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SF2705 Fourier Analysis 7.5 credits

Fourieranalys

A course of Fourier series and Fourier integrals.

  • Educational level

    Second cycle

  • Academic level (A-D)

    D

  • Subject area

    Mathematics

  • Grade scale

    A, B, C, D, E, FX, F

Course offerings

Spring 14 for programme students

  • Periods

    Spring 14 P3 (3.8 credits), P4 (3.7 credits)

  • Application code

    60461

  • Start date

    2014 week: 4

  • End date

    2014 week: 23

  • Language of instruction

    English

  • Campus

    KTH Campus

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    Normal

  • Number of places

    No limitation

  • Part of programme

Spring 14 for programme students

  • Periods

    Spring 14 P3 (3.8 credits), P4 (3.7 credits)

  • Application code

    60200

  • Start date

    2014 week: 4

  • End date

    2014 week: 23

  • Language of instruction

    English

  • Campus

    KTH Campus

  • Number of lectures

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    Normal

  • Number of places

    No limitation

Learning outcomes

To make the students familiar with concepts of Fourier series and Fourier integrals, and to give them some ability to solve applied problems.

Course main content

Fourier series and Fourier integrals in L1 and L2. The Paley-Wiener theorem. Hardy functions. Applications to number theory, physics, probability, signal processing etc.

Eligibility

5B1303 Analysis or corresponding background.

Literature

Stein, E. M. and Shakarchi, R., Fourier analysis. An introduction. Princeton University Press 2003.

Examination

  • TEN1 - Examination, 7.5 credits, grade scale: A, B, C, D, E, FX, F

Offered by

SCI/Mathematics

Examiner

Version

Course plan valid from: Autumn 07.
Examination information valid from: Autumn 07.