In this note, we generalize the results in our previous paper on the Casimir operator and Berezin transform, by showing the -continuity of a generalized Berezin transform associated with a branching problem for a class of unitary representations defined by invariant elliptic operators; we also show, that under suitable general conditions, this generalized Berezin transform is -continuous for
Dans cette note, nous généralisons les résultats de notre article précédent sur l’opérateur de Casimir et sur la transformée de Berezin, en prouvant la continuité d’une transformée de Berezin généralisée associée à un problème de bifurcation pour une classe de représentations unitaires définie par des opérateurs elliptiques invariants. Nous prouvons aussi que, sous des conditions générales adéquates, cette transformée de Berezin généralisée est -continue pour
Keywords: Discrete Series representations, branching laws, invariant elliptic operators
Mot clés : Séries discrètes, lois de bifurcation, opérateurs elliptiques invariants.
Ørsted, Bent 1; Vargas, Jorge 2
@article{AIF_2007__57_3_693_0, author = {{\O}rsted, Bent and Vargas, Jorge}, title = {A {Cauchy} {Problem} for {Elliptic} {Invariant} {Differential} {Operators} and {Continuity} of a generalized {Berezin} transform}, journal = {Annales de l'Institut Fourier}, pages = {693--702}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {57}, number = {3}, year = {2007}, doi = {10.5802/aif.2272}, mrnumber = {2336825}, zbl = {1123.22008}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2272/} }
TY - JOUR AU - Ørsted, Bent AU - Vargas, Jorge TI - A Cauchy Problem for Elliptic Invariant Differential Operators and Continuity of a generalized Berezin transform JO - Annales de l'Institut Fourier PY - 2007 SP - 693 EP - 702 VL - 57 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2272/ DO - 10.5802/aif.2272 LA - en ID - AIF_2007__57_3_693_0 ER -
%0 Journal Article %A Ørsted, Bent %A Vargas, Jorge %T A Cauchy Problem for Elliptic Invariant Differential Operators and Continuity of a generalized Berezin transform %J Annales de l'Institut Fourier %D 2007 %P 693-702 %V 57 %N 3 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2272/ %R 10.5802/aif.2272 %G en %F AIF_2007__57_3_693_0
Ørsted, Bent; Vargas, Jorge. A Cauchy Problem for Elliptic Invariant Differential Operators and Continuity of a generalized Berezin transform. Annales de l'Institut Fourier, Volume 57 (2007) no. 3, pp. 693-702. doi : 10.5802/aif.2272. https://aif.centre-mersenne.org/articles/10.5802/aif.2272/
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