Symmetric Hilbert Spaces and Related Topics01-front-matter精选.pdfVIP

Lecture Notes in Mathematics A collection of informal reports and seminars Edited by A. Dold, Heidelberg and B. Eckmann,Z(Jrich 261 Alain Guichardet Facult6 des Sciences de Poitiers, France Symmetric Hilbert Spaces and Related Topics Infinitely Divisible Positive Definite Functions Continuous Products and Tensor Products Gaussian and Poissonian Stochastic Processes Springer-Verlag Berlin.Heidelberg New York 1972 A M S Subject Classifications (1970): 4 6 C 1 0 , 4 6 M 0 5 , 6 0 G 1 5 , 81A20 I S B N 3-540-05803-6 Springer-Verlag Berlin • H e i d e l b e r g - N e w Y o r k I S B N 0-387-05803-6 Springer-Vertag N e w Y o r k • H e i d e l b e r g - Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin - Heidelberg 1972.Library of Congress Catalog Card Number 72-76390. Printed in Germany. Offsetdruck: Julius Beltz, Hemsbach/Bergstr. Table of Content Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . Chapter I. The symmetric measure space of a measure space. . . 3 1.1. The symmetric set of a set . . . . . . . . . . . 3 1.2. The functor S on the category of sets 4 1.3. The