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Cookie akzeptierenNorbert Ortner / Peter Wagner
Distribution-Valued Analytic Functions - Theory and Applications
- edition swk
- 2013
- Gebunden
- 144 Seiten
- ISBN 9783849119683
Homogeneous and, more generally, quasihomogeneous distributions represent an important subclass of L. Schwartz's distributions. In this book, the meromorphic dependence of these distributions on the order of homogeneity and on further parameters is studied. The analytic continuation, the residues and the finite parts of these distribution-valued functions are investigated in some detail. This research was initiated by Marcel Riesz in his seminal article in Acta Mathematica in 1949. It leads to the so-called elliptic and hyperbolic M. Riesz kernels referring to the Laplace and the wave operator. The distributional formulation goes back to J. Dieudonné and J. Horváth. The analytic continuation of these distribution-valued functions yields
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