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arXiv · 1204.3076

Real analytic expansion of spectral projection and extension of Hecke-Bochner identity

R. K. Srivastava
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Abstract

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 $f\in L^2(\mathbb C^n).$

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R. K. Srivastava. 2012-04-13. Real analytic expansion of spectral projection and extension of Hecke-Bochner identity. https://arxiv.org/abs/1204.3076

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