| 書(shū)目名稱 | Fourier Series | | 副標(biāo)題 | A Modern Introductio | | 編輯 | R. E. Edwards | | 視頻video | http://file.papertrans.cn/348/347251/347251.mp4 | | 叢書(shū)名稱 | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | The principal aim in writing this book has been to provide an intro- duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of modem concepts and techniques is, in fact, as wide- spread 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 con- vergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best ormost natural role through pointwise-tinted spectacles. Moreover, the famous treatises by Zygmund and by Baryon trigonometric series cover these aspects in great detail, wl:tile leaving some gaps in th | | 出版日期 | Textbook 1979Latest edition | | 關(guān)鍵詞 | Finite; Fourier; Invariant; Lemma; Morphism; Series; algebra; approximation; calculus; convolution; function; g | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4612-6208-4 | | isbn_ebook | 978-1-4612-6208-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York, Inc. 1979 |
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