Heat kernel and analysis on manifolds

＜図書＞
Heat kernel and analysis on manifolds

責任表示	Alexander Grigorʹyan
シリーズ	AMS/IP studies in advanced mathematics ; v. 47
データ種別	図書
出版情報	Providence, R.I. : American Mathematical Society [S.l.] : International Press , c2009
本文言語	英語
大きさ	xvii, 482 p. : ill. ; 27 cm
概要	Grigor'yan's textbook offers graduate students an accessible introduction to the geometric analysis of the Laplace operator and the heat equation on Riemannian manifolds, and is designed to bridge the...gap between the foundations of the subject and the current research. The text focuses on five main areas: local geometric background, spectral-theoretic properties, Markovian properties and maximum principles, smoothness properties, and global geometric aspects. Includes some 400 exercises; solutions are provided at a companion website. The author has been affiliated with several institutions of higher education including U. of Bielefeld, Germany, and the Imperial College London, UK. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com) 続きを見る

一般注記	"Devoted to the study of the heat equation and the heat kernel of Laplace operator on Riemannian manifolds"--Pref., p. xi Includes bibliographical references (p. 457-473) and index
著者標目	*Grigoryan, A. (Alexander)
件　名	LCSH:Heat equation LCSH:Kernel functions LCSH:Riemannian manifolds LCSH:Gaussian processes
分　類	LCC:QA377 DC22:515/.353
書誌ID	1001408187
ISBN	9780821893937
NCID	BB00216077
巻冊次	ISBN:9780821893937 ; XISBN:9780821849354
登録日	2009.12.14
更新日	2015.10.27