Volterra Adventures
Author:   Joel H. Shapiro
Publisher:   American Mathematical Society
ISBN:  

9781470441166


Pages:   248
Publication Date:   30 July 2018
Format:   Paperback
Availability:   In Print   Availability explained
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Volterra Adventures


Overview

This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques--all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.

Full Product Details

Author:   Joel H. Shapiro
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.290kg
ISBN:  

9781470441166


ISBN 10:   1470441160
Pages:   248
Publication Date:   30 July 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

From Volterra to Banach: Starting out Springing ahead Springing higher Operators as points Travels with Titchmarsh: The Titchmarsh convolution theorem Titchmarsh finale Invariance through duality: Invariant subspaces Digging into duality Rendezvous with Riez V-invariance: Finale Uniform convergence $\mathbb{C}$omplex primer Uniform approximation by polynomials Riemann-Stieltjes primer Bibliography Index

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Author Information

Joel H. Shapiro, Portland State University, OR.

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Latest Reading Guide

NOV RG 20252

 

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