Behaviour at infinity of solutions of twisted convolution equations

DOI10.1070/IM2012V076N01ABEH002575zbMath1243.43005OpenAlexW2003633884MaRDI QIDQ2880627

Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1070/im2012v076n01abeh002575

zbMATH Keywords

Heisenberg grouptwo-radii theoremconfluent hypergeometric functionstwisted convolution equation

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Analysis on other specific Lie groups (43A80)

Related Items (4)

A continuation of solutions to convolution equations with the loss of smoothness ⋮ Analogs of the Liouville property for harmonic functions on unbounded domains ⋮ Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ Non-harmonic cones are sets of injectivity for the twisted spherical means on ℂⁿ

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