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