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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 ...
Extension of Euler Lagrange identity by superquadratic power functions
Euler Lagrange Identity Bohr’s inequality Convexity Superquadracity
2011/9/2
Abstract: Using convexity and superquadracity we extend in this paper Euler Lagrange identity, Bohr's inequalitiy and the triangle inequality.
A recursion identity for formal iterated logarithms and iterated exponentials
recursion identity formal iterated logarithms iterated exponentials
2011/1/18
We prove a recursive identity involving formal iterated logarithms and for-mal iterated exponentials. These iterated logarithms and exponentials appear in a nat-ural extension of the logarithmic forma...