1.

Record Nr.

UNINA9910828763403321

Autore

Keisler H. Jerome

Titolo

An infinitesimal approach to stochastic analysis / / H. Jerome Keisler

Pubbl/distr/stampa

Providence, R.I., USA : , : American Mathematical Society, , [1984]

©1984

ISBN

1-4704-0707-8

Descrizione fisica

1 online resource (196 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 297

Disciplina

519.2

Soggetti

Stochastic integral equations

Nonstandard mathematical analysis

Brownian motion processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 1984."

"Volume 48, number 297 (third of 4 numbers)."

Includes indexes.

Nota di bibliografia

Bibliography: pages 174-178.

Nota di contenuto

""Table of Contents""; ""Introduction""; ""Â1. Preliminaries""; ""Â2. Hyperfinite Stochastic Processes""; ""Â3. The Continuity Theorem""; ""Â4. Brownian Motions and Stochastic Processes""; ""Â5. Existence Theorems for Stochastic Integral Equations""; ""Â6. Properties of Solutions""; ""Â7. Lifting Theorems""; ""Â8. Uniform Lifting Theorems""; ""Â9. Internal Transformations""; ""Â10. Proof of an Existence Theorem""; ""Â11. Universality Theorems""; ""References""; ""Index of Definitions""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""

""T""""U""; ""W""; ""Index of Symbols""; ""Index of Authors""