Infinite-dimensional analysis : (Record no. 43929)

MARC details
000 -LEADER
fixed length control field 02220nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field CUTN
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250117101259.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250117b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789811225772
041 ## - LANGUAGE CODE
Language English
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 23
Classification number 515.7
Item number JOR
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Jorgensen, Palle E. T.
245 ## - TITLE STATEMENT
Title Infinite-dimensional analysis :
Remainder of title operators in Hilbert space ; stochastic calculus via representations, and duality theory /
Statement of responsibility, etc Palle E. T. Jørgensen (Author), James F. Tian (Author)
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Singapore :
Name of publisher, distributor, etc World Scientific Publishing Co. Pte. Ltd.,
Date of publication, distribution, etc 2021.
300 ## - PHYSICAL DESCRIPTION
Extent xvii, 234 pages :
Other physical details illustrations;
Dimensions 9 x 6 x 0.63 in (22.86 x 15.24 x 1.60 cm)
505 ## - FORMATTED CONTENTS NOTE
Title Analysis in Hilbert space : linear operators in Hilbert space with emphasis on the case of unbounded operators<br/>Infinite-dimensional algebraic systems : Lie algebras, algebras with involution (*-algebras), and the canonical commutation relations (CCRs)<br/>Representation theory, with emphasis on the case of the CCRs<br/>Gaussian stochastic processes : Gaussian fields and their realizations<br/>Infinite-dimensional stochastic analysis : white noise analysis and generalized Itô calculus<br/>Representations of the CCRs realized as Gaussian fields and Malliavin derivatives<br/>Intertwining operators and their realizations in stochastic analysis<br/>Applications
520 ## - SUMMARY, ETC.
Summary, etc The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Tian, James F. (Author)
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type General Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Location Shelving location Date of Cataloging Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Non-fiction CUTN Central Library CUTN Central Library Sciences 17/01/2025   515.7 JOR 50344 17/01/2025 17/01/2025 General Books