| 書目名稱 | Integral Geometry and Valuations | | 編輯 | Semyon Alesker,Joseph H.G. Fu,Eduardo Gallego,Gil | | 視頻video | http://file.papertrans.cn/469/468311/468311.mp4 | | 概述 | Offers a modern and self-contained introduction to integral geometry.Includes both the classical theory and some very recent progress in integral geometry.Presents in a unified and accessible way a co | | 叢書名稱 | Advanced Courses in Mathematics - CRM Barcelona | | 圖書封面 |  | | 描述 | In the last years there has been significant progress in the theory of valuations, which in turn has led to important achievements in integral geometry. This book originated from two courses delivered by the authors at the CRM and provides a self-contained introduction to these topics, covering most of the recent advances. The first part, by Semyon Alesker, provides an introduction to the theory of convex valuations with emphasis on recent developments. In particular, it presents the new structures on the space of valuations discovered after Alesker‘s irreducibility theorem. The newly developed theory of valuations on manifolds is also described. In the second part, Joseph H. G. Fu gives a modern introduction to integral geometry in the sense of Blaschke and Santaló. The approach is new and based on the notions and tools presented in the first part. This original viewpoint not only enlightens the classical integral geometry of euclidean space, but it also allows the computation of kinematic formulas in other geometries, such as hermitian spaces. The book will appeal to graduate students and interested researchers from related fields including convex, stochastic, and differential ge | | 出版日期 | Textbook 2014 | | 關(guān)鍵詞 | Hermitian spaces; convex sets; irreducibility theorem; kinematic formulas; valuations | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0874-3 | | isbn_softcover | 978-3-0348-0873-6 | | isbn_ebook | 978-3-0348-0874-3Series ISSN 2297-0304 Series E-ISSN 2297-0312 | | issn_series | 2297-0304 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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