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Real analytic expansion of spectral projection and extension of Hecke-Bochner identity
Coxeter group Hecke-Bochner identity Heisenberg group Laguerre polynomials spherical harmonics twisted convolution
2012/4/16
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 ...
Hilbert Expansion from the Boltzmann equation to relativistic Fluids
Hilbert Expansion Boltzmann equation relativistic Fluids
2010/12/13
We study the local-in-time hydrodynamic limit of the relativistic Boltzmann equation using a Hilbert expansion. More speci cally, we prove the existence of local solutions to the relativistic Boltzman...
Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces
Exponential type spinor orbitals Slater type spinor orbitals Addition theorems
2010/12/9
The analytical relations in position, momentum and four-dimensional spaces are established
for the expansion and one-range addition theorems of relativistic complete orthonormal sets
of exponential ...