Solvability of systems of invariant differential equations on H2 and beyond

Reference : Solvability of systems of invariant differential equations on H2 and beyond


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/51265

Title :	Solvability of systems of invariant differential equations on H2 and beyond
Language :	English
Author, co-author :	Palmirotta, Guendalina [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
	Olbrich, Martin [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Publication date :	May-2022
Number of pages :	21
Peer reviewed :	Yes
Abstract :	[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.
Funders :	Fondation National de la Recherche
Name of the research project :	PRIDE15/10949314/GSM
Permalink :	http://hdl.handle.net/10993/51265

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	SolvH2.pdf		Publisher postprint	496.73 kB	View/Open

All documents in ORBi^lu are protected by a user license.