Literaturverzeichnis
S.Bergmann, Integral Operators in the Theory of Linear Partial Differential Equations. Berlin 1961.
R. v.Mises, Mathematical Theory of Compressible Fluid Flow. New York 1958.
E. T. Whittaker, On the partial differential equations of mathematical physics. Math. Ann.57, 333–355 (1903).
E. Kreyszig, On regular and singular harmonic functions of three variables. Arch. Rat. Mech. Anal.4, 352–370 (1960).
A.Erdélyi, W.Magnus, F.Oberhettinger and F.Teicomi, Higher Transcendental Functions. Vol. 2. New York 1953.
E.Kreyszig, On a class of integral operators of Bergman-Whittaker type. Arch. Rat. Mech. Anal. (im Druck).
R. P. Gilbert, Singularities of solutions to the wave equation in three dimensions. J. reine angew. Math.205, 75–81 (1960).
Author information
Authors and Affiliations
Additional information
H.Schmidt zum 60. Geburtstag
Rights and permissions
About this article
Cite this article
Kreyszig, E. Kanonische Integraloperatoren zur Erzeugung harmonischer Funktionen von vier Veränderlichen. Arch. Math 14, 193–203 (1963). https://doi.org/10.1007/BF01234943
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01234943