Plongements de séries discrètes pour un espace symétrique réductif

Carmona, Jacques

doi:10.1006/jfan.2000.3700

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Unclassified

Year Published

2005

Publication Types

Select...

Article1

Book1

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(a) Nos hypothèses impliquent (cf [C2,. Lemme 3.1]) que le seul élément ∈ X( ) ∩ (w − + N. + ) tel que p (P |f ) |U = 0 est = w − .…”

unclassified

Support d’asymptotiques et croissance des fonctions propres sur un espace symétrique semi-simple

Carmona¹

2005

Journal of Functional Analysis

Self Cite

View full text Add to dashboard Cite

We associate several distribution boundary values to an eigenfunction with moderate growth on a riemannian symmetric space G/K; the associated character of the algebra D(G/K) of invariant differential operators is allowed to be non-regular. We prove results on the support of these boundary values. These allow us to recover the theorems of Matsuki-Oshima and Oshima on the equivalence between growth of an eigenfunction and limitations on the supports of its boundary values. Our approach is based on an asymptotic analysis that makes no use of hyperfunction theory.

show abstract

“…(a) Nos hypothèses impliquent (cf [C2,. Lemme 3.1]) que le seul élément ∈ X( ) ∩ (w − + N. + ) tel que p (P |f ) |U = 0 est = w − .…”

unclassified

Support d’asymptotiques et croissance des fonctions propres sur un espace symétrique semi-simple

Carmona¹

2005

Journal of Functional Analysis

Self Cite

View full text Add to dashboard Cite

show abstract

The Plancherel Formula on Reductive Symmetric Spaces from the Point of View of the Schwartz Space

Delorme

2005

Progress in Mathematics

View full text Add to dashboard Cite

We establish the analog for real homogeneous spherical varieties of the Scattering Theorem of Sakellaridis and Venkatesh ([39], Theorem 7.3.1) for p-adic wavefront spherical varieties. We use properties of the Harish-Chandra homomorphism of Knop for invariant differential operators of the variety, special coverings of the variety and spectral projections. We have to make an analog of the Discrete Series Conjecture of Sakellaridis and Venkatesh ([39], Conjecture 9.4.6).

show abstract

Plongements de séries discrètes pour un espace symétrique réductif

Cited by 2 publications

References 18 publications

Support d’asymptotiques et croissance des fonctions propres sur un espace symétrique semi-simple

Support d’asymptotiques et croissance des fonctions propres sur un espace symétrique semi-simple

The Plancherel Formula on Reductive Symmetric Spaces from the Point of View of the Schwartz Space

Contact Info

Product

Resources

About