| 书目名称 | The Functional Calculus for Sectorial Operators | | 编辑 | Markus Haase | | 视频video | | | 概述 | First systematic account of functional calculus for sectorial (and other types of unbounded) operators.Emphasizes the calculus aspect of the matter, thus paving the way for making functional calculus | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | .The present monograph deals with the functional calculus for unbounded operators in general and for sectorial operators in particular. Sectorial operators abound in the theory of evolution equations, especially those of parabolic type. They satisfy a certain resolvent condition that leads to a holomorphic functional calculus based on Cauchy-type integrals. Via an abstract extension procedure, this elementary functional calculus is then extended to a large class of (even meromorphic) functions...With this functional calculus at hand, the book elegantly covers holomorphic semigroups, fractional powers, and logarithms. Special attention is given to perturbation results and the connection with the theory of interpolation spaces. A chapter is devoted to the exciting interplay between numerical range conditions, similarity problems and functional calculus on Hilbert spaces. Two chapters describe applications, for example to elliptic operators, to numerical approximations of parabolic equations, and to the maximal regularity problem...This book is the first systematic account of a subject matter which lies in the intersection of operator theory, evolution equations, and harmonic analysis | | 出版日期 | Book 2006 | | 关键词 | Hilbert space; Operator theory; function space; functional analysis; functional calculus; interpolation; s | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7698-8 | | isbn_ebook | 978-3-7643-7698-7Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Birkhäuser Basel 2006 |
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发表于 2025-3-21 17:41:01
