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Direct and Inverse Sturm-Liouville Problems

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Cover of 'Direct and Inverse Sturm-Liouville Problems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Preliminaries on Sturm-Liouville Equations
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    Chapter 3 Direct and Inverse Sturm-Liouville Problems on Finite Intervals
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    Chapter 4 Direct and Inverse Sturm-Liouville Problems on a Half-Line
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    Chapter 5 Quantum Scattering Problem on the Half-Line
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    Chapter 6 Scattering Problem on the Line
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    Chapter 7 Inverse Scattering Transform Method
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    Chapter 8 Main Transmutation Operators
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    Chapter 9 Construction of Transmutations and Series Representations for Solutions
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    Chapter 10 Series Representations for the Kernel A ( x , t ) and for the Jost Solution
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    Chapter 11 Sturm–Liouville Problems on Finite Intervals
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    Chapter 12 Spectral Problems on Infinite Intervals
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    Chapter 13 The Inverse Sturm–Liouville Problem on a Finite Interval
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    Chapter 14 Solution of the Inverse Problem on the Half-Line
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    Chapter 15 Solution of the Inverse Quantum Scattering Problem on the Half-Line
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    Chapter 16 Solution of the Inverse Scattering Problem on the Line
Attention for Chapter 3: Direct and Inverse Sturm-Liouville Problems on Finite Intervals
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