Analysis in Banach Spaces: Volume III: Harmonic Analysis and Spectral Theory
Hytönen, Tuomas, Van Neerven, Jan, Veraar, Mark
- 出版商: Springer
- 出版日期: 2023-12-08
- 售價: $6,730
- 貴賓價: 9.5 折 $6,394
- 語言: 英文
- 頁數: 826
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031465970
- ISBN-13: 9783031465970
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商品描述
This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
商品描述(中文翻譯)
《Banach空間分析》第三卷系統地介紹了Banach空間值的奇異積分、傅立葉變換和函數空間。它進一步發展和細分了第二卷中的函數計算理論，並描述了這些新概念和工具應用於演化方程的最大正則性問題。本書提供了對大量結果的統一處理，其中許多結果以前只能在研究論文中找到。一些更經典的主題以新穎的方式呈現，使用了適合向量值處理的現代技術。由於其易於理解的風格和完整詳細的證明，本書將成為對功能分析、調和分析和運算子理論方法於確定性和隨機演化方程感興趣的研究人員的寶貴參考資料。
作者簡介
Tuomas Hytönen is Professor at the University of Helsinki. A leading expert in Harmonic Analysis with over 100 research papers, he was educated at Helsinki University of Technology and spent a postdoc year at Delft University of Technology. He received a European Research Council Starting Grant in 2011 and gave an invited address to the International Congress of Mathematicians in 2014.
Jan van Neerven is Professor of Analysis at Delft University of Technology. Author of more than 120 research papers and two monographs, he is a leading expert in Operator Theory and Stochastic Analysis. He held post-doctoral positions at Caltech and Tübingen University. He was awarded a Human Capital and Mobility fellowship, a fellowship of the Royal Dutch Academy of Arts and Sciences, and VIDI and VICI subsidies from the Netherlands Organisation for Scientific Research.
Mark Veraar is Professor at Delft University of Technology. Author of over 80 research papers, he is a leading researcher in the theory of evolution equations and stochastic partial differential equations. He held post-doctoral positions at the Universities of Warsaw and Karlsruhe, the latter with a Alexander von Humboldt Fellowship. He is the recipient of VENI, VIDI, and VICI grants from the Netherlands Organisation for Scientific Research.
Lutz Weis, a Professor Emeritus at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 90 research papers and a monograph. Since receiving his PhD from University of Bonn, he was a professor at Louisiana State University and visiting professor at TU Berlin as well as Universities of Kiel, South Carolina and Minnesota. He organized a Marie Curie training site and is currently a member of a DFG Graduiertenkolleg.
作者簡介(中文翻譯)
Tuomas Hytönen是赫爾辛基大學的教授。作為一位在調和分析領域擁有100多篇研究論文的領先專家，他在赫爾辛基理工大學接受教育，並在代爾夫特理工大學度過了一年的博士後。他於2011年獲得歐洲研究理事會的起始資助，並於2014年向國際數學家大會發表了邀請演講。
Jan van Neerven是代爾夫特理工大學的分析學教授。他是超過120篇研究論文和兩本專著的作者，是運算子理論和隨機分析領域的領先專家。他曾在加州理工學院和圖賓根大學擔任博士後職位。他獲得了人力資本和流動性獎學金、荷蘭皇家藝術與科學學院的獎學金，以及荷蘭科學研究組織的VIDI和VICI資助。
Mark Veraar是代爾夫特理工大學的教授。他是進化方程和隨機偏微分方程理論領域的領先研究者，發表了80多篇研究論文。他曾在華沙大學和卡爾斯魯厄大學擔任博士後職位，後者還獲得了亞歷山大·馮·洪堡基金會的獎學金。他是荷蘭科學研究組織的VENI、VIDI和VICI資助的獲得者。
Lutz Weis是卡爾斯魯厄理工學院的名譽教授，是運算子理論和進化方程的高級研究員。他發表了90多篇研究論文和一本專著。自從在波恩大學獲得博士學位以來，他曾在路易斯安那州立大學擔任教授，並在柏林理工大學以及基爾、南卡羅來納和明尼蘇達大學擔任訪問教授。他組織了一個瑪麗居里培訓基地，目前是一個DFG研究生學院的成員。
