| Document Type
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BL
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| Record Number
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850295
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| Main Entry
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Shapiro, Joel H.
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| Title & Author
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Volterra adventures /\ Joel H. Shapiro.
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| Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2018]
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, ©2018
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| Series Statement
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Student mathematical library ;; volume 85
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| Page. NO
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xvi, 219 pages :: illustrations ;; 22 cm.
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| ISBN
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1470441160
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: 9781470441166
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| Bibliographies/Indexes
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Includes bibliographical references (pages 213-216) and index.
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| Contents
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Part 1. From Volterra to Banach -- Part 2. Travels with Titchmarsh -- Part 3. Invariance Through Duality.
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| Abstract
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"This book introduces functional analysis to undergraduate mathematics students who possess an 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."--Page 4 of cover.
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| Subject
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Convolutions (Mathematics)
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Functional analysis.
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| Subject
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Volterra equations.
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Convolutions (Mathematics)
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| Subject
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Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.).
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| Subject
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Functional analysis.
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Integral equations -- Instructional exposition (textbooks, tutorial papers, etc.).
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| Subject
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Volterra equations.
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| Dewey Classification
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515/.45
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| LC Classification
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QA431.S4755 2018
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| NLM classification
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45-01.msc
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46-0145-01msc
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