| dc.creator |
Long, Na |
|
| dc.date |
2014-11-21T22:24:06Z |
|
| dc.date |
2014-11-21T22:24:06Z |
|
| dc.date |
2014-11-21 |
|
| dc.date |
2014 |
|
| dc.date |
December |
|
| dc.date.accessioned |
2023-04-10T10:09:53Z |
|
| dc.date.available |
2023-04-10T10:09:53Z |
|
| dc.identifier |
http://hdl.handle.net/2097/18731 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/285478 |
|
| dc.description |
Master of Science |
|
| dc.description |
Department of Mathematics |
|
| dc.description |
Marianne Korten |
|
| dc.description |
Distribution theory is an important tool in studying partial differential equations. Distributions are linear functionals that act on a space of smooth test functions. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative. There are different possible choices for the space of test functions, leading to different spaces of distributions. In this report, we take a look at some basic theory of distributions and their Fourier transforms. And we also solve some typical exercises at the end. |
|
| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.publisher |
Kansas State University |
|
| dc.subject |
Distributions |
|
| dc.subject |
Fourier Transform |
|
| dc.subject |
Mathematics (0405) |
|
| dc.title |
Basic theorems of distributions and Fourier transforms |
|
| dc.type |
Report |
|