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Analogues of the Liouville theorem for solutions of the twisted convolution equation

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Publication:656285
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DOI10.1134/S1064562411020256zbMath1235.35057OpenAlexW1985030931MaRDI QIDQ656285

Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 17 January 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562411020256


zbMATH Keywords

Liouville theoremtwisted convolution equationtwisted spherical means


Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)




Cites Work

  • Spherical means and CR functions on the Heisenberg group
  • Mean periodic functions on phase space and the Pompeiu problem with a twist
  • Injectivity sets for spherical means on \(\mathbb{R}^n\) and on symmetric spaces
  • Liouville-type theorems for functions with zero integrals over balls of fixed radius
  • Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
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