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Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and its Applications, Series Number 61) 🔍
Helmut Groemer Cambridge University Press (Virtual Publishing), Cambridge University Press, Cambridge, 1996
英语 [en] · PDF · 17.1MB · 1996 · 📗 未知类型的图书 · 🚀/duxiu/ia · Save
描述
This Book Provides A Comprehensive Presentation Of Geometric Results, Primarily From The Theory Of Convex Sets, That Have Been Proved By The Use Of Fourier Series Or Spherical Harmonics. An Important Feature Of The Book Is That All Necessary Tools From The Classical Theory Of Spherical Harmonics Are Presented With Full Proofs. These Tools Are Used To Prove Geometric Inequalities, Stability Results, Uniqueness Results For Projections And Intersections By Hyperplanes Or Half-spaces And Characterisations Of Rotors In Convex Polytopes. Again, Full Proofs Are Given. To Make The Treatment As Self-contained As Possible The Book Begins With Background Material In Analysis And The Geometry Of Convex Sets. This Treatise Will Be Welcomed Both As An Introduction To The Subject And As A Reference Book For Pure And Applied Mathematics. H. Groemer. Includes Bibliographical References (p. 311-318) And Index.
备选作者
Groemer, Helmut
备用出版商
New York: Cambridge University Press
备用版本
Encyclopedia of mathematics and its applications ;, v. 61, Cambridge, New York, England, 1996
备用版本
Encyclopedia of mathematics and its applications, Cambridge, cop. 1996
备用版本
United Kingdom and Ireland, United Kingdom
元数据中的注释
Includes bibliographical references (p. [311]-318) and indexes.
备用描述
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians.
备用描述
xi, 329 p. ; 25 cm
Includes bibliographical references (p. [311]-318) and indexes
97 04 30
开源日期
2023-06-28
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