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On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups
unitary representation Zuckerman’s derived functor module branching law reductive group D-module flag variety
2011/9/6
Abstract: In this paper, we study the restriction of Zuckerman's derived functor (g,K)-modules A_q(\lambda) to g' for symmetric pairs of reductive Lie algebras (g,g'). When the restriction decomposes ...
Fourier Restriction Estimates to Mixed Homogeneous Surfaces
Restriction theorems Fourier transform
2010/1/25
Let be real numbers such that and let a mixed homogeneous function. We consider polynomial functions and also functions of the type Let with the Lebesgue induced measure. For and let where d...