Real analytic expansion of spectral projection and extension of   Hecke-Bochner identity
  In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function $f\in L^p(\mathbb C^n)$ with $1\leq p\leq\infty.$ We prove that spheres are sets of injectivity for the twisted spherical means with real analytic weight. Then, we derive a real analytic expansion for the spectral projections $f\times\varphi_k^{n-1}$ for function $f\in L^2(\mathbb C^n).$ 
R. K. Srivastava
math.FA