Fundamental concepts on Fourier Analysis (with exercises and applications)


Show simple item record Dixit, Akriti 2008-07-31T22:04:01Z 2008-07-31T22:04:01Z 2008-07-31T22:04:01Z
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. en
dc.language.iso en_US en
dc.publisher Kansas State University en
dc.subject Fourier Analysis en
dc.title Fundamental concepts on Fourier Analysis (with exercises and applications) en
dc.type Report en Master of Science en
dc.description.level Masters en
dc.description.department Department of Mathematics en
dc.description.advisor Diego M. Maldonado en
dc.subject.umi Mathematics (0405) en 2008 en August en

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