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Fourier Transforms in the Complex Domain

About this Title

N. Wiener and R. C. Paley

Publication: Colloquium Publications
Publication Year: 1934; Volume 19
ISBNs: 978-0-8218-1019-4 (print); 978-1-4704-3167-9 (online)
DOI: https://doi.org/10.1090/coll/019
MathSciNet review: MR1451142
MSC: Primary 01A75; Secondary 30-03, 42-02

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Table of Contents

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Chapters

• Introduction
• Chapter I. Quasi-analytic functions
• Chapter II. Szász’s theorem
• Chapter III. Certain integral expansions
• Chapter IV. A class of singular integral equations
• Chapter V. Entire functions of the exponential type
• Chapter VI. The closure of sets of complex exponential functions
• Chapter VII. Non-harmonic Fourier series and a gap theorem
• Chapter VIII. Generalized harmonic analysis in the complex domain
• Chapter IX. Random functions
• Chapter IX. The harmonic analysis of random functions