Fourier transform for \(L^p\)-functions with a vector measure on a homogeneous space of compact groups

DOI10.1007/S00041-024-10077-ZMaRDI QIDQ6550713

Keng Wiboonton, Sorravit Phonrakkhet

Publication date: 5 June 2024

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Vector-valued measures and integration (46G10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

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• Fourier analysis for vector-measures on compact abelian groups
• 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
• Abstract operator-valued Fourier transforms over homogeneous spaces of compact groups
• Absolutely convergent Fourier series of functions over homogeneous spaces of compact groups
• Fourier analysis associated to a vector measure on a compact group
• Fourier-Stieltjes transforms over homogeneous spaces of compact groups
• Algebra structure for \(L^p\) of a vector measure
• Abstract measure algebras over homogeneous spaces of compact groups
• A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups
• Convolution structures for an Orlicz space with respect to vector measures on a compact group
• Integration in vector spaces

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