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Category: Mathematics  Gaussian Measures in Finite and Infinite Dimensions (Universitext) free ebook download

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Author(s): Daniel W. Stroock Date: 2024 Format: pdf Language: English ISBN/ASIN: 303123121X   Pages: 156 OCR: Quality: ISBN13:   Uploader: risotor Upload Date: 9/17/2023 5:12:23 AM       To download click on link in the Links Table below                                                                        Description: Click to see full description This text provides a concise introduction, suitable for a one-semester special topicscourse, to the remarkable properties of Gaussian measures on both finite and infinitedimensional spaces. It begins with a brief resum of probabilistic results in which Fourieranalysis plays an essential role, and those results are then applied to derive a few basicfacts about Gaussian measures on finite dimensional spaces. In anticipation of the analysisof Gaussian measures on infinite dimensional spaces, particular attention is given to thoseproperties of Gaussian measures that are dimension independent, and Gaussian processesare constructed. The rest of the book is devoted to the study of Gaussian measures onBanach spaces. The perspective adopted is the one introduced by I. Segal and developedby L. Gross in which the Hilbert structure underlying the measure is emphasized.The contents of this book should be accessible to either undergraduate or graduatestudents who are interested in probability theory and have a solid background in Lebesgueintegration theory and a familiarity with basic functional analysis. Although the focus ison Gaussian measures, the book introduces its readers to techniques and ideas that haveapplications in other contexts. Read more Links Table     Title Link Password Size (MB) Thank to Inform Admin 3201827 Book https://rapidgator.net/file/4d1737ccdbe8...   0.00 risotor Tags: Dimensions Finite Gaussian Infinite Measures Universitext Title Link Password Size Reason Dead link New format   Those who downloaded this book also downloaded the following books: Comments New comment:

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