Basic theorems of distributions and Fourier transforms
dc.contributor.author | Long, Na | en_US |
dc.date.accessioned | 2014-11-21T22:24:06Z | |
dc.date.available | 2014-11-21T22:24:06Z | |
dc.date.graduationmonth | December | en_US |
dc.date.issued | 2014-11-21 | |
dc.date.published | 2014 | en_US |
dc.description.abstract | 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. | en_US |
dc.description.advisor | Marianne Korten | en_US |
dc.description.degree | Master of Science | en_US |
dc.description.department | Department of Mathematics | en_US |
dc.description.level | Masters | en_US |
dc.identifier.uri | http://hdl.handle.net/2097/18731 | |
dc.language.iso | en_US | en_US |
dc.publisher | Kansas State University | en |
dc.subject | Distributions | en_US |
dc.subject | Fourier Transform | en_US |
dc.subject.umi | Mathematics (0405) | en_US |
dc.title | Basic theorems of distributions and Fourier transforms | en_US |
dc.type | Report | en_US |