Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


An Introduction to Infinite-Dimensional Analysis (Record no. 425240)

000 -LEADER
fixed length control field 03308nam a22005175i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783540290216
-- 978-3-540-29021-6
024 7# -
-- 10.1007/3-540-29021-4
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA319-329.9
072 #7 -
-- PBKF
-- bicssc
072 #7 -
-- MAT037000
-- bisacsh
072 #7 -
-- PBKF
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 515.7
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Prato, Giuseppe Da.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 13 - TITLE STATEMENT
Title An Introduction to Infinite-Dimensional Analysis
Medium [electronic resource] /
Statement of responsibility, etc by Giuseppe Da Prato.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg,
Date of production, publication, distribution, manufacture 2006.
300 ## -
-- X, 208 p.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Universitext,
-- 0172-5939
505 0# -
-- Gaussian measures in Hilbert spaces -- The Cameron–Martin formula -- Brownian motion -- Stochastic perturbations of a dynamical system -- Invariant measures for Markov semigroups -- Weak convergence of measures -- Existence and uniqueness of invariant measures -- Examples of Markov semigroups -- L2 spaces with respect to a Gaussian measure -- Sobolev spaces for a Gaussian measure -- Gradient systems.
520 ## -
-- In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction – for an audience knowing basic functional analysis and measure theory but not necessarily probability theory – to analysis in a separable Hilbert space of infinite dimension. Starting from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.
650 #0 -
-- Functional analysis.
650 #0 -
-- Distribution (Probability theory.
650 #0 -
-- Differential equations, partial.
650 14 -
-- Functional Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12066
650 24 -
-- Probability Theory and Stochastic Processes.
-- http://scigraph.springernature.com/things/product-market-codes/M27004
650 24 -
-- Partial Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12155
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783540815907
776 08 -
-- Printed edition:
-- 9783540290209
776 08 -
-- Printed edition:
-- 9783642421686
830 #0 -
-- Universitext,
-- 0172-5939
856 40 -
-- https://doi.org/10.1007/3-540-29021-4
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

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