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Applied Hyperfunction Theory

Overview of attention for book
Cover of 'Applied Hyperfunction Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Operations on Hyperfunctions
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    Chapter 3 Basic Hyperfunctions
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    Chapter 4 Hyperfunctions Depending on Parameters
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    Chapter 5 Fourier Transformation
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    Chapter 6 Fourier Transformation of Power-Type Hyperfunctions
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    Chapter 7 Upper (Lower)-Type Hyperfunctions
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    Chapter 8 Fourier Transforms-Existence and Regularity
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    Chapter 9 Fourier Transform-Asymptotic Behaviour
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    Chapter 10 Periodic Hyperfunctions and Fourier Series Fourier Series
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    Chapter 11 Analytic Continuation and Projection of Hyperfunctions
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    Chapter 12 Product of Hyperfunctions
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    Chapter 13 Convolution of Hyperfunctions
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    Chapter 14 Convolution of Periodic Hyperfunctions
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    Chapter 15 Hilbert Transforms and Conjugate Hyperfunctions
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    Chapter 16 Poisson-Schwarz Integral Formulae
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    Chapter 17 Integral Equations
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    Chapter 18 Laplace Transforms
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    Chapter 19 Epilogue
Attention for Chapter 16: Poisson-Schwarz Integral Formulae
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