Fourier series: a modern introduction Volume 1
The principal aim in writing this book has been to provide an introduction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modern techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
Springer-Verlag
[1979]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Graduate texts in mathematics
64 |
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-91 DE-384 DE-703 Volltext |
| Zusammenfassung: | The principal aim in writing this book has been to provide an introduction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modern techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of modern concepts and techniques is, in fact, as widespread as is deemed to be compatible with the desire that the book shall be useful to senior undergraduates and beginning graduate students, for whom it may perhaps serve as preparation for Rudin's Harmonic Analysis on Groups and the promised second volume of Hewitt and Ross's Abstract Harmonic Analysis. The emphasis on modem techniques and outlook has affected not only the type of arguments favored, but also to a considerable extent the choice of material. Above all, it has led to a minimal treatment of pointwise convergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best or most natural role through pointwise-tinted spectacles. Moreover, the famous treatises by Zygmund and by Baryon trigonometric series cover these aspects in great detail, while leaving some gaps in the presentation of the modern viewpoint; the same is true of the more elementary account given by Tolstov. Likewise, and again for reasons discussed in Chapter 1, trigonometric series in general form no part of the program attempted. |
| Beschreibung: | 1 Online-Ressource (xii, 228 Seiten) |
| ISBN: | 9781461262084 |
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| spelling | Edwards, Robert E. 1926- (DE-588)172059607 aut Fourier series a modern introduction Volume 1 R.E. Edwards Second edition New York Springer-Verlag [1979] 1 Online-Ressource (xii, 228 Seiten) txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 64 Graduate texts in mathematics The principal aim in writing this book has been to provide an introduction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modern techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of modern concepts and techniques is, in fact, as widespread as is deemed to be compatible with the desire that the book shall be useful to senior undergraduates and beginning graduate students, for whom it may perhaps serve as preparation for Rudin's Harmonic Analysis on Groups and the promised second volume of Hewitt and Ross's Abstract Harmonic Analysis. The emphasis on modem techniques and outlook has affected not only the type of arguments favored, but also to a considerable extent the choice of material. Above all, it has led to a minimal treatment of pointwise convergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best or most natural role through pointwise-tinted spectacles. Moreover, the famous treatises by Zygmund and by Baryon trigonometric series cover these aspects in great detail, while leaving some gaps in the presentation of the modern viewpoint; the same is true of the more elementary account given by Tolstov. Likewise, and again for reasons discussed in Chapter 1, trigonometric series in general form no part of the program attempted. Mathematics Real Functions Mathematik Fourier, Series de (DE-604)BV049646016 1 Erscheint auch als Druck-Ausgabe 978-1-4612-6210-7 Graduate texts in mathematics 64 (DE-604)BV035421258 64 https://10.1007/978-1-4612-6208-4 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Edwards, Robert E. 1926- Fourier series a modern introduction Graduate texts in mathematics Mathematics Real Functions Mathematik Fourier, Series de |
| title | Fourier series a modern introduction |
| title_auth | Fourier series a modern introduction |
| title_exact_search | Fourier series a modern introduction |
| title_exact_search_txtP | Fourier series a modern introduction |
| title_full | Fourier series a modern introduction Volume 1 R.E. Edwards |
| title_fullStr | Fourier series a modern introduction Volume 1 R.E. Edwards |
| title_full_unstemmed | Fourier series a modern introduction Volume 1 R.E. Edwards |
| title_short | Fourier series |
| title_sort | fourier series a modern introduction |
| title_sub | a modern introduction |
| topic | Mathematics Real Functions Mathematik Fourier, Series de |
| topic_facet | Mathematics Real Functions Mathematik Fourier, Series de |
| url | https://10.1007/978-1-4612-6208-4 |
| volume_link | (DE-604)BV049646016 (DE-604)BV035421258 |
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