Discrete Spectral Synthesis and Its Applications

In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required. This book covers several different problems in this field and is unique in being the only comprehensive coverage of this topic. It should appeal to graduate students and researchers in harmonic analysis, spectral analysis, functional equations and hypergroups.

List of contents

Spectral synthesis and spectral analysis.- Spectral analysis and spectral synthesis on discrete Abelian groups.- Spectral synthesis and functional equations.- Mean periodic functions.- Difference equations in several variables.- Spectral analysis and synthesis on polynomial hypergroups in a single variable.- Spectral analysis and synthesis on multivariate polynomial hypergroups.

Summary

In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required. This book covers several different problems in this field and is unique in being the only comprehensive coverage of this topic. It should appeal to graduate students and researchers in harmonic analysis, spectral analysis, functional equations and hypergroups.

Product details

• Authors: Laszlo Szekelyhidi, László Székelyhidi
• Publisher: Springer Netherlands
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9789400787230
• ISBN: 978-94-0-078723-0
• No. of pages: 119
• Dimensions: 155 mm x 7 mm x 235 mm
• Weight: 219 g
• Illustrations: XV, 119 p.
• Series: Springer Monographs in Mathematics; Springer Monographs in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Algebra, B, Mathematics and Statistics, Commutative algebra, Commutative rings, Commutative Rings and Algebras, Abstract Harmonic Analysis, Harmonic analysis, Differential calculus & equations, Difference equations, Functional equations, Difference and Functional Equations, Functional analysis & transforms, Fourier Analysis