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- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 223)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"This book is one in the Graduate Texts in Mathematics series published by Springer. … There is a variety of worked examples as well as 350-plus exercises … . The book is a valuable addition to the literature on Fourier analysis. It is written with more mathematical rigour than many texts … without being totally opaque to the non-specialist. … The examples at the end of each chapter are well structured and a reader working through most of them will achieve a good understanding of the topics." (Graham Brindley, The Mathematical Gazette, Vol. 90 (517), 2006)
"The author … presents the results of his experiences and choices for decades of teaching courses. … The tables and formulas collected … are of great service. At the end of each chapter there is a summary section that discusses the results, gives some history, and suggests instructive exercises. We thus have a solid course on Fourier analysis and its applications interesting for students and specialists in engineering as well as for mathematicians. … I believe that the book will find numerous interested readers." (Elijah Liflyand, Zentralblatt MATH, Vol. 1032 (7), 2004)
"This book is an interesting mixture of a traditional approach … and a more modern one, emphasizing the role of (tempered) distributions and the application aspects of Fourier analysis. … The book is certainly highly recommendable for those who want to learn the essence of Fourier analysis in a mathematically correct way without having to go through too much technical details." (H.G. Feichtinger, Monatshefte für Mathematik, Vol. 143 (2), 2004)
"The book is appropriate for an advanced undergraduate or a master’s level one-term introductory course on Fourier series with applications to boundary value problems. … a deep idea is presented in a non-rigorous way both to show the usefulness of the idea and to stimulate interest in further study. … The book has a goodcollection of exercises … . Each chapter ends with both a summary of its main results and methods and historical notes." (Colin C. Graham, Mathematical Reviews, Issue 2004 e)
Authors, Editors and Affiliations
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Mathematics Department, San Francisco State University, San Francisco, USA
S. Axler
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Mathematics Department East Hall, University of Michigan, Ann Arbor, USA
F. W. Gehring
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Mathematics Department, University of California, Berkeley, USA
K. A. Ribet
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Department of Mathematics, Uppsala University, Uppsala, Sweden
Anders Vretblad
About the editors
Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.
Bibliographic Information
Book Title: Fourier Analysis and Its Applications
Authors: Anders Vretblad
Editors: S. Axler, F. W. Gehring, K. A. Ribet
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/b97452
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2003
Hardcover ISBN: 978-0-387-00836-3Published: 17 July 2003
Softcover ISBN: 978-1-4419-1841-3Published: 29 November 2010
eBook ISBN: 978-0-387-21723-9Published: 18 April 2006
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XII, 272
Topics: Fourier Analysis