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Random fields on the sphere : representation, limit theorems and cosmological applications

저자: Domenico Marinucci; Giovanni Peccati
출판사: Cambridge, UK ; New York : Cambridge University Press, 2011.
시리즈: London Mathematical Society lecture note series, 389.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
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"Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral
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장르/형태: Electronic books
추가적인 물리적 형식: Print version:
Marinucci, Domenico, 1968-
Random fields on the sphere.
Cambridge, UK ; New York : Cambridge University Press, 2011
(DLC) 2011023821
(OCoLC)707967598
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Domenico Marinucci; Giovanni Peccati
ISBN: 9781139128148 1139128140 9780511751677 0511751672 1139115316 9781139115315
OCLC 번호: 768771958
설명: 1 online resource (ix, 341 p.) : ill.
내용: Introduction --
Background results in representation theory --
Representations of SO(3) and harmonic analysis on S² --
Background results in probability and graphical methods --
Spectral representations --
Characterizations of isotropy --
Limit theorems for Gaussian subordinated random fields --
Asymptotics for the sample power spectrum --
Asymptotics for sample bispectra --
Spherical needlets and their asymptotic properties --
Needlets estimation of power spectrum and bispectrum --
Spin random fields.
일련 제목: London Mathematical Society lecture note series, 389.
책임: Domenico Marinucci, Giovanni Peccati.
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Reviews recent developments in the analysis of isotropic spherical random fields, with a view towards applications in cosmology.  더 읽기…

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