Precise characterizations of admissible rate of decrease of a non-trivial function with zero ball means

DOI10.1070/SM2008V199N01ABEH003910zbMath1172.26311OpenAlexW2043262763MaRDI QIDQ3600841

Oksana Aleksandrovna Ochakovskaya

Publication date: 5 February 2009

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2008v199n01abeh003910

zbMATH Keywords

convolution equationsspherical meansLiouville-type theoremsball meansmean periodicityone-radius theorems

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Integration of real functions of several variables: length, area, volume (26B15) Integral geometry (53C65)

Related Items (3)

Injectivity classes of the Pompeiu transformation ⋮ On the admissible asymptotic behavior of the functions with zero integrals over the geodesic lines on a sphere ⋮ Boundary uniqueness theorems for functions whose integrals over hyperbolic discs vanish

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