Fourier analysis for vector-measures on compact abelian groups

DOI10.1007/s13398-015-0247-1zbMath1365.46038OpenAlexW2179594706MaRDI QIDQ326710

Oscar Blasco

Publication date: 12 October 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0247-1

zbMATH Keywords

Fourier transformconvolutionvector measures\(L^p\) of a vector measureRiemann-Lebesgue lemma

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued measures and integration (46G10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (4)

A class of Schur multipliers of matrices with operator entries ⋮ New spaces of matrices with operator entries ⋮ Fourier analysis associated to a vector measure on a compact group ⋮ Schur product with operator-valued entries

Cites Work

• Fourier transform and convolutions on \(L^{p}\) of a vector measure on a compact Hausdorff abelian group
• Optimal domain and integral extension of operators, acting in function spaces
• Algebra structure for \(L^p\) of a vector measure
• The complete continuity property in Banach spaces
• BANACH SPACES WITH THE RIEMANN–LEBESGUE OR THE ANALYTIC RIEMANN–LEBESGUE PROPERTY
• The weak Radon-Nikodym property in Banach spaces
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