Fundamental concepts on Fourier Analysis (with exercises and applications)
| dc.contributor.author | Dixit, Akriti | |
| dc.date.accessioned | 2008-07-31T22:04:01Z | |
| dc.date.available | 2008-07-31T22:04:01Z | |
| dc.date.graduationmonth | August | |
| dc.date.issued | 2008-07-31T22:04:01Z | |
| dc.date.published | 2008 | |
| dc.description.abstract | In this work we present the main concepts of Fourier Analysis (such as Fourier series, Fourier transforms, Parseval and Plancherel identities, correlation, and convolution) and illustrate them by means of examples and applications. Most of the concepts presented here can be found in the book "A First Course in Fourier Analysis" by David W.Kammler. Similarly, the examples correspond to over 15 problems posed in the same book which have been completely worked out in this report. As applications, we include Fourier's original approach to the heat flow using Fourier series and an application to filtering one-dimensional signals. | |
| dc.description.advisor | Diego M. Maldonado | |
| dc.description.degree | Master of Science | |
| dc.description.department | Department of Mathematics | |
| dc.description.level | Masters | |
| dc.identifier.uri | http://hdl.handle.net/2097/898 | |
| dc.language.iso | en_US | |
| dc.publisher | Kansas State University | |
| dc.rights | © the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Fourier Analysis | |
| dc.subject.umi | Mathematics (0405) | |
| dc.title | Fundamental concepts on Fourier Analysis (with exercises and applications) | |
| dc.type | Report |
