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Fractional time-dependent Schrödinger equation on the Heisenberg group

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Publication:957910
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DOI10.1007/s00209-008-0308-7zbMath1155.43005OpenAlexW2078643472MaRDI QIDQ957910

Roman Urban, Jacek Zienkiewicz

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0308-7


zbMATH Keywords

Heisenberg groupSobolev normlocal maximal functionfractional time-dependent Schrödinger equationKohn sublaplacianone-parameter group of unitary operators


Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)





Cites Work

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  • A restriction theorem for the Heisenberg group
  • A remark on Schrödinger operators
  • Initial value problem for the time dependent Schrödinger equation on the Heisenberg group
  • Problème de Waring avec exposants non entiers
  • Multidimensional van der Corput and sublevel set estimates
  • Schrödinger equation on the Heisenberg group




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