Real-Variable Methods in Harmonic Analysis
暫譯: 實變數方法在調和分析中的應用
Torchinsky, Alberto
- 出版商: Dover Publications
- 出版日期: 2004-04-09
- 售價: $1,150
- 貴賓價: 9.5 折 $1,092
- 語言: 英文
- 頁數: 462
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0486435083
- ISBN-13: 9780486435084
-
相關分類:
數學
海外代購書籍(需單獨結帳)
商品描述
"A very good choice." -- MathSciNet, American Mathematical Society
An exploration of the unity of several areas in harmonic analysis, this self-contained text emphasizes real-variable methods. Appropriate for advanced undergraduate and graduate students, it starts with classical Fourier series and discusses summability, norm convergence, and conjugate function. An examination of the Hardy-Littlewood maximal function and the Calder n-Zygmund decomposition is followed by explorations of the Hilbert transform and properties of harmonic functions. Additional topics include the Littlewood-Paley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.
An exploration of the unity of several areas in harmonic analysis, this self-contained text emphasizes real-variable methods. Appropriate for advanced undergraduate and graduate students, it starts with classical Fourier series and discusses summability, norm convergence, and conjugate function. An examination of the Hardy-Littlewood maximal function and the Calder n-Zygmund decomposition is followed by explorations of the Hilbert transform and properties of harmonic functions. Additional topics include the Littlewood-Paley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.
商品描述(中文翻譯)
「非常好的選擇。」-- MathSciNet, 美國數學學會
本書探討了調和分析中幾個領域的統一，這本自成一體的教材強調實變數方法。適合高年級本科生和研究生使用，內容從經典的傅立葉級數開始，討論可和性、範數收斂及共軛函數。接著檢視哈迪-利特伍德最大函數和卡爾德爾 n-齊格蒙德分解，隨後探討希爾伯特變換及調和函數的性質。其他主題包括利特伍德-佩利理論、良好 λ 不等式、哈迪空間的原子分解、卡爾萊森測度、在利普希茨曲線上的柯西積分，以及邊值問題。1986 年版。
