Fundamental concepts on Fourier Analysis (with exercises and applications)

Master of Science === Department of Mathematics === Diego M. Maldonado === 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 appli...

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Main Author:	Dixit, Akriti
Language:	en_US
Published:	Kansas State University 2008
Subjects:	Fourier Analysis Mathematics (0405)
Online Access:	http://hdl.handle.net/2097/898

id	ndltd-KSU-oai-krex.k-state.edu-2097-898
record_format	oai_dc
spelling	ndltd-KSU-oai-krex.k-state.edu-2097-8982016-03-01T03:50:00Z Fundamental concepts on Fourier Analysis (with exercises and applications) Dixit, Akriti Fourier Analysis Mathematics (0405) Master of Science Department of Mathematics Diego M. Maldonado 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. 2008-07-31T22:04:01Z 2008-07-31T22:04:01Z 2008-07-31T22:04:01Z 2008 August Report http://hdl.handle.net/2097/898 en_US Kansas State University
collection	NDLTD
language	en_US
sources	NDLTD
topic	Fourier Analysis Mathematics (0405)
spellingShingle	Fourier Analysis Mathematics (0405) Dixit, Akriti Fundamental concepts on Fourier Analysis (with exercises and applications)
description	Master of Science === Department of Mathematics === Diego M. Maldonado === 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.
author	Dixit, Akriti
author_facet	Dixit, Akriti
author_sort	Dixit, Akriti
title	Fundamental concepts on Fourier Analysis (with exercises and applications)
title_short	Fundamental concepts on Fourier Analysis (with exercises and applications)
title_full	Fundamental concepts on Fourier Analysis (with exercises and applications)
title_fullStr	Fundamental concepts on Fourier Analysis (with exercises and applications)
title_full_unstemmed	Fundamental concepts on Fourier Analysis (with exercises and applications)
title_sort	fundamental concepts on fourier analysis (with exercises and applications)
publisher	Kansas State University
publishDate	2008
url	http://hdl.handle.net/2097/898
work_keys_str_mv	AT dixitakriti fundamentalconceptsonfourieranalysiswithexercisesandapplications
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Fundamental concepts on Fourier Analysis (with exercises and applications)

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