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Theorems and Problems in Functional Analysis
Chapter IV
The Fourier Transform and Elements of Harmonic Analysis
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107
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IV.1 · Convolutions on an Abelian Group
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IV.2 · The Fourier Transform
Section IV.1
Convolutions on an Abelian Group
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Subsection IV.1.1
Convolutions of Test Functions
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Subsection IV.1.2
Convolutions of Generalized Functions
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Section IV.2
The Fourier Transform
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Subsection IV.2.1
Characters of an Abelian Group
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Subsection IV.2.2
Fourier Series
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Subsection IV.2.3
The Fourier Integral
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Subsection IV.2.4
The Fourier Transform of Generalized Functions
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