Acta Mathematica

, Volume 84, Issue 1, pp 1–128 | Cite as

Multidimensional principal integrals, boundary value problems and integral equations

  • W. J. Trjitzinsky
Article
  • 109 Downloads

Keywords

Integral Equation Orthogonal Projection Half Plane Singular Integral Equation Conical Surface 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  1. 1.
    N. E. Mushelishvili,Granicnye Zadaci Teorii Funkcii i Nekotorye ih Prilozeniya k Matematiceskoi Fisike, Moscow-Leningrad, 1946, pp. 1–448.Google Scholar
  2. 2.
    W. J. Trjitzinsky,Singular Integral Equations with Cauchy Kernels, Trans. Amer. Math. Soc., vol. 60 (1946), pp. 167–214.CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    S. G. Michlin,Singular Integral Equations, Uspehi Matem. Nauk (N. S.) 3, no. 3 (25), pp. 29–112 (1948). This work is referred to in the text as [M].Google Scholar
  4. 4.
    G. Giraud,Equatrons à intégrales principales Ann. Sc. de l'Ecole Norm. Sup., t. 51, 1934, pp. 251–372; also, in the same Journal:Sur une classe d'équations intégrales où figurent des valeurs pricipales d'intégrales simples, t. 56, 1939, pp. 119–172.MathSciNetGoogle Scholar
  5. 1.
    T. Carleman,Sur la résolution de certaines équations intégrales, Arkiv för Math. Astr. och Physik, t. 16, No. 26, 1922.Google Scholar

Copyright information

© Fr. Bagges Kgl. Hofbogtrykkeri 1950

Authors and Affiliations

  • W. J. Trjitzinsky
    • 1
  1. 1.UrbanaU.S.A.

Personalised recommendations