Book 92

This volume looks at the spectral theory of global hypoelliptic pseudodifferential operators in Rn and the asymptotic estimate of the eigenvalue distribution function N of a hypoelliptic differential operator with polynomial coefficients in Rn. The first section introduces the pseudodifferential calculus with respect to a multi-quasi-elliptic weight; while the second part computes the asymptotic expansion of N for a multi-quasi-elliptic differential operator with polynomial coefficients. This is achieved by computing the asymptotic expansion of the Weyl term V. In this way, results are obtained with respect to a refinement of the asymptotic formula and the class of symbols considered.

v. 107

This volume deals with main results of the 3rd International Conference on Multivariate Approximation, organized by the University of Dortmund. Special emphasis is put on the following topics: interpolation and approximation on spheres and balls; approximation by solutions of differential equations; construction of node systems; and scattered data techniques.

v. 64.