Tools for Infinite Dimensional Analysis

Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology. Unfortunately, the background information required to conduct research in these subjects presents a tremendous roadblock. The background material primarily stems from an abstract subject known as infinite dimensional topological vector spaces. While this information forms the backdrop for these subjects, the books and papers written about topological vector spaces were never truly written for researchers studying infinite dimensional analysis. Thus, the literature for topological vector spaces is dense and difficult to digest, much of it being written prior to the 1960s. Tools for Infinite Dimensional Analysis aims to address these problems by providing an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying the above-mentioned subjects. It will save current and future researchers countless hours and promote research in these areas by removing an obstacle in the path to beginning study in areas of infinite dimensional analysis. Features Focused approach to the subject matter Suitable for graduate students as well as researchers Detailed proofs of primary results Additional ISBNs100308897X, 0367543672, 0367543664, 9781003088974, 9780367543679, 9780367543662Tools for Infinite Dimensional Analysis 1st Edition is written by Jeremy J. Becnel and published by Chapman & Hall. ISBNs for Tools for Infinite Dimensional Analysis are 9781000328288, 1000328287 and the print ISBNs are 9780367543679, 0367543672. Additional ISBNs include 100308897X, 0367543672, 0367543664, 9781003088974, 9780367543679, 9780367543662.