Discrete Spectral Synthesis and Its Applications

• Main Author: Székelyhidi, László (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2006.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Commutative algebra.; Commutative rings.; Harmonic analysis.; Difference equations.; Functional equations.; Fourier analysis.; Abstract Harmonic Analysis.; Difference and Functional Equations.; Commutative Rings and Algebras.; Fourier Analysis.

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 uniq...

Table 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.