Discrete Spectral Synthesis and Its Applications [electronic resource] /
Székelyhidi, László.author.
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.
Description based upon print version of record.
Includes bibliographical references (p.109-112) and index.
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.
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.
Harmonic analysis.
Difference equations.
Functional equations.
Commutative algebra.
Commutative rings.
Fourier analysis.
Abstract Harmonic Analysis.
Difference and Functional Equations.
Commutative Rings and Algebras.
Fourier Analysis.