Positive Definiteness on Products of Compact Two-point Homogeneous Spaces and Locally Compact Abelian Groups

DOI10.4153/S0008439519000663zbMath1465.43005OpenAlexW2982302287WikidataQ126868156 ScholiaQ126868156MaRDI QIDQ5148069

Valdir A. Menegatto, Claudemir P. Oliveira

Publication date: 29 January 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439519000663

zbMATH Keywords

Fourier transformpositive definitenesslocally compact abelian groupdual groupFourier inversioncompact two-point homogeneous space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Positive definite functions in one variable harmonic analysis (42A82) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces, Positive Definite Functions on Products via Fourier Transforms: Old and New

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