Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (四元數希爾伯特空間與切片超全純函數)
Alpay, Daniel, Colombo, Fabrizio, Sabadini, Irene
- 出版商: Birkhauser Boston
- 出版日期: 2024-12-10
- 售價: $7,030
- 貴賓價: 9.5 折 $6,679
- 語言: 英文
- 頁數: 319
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031734297
- ISBN-13: 9783031734298
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相關分類:
Ionic
下單後立即進貨 (約1週~2週)
相關主題
商品描述
The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.
The book is divided into three parts. In the first part, some foundational material on quaternionic functions and functional analysis are introduced. The second part is the core of the book and contains various types of functions spaces ranging from the Hardy spaces, also in the fractional case, to the Fock space extended to the case of quaternions. The third and final part present some further generalization.
Researchers in functional analysis and hypercomplex analysis will find this book a key contribution to their field, but also researchers in mathematical physics, especially in quantum mechanics, will benefit from the insights presented.
商品描述(中文翻譯)
本書的目的是在切片超全純函數的背景下發展巴拿赫空間和希爾伯特空間的對應物。巴拿赫空間和希爾伯特空間中的解析函數,無論是在一個或多個複變數中,都在分析及相關領域中扮演著重要角色。除了其內在的興趣外,這些空間還有許多應用。
本書分為三個部分。第一部分介紹了一些四元數函數和泛函分析的基礎材料。第二部分是本書的核心,包含各種類型的函數空間,從哈代空間(包括分數情況)到擴展到四元數情況的福克空間。第三部分和最後一部分則呈現了一些進一步的概括。
從事泛函分析和超複分析的研究者將會發現本書對他們的領域是一項重要貢獻,而數學物理學的研究者,特別是在量子力學方面,也將從所呈現的見解中受益。
作者簡介
Daniel Alpay, Foster G. and Mary McGaw Professorship in Mathematical Sciences, Chapman University
Fabrizio Colombo is professor at the Politecnico di Milano, Italy.
Irene Sabadini is professor at the Politecnico di Milano, Italy.
作者簡介(中文翻譯)
丹尼爾·阿爾派(Daniel Alpay),查普曼大學數學科學的福斯特·G·和瑪麗·麥高教授席。
法布里齊奧·科倫博(Fabrizio Colombo)是意大利米蘭理工大學的教授。
艾琳·薩巴迪尼(Irene Sabadini)是意大利米蘭理工大學的教授。