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An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
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2012/6/19
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
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
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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
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2011/9/2
Abstract: Using convexity and superquadracity we extend in this paper Euler Lagrange identity, Bohr's inequalitiy and the triangle inequality.