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Product Details 基本信息 ISBN-13 书号 9783030134228 Author 作者 Rafael G. Campos Format 版本 精装 Pages Number 页数 235页 Publisher 出版社 Birkhaeuser Verlag Basel Publication Date 出版日期 2019-05-20 Language 语种 英语 Book Contents 内容简介 This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform.In turn, the book’s second goal is to present the XFT matrix as a finite-dimensional transformation that link
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Product Details 基本信息 ISBN-13 书号 9783540773986 Author 作者 Rafael Stekolshchik Format 版本 精装 Pages Number 页数 240页 Publisher 出版社 Springer Berlin Heidelberg Publication Date 出版日期 2008-02-11 Shipping Weight 商品重量 555g Language 语种 英语 Book Contents 内容简介 One of the beautiful results in the representation theory of the finite groups is McKay’s theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram. The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated with the Cartan matrix and Poincaré series. The Coxeter functors constructed by Bernstein, Gelfand and Ponomarev plays a distinguished role in the representation theory of quivers. On these pages, the ideas and formulas due to J. N. Bernstein, I. M. Gelfand and V. A. Ponoma
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