OXFORD UNIVERSITY PRESS

The General Theory of Integration

ISBN : 9780198535669

参考価格(税込): 
¥17,710
著者: 
Ralph Henstock
ページ
274 ページ
フォーマット
Hardcover
サイズ
163 x 237 mm
刊行日
1991年05月
シリーズ
Oxford Mathematical Monographs
メール送信
印刷

Written by one of the subject's foremost experts, this is the first book on division space integration theory. It is intended to present a unified account of many classes of integrals including the Lebesgue-Bochner, Denjoy-Perron gauge, Denjoy-Hincin, Cesaro-Perron, and Marcinkiewicz-Zygmund integrals. Professor Henstock develops here the general axiomatic theory of Riemann-type integration from first principles in such a way that familiar classes of integrals (such as Lebesgue and Wiener integrals) are subsumed into the general theory in a systematic fashion. In particular, the theory seeks to place Feynman integration on a secure analytical footing. By adopting an axiomatic approach, proofs are, in general, simpler and more transparent than have previously appeared. The author also shows how one proof can prove corresponding results for a wide variety of integrals. As a result, this book will be the central reference work in this subject for many years to come.

目次: 

Introduction and prerequisites
Division systems and division spaces
Generalized Riemann and variational integration in division systems and division spaces
Limits under the integral sign, functions depending on a parameter
Differentiation
Cartesian products of a finite number of division systems (spaces)
Integration in infinite-dimensional spaces
Perron-type, Ward-type, and convergence-factor integrals
Functional analysis and integration theory
References.

このページに掲載の「参考価格」は日本国内における希望小売価格です。当ウェブサイトでのご購入に対して特別価格が適用される場合、販売価格は「割引価格」として表示されます。なお、価格は予告なく変更されることがございますので、あらかじめご了承ください。