A Characterization of the L-2-Range of the Poisson Transform with Real and Singular Spectral Parameter on Symmetric Spaces of Noncompact Type

作者：Kaizuka Koichi^*

来源：Journal of Lie Theory, 2018, 28(2): 581-607.

• Symmetric space
• Poisson transform
• joint eigenfunction
• scattering theory

In the previous work, we proved the Strichartz conjecture concerning an image characterization of the Poisson transform with real and regular spectral parameter. In this paper, by developing weighted L-2-estimates on symmetric spaces of noncompact type, we extend our previous result to the case of real and singular spectral parameter. In the real and singular case, a certain degeneracy appears in the scattering formula for the Poisson transform.

• 出版日期2018