Trigonometric Series: A Survey
A survey of some of the main-line developments in trigonometric series. It is an extension of a Presidential address to Section III of the Royal Society of Canada. Part I deals briefly, in chronological order, with the mathematical problems that arose out of trigonometric series and the interactions...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Toronto
University of Toronto Press
[2019]
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| Schriftenreihe: | Heritage
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| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 UBG01 FAB01 FCO01 URL des Erstveröffentlichers |
| Zusammenfassung: | A survey of some of the main-line developments in trigonometric series. It is an extension of a Presidential address to Section III of the Royal Society of Canada. Part I deals briefly, in chronological order, with the mathematical problems that arose out of trigonometric series and the interactions between these problems and general mathematical analysis. There is mention of the contributions of Euler, Daniel Bernoulli, d'Alembert, Fourier, Lagrange, Dirichlet. This is followed by a description of some of the problems still open at the end of the period covered by these men, and a description of the way these problems were later solved by Denjoy, by Zygmund and Marcinkiewicz, by Burkill and by James. Part II gives complete proofs of the results of the earlier period outlined in Part I, and concludes with the essential details of the approach of Denjoy and of James. Canadian Mathematical Congress Lecture Series, No. 2 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mrz 2019) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781487599959 |
| DOI: | 10.3138/9781487599959 |
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| spelling | Jeffery, Ralph Verfasser aut Trigonometric Series A Survey Ralph Jeffery Toronto University of Toronto Press [2019] © 1956 1 online resource txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mrz 2019) A survey of some of the main-line developments in trigonometric series. It is an extension of a Presidential address to Section III of the Royal Society of Canada. Part I deals briefly, in chronological order, with the mathematical problems that arose out of trigonometric series and the interactions between these problems and general mathematical analysis. There is mention of the contributions of Euler, Daniel Bernoulli, d'Alembert, Fourier, Lagrange, Dirichlet. This is followed by a description of some of the problems still open at the end of the period covered by these men, and a description of the way these problems were later solved by Denjoy, by Zygmund and Marcinkiewicz, by Burkill and by James. Part II gives complete proofs of the results of the earlier period outlined in Part I, and concludes with the essential details of the approach of Denjoy and of James. Canadian Mathematical Congress Lecture Series, No. 2 In English EDUCATION / General bisacsh Fourier series Trigonometrische Reihe (DE-588)4294043-6 gnd rswk-swf Trigonometrische Reihe (DE-588)4294043-6 s 1\p DE-604 https://doi.org/10.3138/9781487599959 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jeffery, Ralph Trigonometric Series A Survey EDUCATION / General bisacsh Fourier series Trigonometrische Reihe (DE-588)4294043-6 gnd |
| subject_GND | (DE-588)4294043-6 |
| title | Trigonometric Series A Survey |
| title_auth | Trigonometric Series A Survey |
| title_exact_search | Trigonometric Series A Survey |
| title_full | Trigonometric Series A Survey Ralph Jeffery |
| title_fullStr | Trigonometric Series A Survey Ralph Jeffery |
| title_full_unstemmed | Trigonometric Series A Survey Ralph Jeffery |
| title_short | Trigonometric Series |
| title_sort | trigonometric series a survey |
| title_sub | A Survey |
| topic | EDUCATION / General bisacsh Fourier series Trigonometrische Reihe (DE-588)4294043-6 gnd |
| topic_facet | EDUCATION / General Fourier series Trigonometrische Reihe |
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