£77.99

Scientific Publishing Analysis on Gaussian Spaces - Scientific Publishing Book

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Description

Explore the complex transition from finite dimensional Euclidean space to infinite dimensional analysis. While the Lebesgue measure is fundamental to mathematics in finite dimensions, its absence in infinite dimensional spaces presents a significant mathematical challenge. This book addresses this gap by focusing on the Gaussian measure, the most widely used measure in infinite dimensional settings. Unified under the terminology of "abstract Wiener space," this text provides a comprehensive look at the field. It covers fundamental results and presents recent progress in the study of Gaussian spaces. This resource is designed for those studying functional analysis and mathematical analysis who need to understand how measures operate when moving beyond standard Euclidean dimensions. It serves as a specialized guide for navigating the mathematical landscape of infinite dimensional spaces through the lens of Gaussian measure and abstract Wiener space theory.

Key Features

Covers the transition from Lebesgue measure in finite dimensional Euclidean space to Gaussian measure in infinite dimensional spaces.

Provides a detailed look at the concept of abstract Wiener space to unify modern mathematical terminology.

Presents fundamental results alongside recent progress in the field of Gaussian space analysis.

Targets advanced mathematical study within the realms of functional analysis and mathematical analysis.

Offers a specialized perspective on the challenges of working without a Lebesgue measure in infinite dimensions.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
31 October 2016
Listed Since
10 May 2016

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No barcode data available

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