Vector valued mean-periodic functions on groups

DOI10.1017/S1446788700036788zbMath1026.43003MaRDI QIDQ4805454

P. Devaraj, Inder K. Rana

Publication date: 8 December 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral analysislocally compact abelian groupexponential polynomialstranslation-invariant subspacemean-periodic

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) 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)

Related Items (5)

Reconstruction of continuous functions from locally uniform weighted averages ⋮ Vector valued polynomials, exponential polynomials and vector valued harmonic analysis ⋮ Certain remarks on functional equations of convolution types ⋮ Reconstruction from local averages involving discrete measures ⋮ Reconstruction from local discrete averages on the plane

Cites Work

• Characterizations of the topology of uniform convergence on order- intervals
• Nuclear vector lattices
• Banachverbände und positive Projektionen
• Concrete representation of abstract (L)-spaces and the mean ergodic theorem
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• Lebesgue's Theorem of Differentiation in Frechet Lattices
• Schwartz Spaces, Nuclear Spaces and Tensor Products
• Produits tensoriels topologiques et espaces nucléaires

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