HARMONIC & SPECTRAL ANALYSIS

This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis. Selected problems and exercises will provide readers with a better understanding of the topics and some open problems may inspire further research.

List of contents

Duality of Finite Abelian Groups; Harmonic Analysis on Finite Abelian Groups; Invariant Means on Abelian Groups; Duality of Discrete and Compact Abelian Groups; Duality of Elementary Abelian Groups; Harmonic Analysis on Compact Abelian Groups; Duality of Locally Compact Abelian Groups; Harmonic Analysis on Locally Compact Abelian Groups; Haar Integral on Locally Compact Abelian Groups; Spectral Analysis on Abelian Groups; Spectral Synthesis on Abelian Groups; Spectral Analysis and Synthesis on Varieties; Noncommutative Spectral Synthesis.

Product details

• Authors: Laszlo Szekelyhidi, Laszlo Szekelyhidi
• Publisher: World Scientific
• Languages: English
• Product format: Hardback
• Released: 27.02.2014
• EAN: 9789814531719
• ISBN: 978-981-4531-71-9
• No. of pages: 248
• Dimensions: 157 mm x 235 mm x 18 mm
• Weight: 515 g
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles