Reference : Solvability of systems of invariant differential equations on H2 and beyond
E-prints/Working papers : First made available on ORBilu
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/51265
Solvability of systems of invariant differential equations on H2 and beyond
English
Palmirotta, Guendalina mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Olbrich, Martin mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
May-2022
21
Yes
[en] We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non-compact type G/K can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander’s proof of the Ehrenpreis-Malgrange theorem. We get complete solvability for the hyperbolic plane H2 and partial results for products H^2 × · · · × H^2 and the hyperbolic 3-space H^3.
Fondation National de la Recherche
PRIDE15/10949314/GSM
http://hdl.handle.net/10993/51265

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