Regularised integrals, sums and traces : an analytic point of view

＜図書＞
Regularised integrals, sums and traces : an analytic point of view

責任表示	Sylvie Paycha
シリーズ	University lecture series ; v. 59
データ種別	図書
出版情報	Providence : American Mathematical Society , c2012
本文言語	英語
大きさ	x, 190 p. ; 26 cm
概要	Paycha seeks to clarify some aspects of regularization techniques, which are used to make sense of divergent integrals, discrete sums, or traces. There is nothing groundbreaking here, she says, just a...unified perspective based on pedestrian proofs on results scattered in the physics and mathematics literature. Among her topics are the gamma function extended to non-positive integer points, the non-commutative residue as a complex residue, the canonical sum on non-integer order classical symbols, weighted traces, and anomalies of regularized determinants. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com) 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6988969

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
	: pbk	理系図3F 数理独自	PAYC/10/1	2012		033212012007101		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. 183-187) and index
著者標目	Paycha, Sylvie
件　名	LCSH:Functions, Zeta LCSH:L-functions LCSH:Convergence LCSH:Integrals FREE:Number theory -- Zeta and $L$-functions: analytic theory -- $¥zeta (s)$ and $L(s, ¥chi)$. msc 全ての件名で検索 FREE:Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of integrals. msc 全ての件名で検索 FREE:Operator theory -- Linear spaces and algebras of operators -- Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.). msc 全ての件名で検索 FREE:Quantum theory -- Quantum field theory; related classical field theories -- Anomalies. msc 全ての件名で検索 FREE:Numerical analysis -- Acceleration of convergence -- Euler-Maclaurin formula. msc 全ての件名で検索
分　類	LCC:QA351 DC23:512.7/3
書誌ID	1001497564
ISBN	9780821853672
NCID	BB11204080
巻冊次	: pbk ; ISBN:9780821853672
登録日	2013.01.29
更新日	2017.02.18