Universität Wien
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250117 VO Topics in Harmonic analysis (2016W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 03.10. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.10. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.10. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.10. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.10. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 31.10. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.11. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.11. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 21.11. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 28.11. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.11. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 05.12. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 06.12. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.12. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.12. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.01. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.01. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.01. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.01. 11:30 - 12:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 31.01. 11:30 - 13:00 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

In this course harmonic analysis is understood as the theory and applications of Fourier series and the Fourier transform. This is an interesting subject in itself, but it arises in many parts of mathematics (PDE, signal and image processing, number theory, probability, data analysis, etc.) This course will develop Fourier series and integrals systematically . To understand the power of harmonic analysis, we will treat interesting applications, such as isoperimetric inequality, counting lattice points, density of sphere packings, PDE)

Prerequisits: analysis, basic functional analysis, Lebesgue measure (definition and convergence theorems)

Assessment and permitted materials

Oral or written exam (the exam mode will depend on the number of participants)

Minimum requirements and assessment criteria

Knowledge of the basic concepts and theorems, understanding of the main proofs, and applications

Examination topics

Everything that is covered in the course

Reading list

Stein Princeton Lectures in Analysis, vol. 1
Books of Katznelson, Koerner, Folland.
Lecture notes by Laugesen
(to be completed)

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40