Some applications of invariant differential operators on a semi simple Lie algebra
Harish-Chandra (1956-1958)
Séminaire Bourbaki
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Displaying similar documents to “The Cauchy Harish-Chandra Integral, for the pair ”
Some applications of invariant differential operators on a semi simple Lie algebra
Conditions for the integrability of a second order nonlinear differential equation.
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Cauchy means of the Popoviciu type.
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Fundamental solutions of the differential operator
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Asymptotic analysis of a loss model with trunk reservation. I: Trunks reserved for fast traffic.
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A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
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We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential.
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Some sums of Legendre and Jacobi polynomials
Jan Gustavsson (2001)
Mathematica Bohemica
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We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.