Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems: Chapman University, January 2024
暫譯: 舒爾分析及其在超複雜分析、神經網絡與線性系統中的應用：查普曼大學，2024年1月

本卷收錄了2024年1月在查普曼大學舉行的有關Schur分析及其應用的會議中選出的貢獻。這些論文由該領域的領先研究人員撰寫，分為四個部分：函數理論、調和分析和算子理論；Schur分析和信號處理；超複雜分析；以及無限維分析、概率和非交換理論。本卷將成為數學家和其他研究人員了解Schur分析最新發展及應用的重要資源。

Daniel Alpay was born in Paris, France and has a double formation of electrical engineer (Telecom Paris) and theoretical mathematics (Weizmann Institute, Rehovot, Israel). His research interests lie in hypercomplex analysis, operator theory, stochastic processes (in particular in the setting of infinite dimensional analysis), and mathematical physics. He has written a number of research books and more than 310 papers. Building on his research, he wrote three exercises books, two of them on complex analysis. He was a chaired professor at Ben-Gurion University (Beer-Sheva, Israel) and is now Professor at Chapman University (Orange, California), where he holds the Foster G. and Mary McGaw Professorship in Mathematical Sciences.

Adrian Vajiac's interests include the geometry and invariants of 4-manifolds, mathematical physics, topological quantum field theories, and hypercomplex analysis. He wrote two books and several papers in these directions and is now Co-Director of the Computational and Data Science Program at Chapman University, Orange, CA.

Mihaela Vajiac was born in Targoviste, Romania, and completed magna cum laude both her undergraduate degree at the University of Bucharest and her PhD at Boston University. Her research interests include Symplectic Geometry, Integrable Systems, and Hypercomplex Analysis, and she has been a co-editor to five similar volumes. She is now Director of the Center of Complex and Hypercomplex Analysis and Program Director of Mathematics at Chapman University, Orange, CA.

丹尼爾·阿爾派（Daniel Alpay）出生於法國巴黎，擁有電機工程（巴黎電信學院）和理論數學（以色列雷霍沃特魏茲曼科學研究所）的雙重學位。他的研究興趣包括超複分析、算子理論、隨機過程（特別是在無限維分析的背景下）以及數學物理。他撰寫了多本研究書籍和超過310篇論文。在他的研究基礎上，他編寫了三本習題集，其中兩本專注於複分析。他曾擔任以色列本古里安大學的講座教授，現在是加州查普曼大學的教授，並擔任數學科學的福斯特·G·和瑪麗·麥高教授職位。

阿德里安·瓦伊亞克（Adrian Vajiac）的興趣包括四維流形的幾何和不變量、數學物理、拓撲量子場論以及超複分析。他在這些方向上撰寫了兩本書和幾篇論文，現在是加州查普曼大學計算與數據科學計劃的共同主任。

米哈伊拉·瓦伊亞克（Mihaela Vajiac）出生於羅馬尼亞塔爾戈維什特，並在布加勒斯特大學獲得學士學位和在波士頓大學獲得博士學位，均以優異成績（magna cum laude）畢業。她的研究興趣包括辛幾何、可積系統和超複分析，並曾擔任五本類似書籍的共同編輯。她現在是加州查普曼大學複雜與超複分析中心的主任以及數學項目的主任。