{"product_id":"9783031231216","title":"Universitext","description":"\u003ch1\u003eUniversitext\u003c\/h1\u003e \u003ch2\u003eStroock, Daniel W.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003eThis text provides a concise introduction, suitable for a one-semester special topics\u003c\/div\u003e\u003cdiv\u003ecourse, to the remarkable properties of Gaussian measures on both finite and infinite\u003c\/div\u003e\u003cdiv\u003edimensional spaces. It begins with a brief resumé of probabilistic results in which Fourier\u003c\/div\u003e\u003cdiv\u003eanalysis plays an essential role, and those results are then applied to derive a few basic\u003c\/div\u003e\u003cdiv\u003efacts about Gaussian measures on finite dimensional spaces. In anticipation of the analysis\u003c\/div\u003eof Gaussian measures on infinite dimensional spaces, particular attention is given to those\u003cdiv\u003eproperties of Gaussian measures that are dimension independent, and Gaussian processes\u003c\/div\u003e\u003cdiv\u003eare constructed. The rest of the book is devoted to the study of Gaussian measures on\u003c\/div\u003e\u003cdiv\u003eBanach spaces. The perspective adopted is the one introduced by I. Segal and developed\u003c\/div\u003e\u003cdiv\u003eby L. Gross in which the Hilbert structure underlying the measure is emphasized.\u003c\/div\u003eThe contents of this bookshould be accessible to either undergraduate or graduate\u003cdiv\u003estudents who are interested in probability theory and have a solid background in Lebesgue\u003c\/div\u003e\u003cdiv\u003eintegration theory and a familiarity with basic functional analysis. Although the focus is\u003c\/div\u003e\u003cdiv\u003eon Gaussian measures, the book introduces its readers to techniques and ideas that have\u003c\/div\u003e\u003cdiv\u003eapplications in other contexts.\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2023-02-16\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031231216\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-23122-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 144\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45987086499980,"sku":"9783031231216","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031231216.jpg?v=1775729349","url":"https:\/\/lateknightbooks.com\/products\/9783031231216","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}