Spectral Analysis and Spectral Synthesis

DOI10.1007/978-1-4614-3498-6_40zbMath1246.43003OpenAlexW123290014MaRDI QIDQ2905801

László Székelyhidi

Publication date: 28 August 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-3498-6_40

zbMATH Keywords

spectral analysisspectral synthesislocally compact groups

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Spectral synthesis on groups, semigroups, etc. (43A45) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Cites Work

• Counterexamples to a problem of L. Schwartz
• The matrix equation \(a(x\cdot y)=a(x)+a(x)a(y)+a(y)\)
• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• The failure of spectral synthesis on some types of discrete abelian groups
• Spectral synthesis on torsion groups
• Polynomial functions and spectral synthesis
• Théorie générale des fonctions moyenne-périodiques
• Spectral synthesis on discrete Abelian groups
• Harmonic analysis on discrete Abelian groups
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
• Spectral synthesis problems on locally compact groups
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