The Mathematical Heritage of Guido Weiss
暫譯: 圭多·韋斯的數學遺產
Hernández, Eugenio, Peloso, Marco Maria, Ricci, Fulvio
相關主題
商品描述
This work is a tribute to the life and work of Guido Weiss, a mathematician whose profound contributions shaped the field of harmonic analysis over a span of more than six decades. His groundbreaking research, from pioneering real and complex analysis to his later work on wavelets, continues to influence generations of scholars. More than just a researcher, Guido was a mentor, collaborator, and friend to many, creating a global community of mathematicians. His charisma and generosity fostered lasting professional and personal connections across continents, touching lives far beyond academia.
This volume features contributions of collaborators, students, and colleagues of Guido, who had a particularly intense relationship with him. From a heartfelt remembrance of Guido Weiss to advanced discussions on spectral synthesis and wavelet theory, this collection contains a diverse landscape of mathematical results.
Readers will delve into topics such as the compactness of bilinear commutators, the intricacies of analytic families in extrapolation theory, and the intersections of time-frequency analysis with modern learning techniques. With contributions to Hardy spaces, Haar multipliers, and crystalline measures, this book serves both as a tribute to past achievements and a beacon for future exploration.
商品描述(中文翻譯)
這本書是對數學家Guido Weiss的生活和工作的致敬，他在超過六十年的時間裡對調和分析領域做出了深遠的貢獻。他的開創性研究，從先驅性的實數和複數分析到後來的波形分析，持續影響著一代又一代的學者。Guido不僅是一位研究者，更是許多人的導師、合作者和朋友，創造了一個全球數學家的社群。他的魅力和慷慨促進了跨大陸的持久專業和個人聯繫，影響了遠超學術界的生活。
本卷收錄了Guido的合作者、學生和同事的貢獻，他們與他有著特別深厚的關係。從對Guido Weiss的真摯追憶到對光譜合成和小波理論的深入討論，這本合集包含了多樣的數學成果。
讀者將深入探討雙線性對易子的緊湊性、外推理論中解析族的複雜性，以及時間-頻率分析與現代學習技術的交集。這本書涵蓋了對Hardy空間、Haar乘子和晶體測度的貢獻，既是對過去成就的致敬，也是未來探索的燈塔。
作者簡介
Eugenio Hernández obtained his PhD from Washington University in St. Louis in 1981 under the guidance of Richard Rochberg and Guido Weiss. He has been a member of the faculty at Universidad Autónoma de Madrid, Spain, since 1982, where he is now a Professor of Mathematics. His research interests include the theory of wavelets and related systems such as frames, non-linear approximation, and invariant subspaces of unitary representations.
Marco Maria Peloso obtained his PhD from Washington University in St. Louis in 1990. He has been a Professor of Mathematical Analysis at the Università degli Studi di Milano since 2007 and was previously at the Politecnico di Torino. He has held visiting positions at Michigan State University, the University of Missouri - Columbia, Washington University in St. Louis, and the University of Arkansas - Fayetteville. His research interests are in harmonic analysis, complex analysis in one and several variables, and related areas.
Fulvio Ricci obtained his PhD from the University of Maryland in 1977 under the guidance of John Benedetto. He has been a Professor of Mathematical Analysis in Italy, first at the Politecnico di Torino and, since 2000, at the Scuola Normale Superiore di Pisa, where he is now Professor Emeritus. His research interests focus on harmonic analysis in Euclidean spaces and Lie groups.
Fernando Soria obtained his PhD under the supervision of Mitchell Taibleson and Guido Weiss at Washington University in St. Louis. His mathematical interests have followed those of Guido Weiss over the years, encompassing harmonic analysis, singular integrals, and wavelets. More recently, he has been working in the area of nonlocal partial differential equations. He has been a Professor of Mathematics at Universidad Autónoma de Madrid since 1992.
Anita Tabacco obtained her PhD from Washington University in St. Louis in 1986 under the guidance of Richard Rochberg and Guido Weiss. She has been a Professor of Mathematical Analysis at the Department of Mathematical Sciences at the Politecnico di Torino, Italy, since 1992. Her research interests include real and complex analysis, functional analysis, and harmonic analysis. She is also involved in the field of engineering education and university management.
作者簡介(中文翻譯)
Eugenio Hernández 於1981年在聖路易斯華盛頓大學獲得博士學位，指導教授為Richard Rochberg和Guido Weiss。自1982年以來，他一直是西班牙馬德里自治大學的教職員，目前擔任數學教授。他的研究興趣包括小波理論及相關系統，如框架、非線性逼近和單位表示的不變子空間。
Marco Maria Peloso 於1990年在聖路易斯華盛頓大學獲得博士學位。自2007年以來，他一直擔任米蘭大學的數學分析教授，之前在都靈理工大學任教。他曾在密歇根州立大學、密蘇里大學哥倫比亞分校、聖路易斯華盛頓大學和阿肯色大學費耶特維爾分校擔任訪問教授。他的研究興趣包括調和分析、一變量和多變量的複分析及相關領域。
Fulvio Ricci 於1977年在馬里蘭大學獲得博士學位，指導教授為John Benedetto。他曾在意大利擔任數學分析教授，最初在都靈理工大學，並自2000年以來在比薩高等師範學校任教，目前為名譽教授。他的研究興趣集中在歐幾里得空間和李群的調和分析上。
Fernando Soria 在聖路易斯華盛頓大學的Mitchell Taibleson和Guido Weiss指導下獲得博士學位。他的數學興趣隨著Guido Weiss的研究方向而變化，涵蓋調和分析、奇異積分和小波。最近，他在非局部偏微分方程領域進行研究。自1992年以來，他一直是馬德里自治大學的數學教授。
Anita Tabacco 於1986年在聖路易斯華盛頓大學獲得博士學位，指導教授為Richard Rochberg和Guido Weiss。自1992年以來，她一直在意大利都靈理工大學數學科學系擔任數學分析教授。她的研究興趣包括實分析、複分析、泛函分析和調和分析。她還參與工程教育和大學管理領域的工作。
