Advances in Analysis: The Legacy of Elias M. Stein
暫譯: 分析的進展:伊萊亞斯·M·斯坦的遺產

Fefferman, Charles, Ionescu, Alexandru D., Phong, D. H.

  • 出版商: Princeton University Press
  • 出版日期: 2014-01-05
  • 售價: $5,120
  • 貴賓價: 9.5$4,864
  • 語言: 英文
  • 頁數: 480
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0691159416
  • ISBN-13: 9780691159416
  • 相關分類: 數學
  • 無法訂購

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商品描述

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein's contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein's students. The book also includes expository papers on Stein's work and its influence.

The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru D. Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.

商品描述(中文翻譯)

普林斯頓大學的 Elias Stein 是第一位看到經典傅立葉分析與多變數複變數及表示理論之間深刻聯繫的數學家。他的基本貢獻包括 Kunze-Stein 現象、新表示的構造、Stein 插值定理、傅立葉變換的限制定理概念,以及多變數的 Hp 空間理論。通過他的偉大發現、設立數學表述最高標準的書籍,以及對許多合作者和學生的影響,Stein 改變了數學。這本書受到 Stein 在調和分析及相關主題貢獻的啟發,匯集了來自國際知名數學家的論文,其中許多人曾是 Stein 的學生。該書還包括關於 Stein 的工作及其影響的解說性論文。

貢獻者包括 Jean Bourgain、Luis Caffarelli、Michael Christ、Guy David、Charles Fefferman、Alexandru D. Ionescu、David Jerison、Carlos Kenig、Sergiu Klainerman、Loredana Lanzani、Sanghyuk Lee、Lionel Levine、Akos Magyar、Detlef Müller、Camil Muscalu、Alexander Nagel、D. H. Phong、Malabika Pramanik、Andrew S. Raich、Fulvio Ricci、Keith M. Rogers、Andreas Seeger、Scott Sheffield、Luis Silvestre、Christopher D. Sogge、Jacob Sturm、Terence Tao、Christoph Thiele、Stephen Wainger 和 Steven Zelditch。

作者簡介

Charles Fefferman and Alexandru D. Ionescu are professors of mathematics at Princeton University. D. H. Phong is professor of mathematics at Columbia University. Stephen Wainger is professor emeritus of mathematics at the University of Wisconsin-Madison.

作者簡介(中文翻譯)

查爾斯·費佛曼(Charles Fefferman)和亞歷山德魯·D·伊奧內斯庫(Alexandru D. Ionescu)是普林斯頓大學的數學教授。D·H·豐(D. H. Phong)是哥倫比亞大學的數學教授。史蒂芬·韋因格(Stephen Wainger)是威斯康辛大學麥迪遜分校的名譽數學教授。