, chemistry, statistics and the technical sciences and in later times also for economy, biology, various social sciences and computor science. The role of mathematics in the applied sciences is both to supply notions for exact and adequate formulations of empirical laws but also from these laws to derive consequences, which can be used to find better models of the reality one has to describe. These tasks have lately become more important. Mathematics is in continual progress by intensive international research, new theories are created and already existing theories are simplified and augmented.

Mathematics

Course events

Spring 2018

Study pace 25 %
Study time Daytime
Study form Normal
Language English.

Selection: No selection.

Start period: Period 1 - starts during the first half of the semester

Location: Stockholm

Additional information: Application deadline 16 October.

Tuition fee

Tuition fees only concern citizens outside the EU, EES and Switzerland
First instalment: 17500 SEK
Total course/programme fee: 17500 SEK

Tuition fees only concern citizens outside the EU, EES and Switzerland
Appl.code: SU-48067