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Distributions and Operators

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Cover of 'Distributions and Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Motivation and overview
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    Chapter 2 Function spaces and approximation
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    Chapter 3 Distributions. Examples and rules of calculus
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    Chapter 4 Realizations and Sobolev spaces
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    Chapter 5 Fourier transformation of distributions
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    Chapter 6 Applications to differential operators. The Sobolev theorem
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    Chapter 7 Pseudodifferential operators on open sets
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    Chapter 8 Pseudodifferential operators on manifolds, index of elliptic operators
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    Chapter 9 Boundary value problems in a constant-coefficient case
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    Chapter 10 Pseudodifferential boundary operators
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    Chapter 11 Pseudodifferential methods for boundary value problems
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    Chapter 12 Unbounded linear operators
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    Chapter 13 Families of extensions
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    Chapter 14 Semigroups of operators
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