Fourier analysis: Part I, Theory
Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, compr...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2016
|
| Series: | London Mathematical Society student texts
85 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 UPA01 Volltext |
| Summary: | Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study |
| Physical Description: | 1 Online-Ressource (xiv, 353 Seiten) |
| ISBN: | 9781107358508 |
| DOI: | 10.1017/CBO9781107358508 |
Staff View
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| institution | BVB |
| isbn | 9781107358508 |
| language | English |
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| spelling | Constantin, Adrian 1970- Verfasser (DE-588)1020343125 aut Fourier analysis Part I, Theory Adrian Constantin, Universität Wien, Austria Cambridge Cambridge University Press 2016 1 Online-Ressource (xiv, 353 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 85 Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study Fourier analysis Mathematical analysis Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-107-04410-4 Erscheint auch als Druck-Ausgabe 978-1-107-62035-3 https://doi.org/10.1017/CBO9781107358508 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Constantin, Adrian 1970- Fourier analysis Part I, Theory Fourier analysis Mathematical analysis Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4023453-8 |
| title | Fourier analysis Part I, Theory |
| title_auth | Fourier analysis Part I, Theory |
| title_exact_search | Fourier analysis Part I, Theory |
| title_full | Fourier analysis Part I, Theory Adrian Constantin, Universität Wien, Austria |
| title_fullStr | Fourier analysis Part I, Theory Adrian Constantin, Universität Wien, Austria |
| title_full_unstemmed | Fourier analysis Part I, Theory Adrian Constantin, Universität Wien, Austria |
| title_short | Fourier analysis |
| title_sort | fourier analysis part i theory |
| title_sub | Part I, Theory |
| topic | Fourier analysis Mathematical analysis Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Fourier analysis Mathematical analysis Harmonische Analyse |
| url | https://doi.org/10.1017/CBO9781107358508 |
| work_keys_str_mv | AT constantinadrian fourieranalysispartitheory |