29 citations · 38 across the 9 of their papers we have counts for
Showing 2005 · math.COShow all
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math.CO2005
Construction of spherical cubature formulas using lattices
Pierre De La Harpe, Claude Pache, Boris B. Venkov
We construct cubature formulas on spheres supported by homothetic images of shells in some Euclidian lattices. Our analysis of these cubature formulas uses results from the theory…
math.CO2005
Expanding graphs, Ramanujan graphs, and 1-factor perturbations
Pierre de la Harpe, Antoine Musitelli
We construct (k+-1)-regular graphs which provide sequences of expanders by adding or substracting appropriate 1-factors from given sequences of k-regular graphs. We compute numeric…
math.CO2005
Cubature formulas, geometrical designs, reproducing kernels, and Markov operators
Pierre De La Harpe, Claude Pache
Cubature formulas and geometrical designs are described in terms of reproducing kernels for Hilbert spaces of functions on the one hand, and Markov operators associated to orthogon…