The Paley-Wiener Theorem for the Jacobi Transform and the Local Huygens' Principle for Root Systems with Even Multiplicities
Thomas Branson, Gestur Olafsson, Angela Pasquale
Abstract
This note is a continuation of the previous paper math.AP/0411383 by the same authors. Its purpose is to extend the results of math.AP/0411383 to the context of root systems with even multiplicities. Under the even multiplicity assumption, we prove a local Paley-Wiener theorem for the Jacobi transform and the strong Huygens' principle for the wave equation associated with the modified compact Laplace operator.
Create a lesson
Related papers
Critical Curve for Three-Dimensional Radial Wave Systems with Distinct Speeds
Wei Dai, Mengyun Liu, Chengbo Wang
Richardson dispersion and anomalous dissipation for the random velocity model with controlled sweeping
Charles Fefferman, Svitlana Mayboroda
Determination of the Lamé parameters and density at a fixed frequency
Huaian Diao, Yang Dong, Umidjon Durdiev et al.
Classification and asymptotics for the boundary Yamabe equation with an isolated singularity
Tianling Jin, Yuxuan Liao, Jingang Xiong
Sharp singular Moser-Trudinger inequalities and n-Laplacian equations with degenerate potentials
Hao Hu, Yanjun Liu, Huabo Zhang
Hs,p estimates for weak solutions of fractional nonlocal equations in divergence form
Zhenjie Li, Lihe Wang, Chunqin Zhou