National Science Library of Georgia

Gaussian Hilbert spaces / (Record no. 517965)

MARC details
000 -LEADER
fixed length control field 02632nam a22003858i 4500
001 - CONTROL NUMBER
control field CR9780511526169
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160235.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090407s1997||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511526169 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521561280 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521057202 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA273.6
Item number .J36 1997
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 21
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Janson, Svante,
Relator term author.
245 10 - TITLE STATEMENT
Title Gaussian Hilbert spaces /
Statement of responsibility, etc Svante Janson.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 1997.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (x, 340 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 129
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Ch. 1. Gaussian spaces -- Ch. 2. Wiener chaos -- Ch. 3. Wick products -- Ch. 4. Tensor products and Fock space -- Ch. 5. Hypercontractivity -- Ch. 6. Variables with finite chaos decompositions -- Ch. 7. Stochastic integration -- Ch. 8. Gaussian stochastic processes -- Ch. 9. Conditioning -- Ch. 10. Pairs of Gaussian subspaces -- Ch. 11. Limit theorems for generalized U-statistics -- Ch. 12. Applications to operator theory -- Ch. 13. Some operators from quantum physics -- Ch. 14. The Cameron Martin shift -- Ch. 15. Malliavin calculus -- Ch. 16. Transforms -- App. A. The monotone class theorem -- App. B. Stochastic processes -- App. C. Banach-space-valued functions and random variables -- App. D. Polarization -- App. E. Tensor products -- App. F. Reproducing Hilbert Spaces -- App. G. Analytic functions in Banach spaces -- App. H. Hilbert-Schmidt operators and singular numbers.
520 ## - SUMMARY, ETC.
Summary, etc This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Gaussian distribution.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hilbert space.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of complex variables.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521561280
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 129.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511526169">https://doi.org/10.1017/CBO9780511526169</a>

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