Download eBook Free: https://ouo.io/UG5YEy Quasihomogeneous Distributions By: von Grudzinski, O. Publisher: North Holland Print ISBN: 9780444886705, 0444886702 eText ISBN: 9780444886705, 9780080872766, 008087276X Pages: 448 Format: PDF Available from $ 72.95 USD SKU 9780444886705 This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Schrödinger equation. The final chapter is devoted to quasihomogeneous wave front sets and their application to the description of singularities of quasihomogeneous distributions, in particular to quasihomogeneous fundamental solutions of the heat and of the Schrödinger equation.
