Geodesic
Convolution of radius functions on ℝ³
Annales Polonici Mathematici, Tome 60 (1994) no. 1, pp. 1-32.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We reduce the convolution of radius functions to that of 1-variable functions. Then we present formulas for computing convolutions of an abstract radius function on ℝ³ with various integral kernels - given by elementary or discontinuous functions. We also prove a theorem on the asymptotic behaviour of a convolution at infinity. Lastly, we deduce some estimates which enable us to find the asymptotics of the velocity and pressure of a fluid (described by the Navier-Stokes equations) in the boundary layer.
DOI : 10.4064/ap-60-1-1-32
Keywords: integral formulas, asymptotic behaviour of convolution at ∞

Konstanty Holly 1

1 
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Konstanty Holly. Convolution of radius functions on ℝ³. Annales Polonici Mathematici, Tome 60 (1994) no. 1, pp. 1-32. doi : 10.4064/ap-60-1-1-32. http://geodesic.mathdoc.fr/articles/10.4064/ap-60-1-1-32/

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