Fourier Theory D
Aalto University
<p>Schwartz test functions and distributions (generalized functions)</p><p>Fourier transform of integrable and square-integrable functions, measures and distributions</p><p>Summation methods for Fourier series and integrals (Fejer means)</p><p>Fourier transform in probability theory (Lévy s inversion theorem)</p><p>Fourier analytic description of different classes of functions (Paley-Wiener theorem)</p><p>A peek into nontrigonometric Fourier analysis (such as wavelets)</p><p> </p><p>Compared to MS-C1420 and (the Fourier analysis part of) MS-C1350, this course will both fill in several details in the development of the basic theory as well as reach out to new topics.</p>
Back
|
Course dates
05 January 2026 - 16 February 2026
|
Course organizer
Tuomas Hytönen
|
Place/Venue
School of Science / Department of Mathematics and Systems Analysis
|
City
|
Country
Finland
|
Workload
5
|
Link
https://mycourses.aalto.fi/course/search.php?...
|
|
