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Abstract

This is a report on joint work with M. F. Atiyah and R. Bott. Our aim is to analyze and generalize an article by I. G. Petrovsky [1].

Keywords

Entire Function Fundamental Solution Differential Form Algebraic Variety Hyperbolic Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Petrovsky, I. G.: On the Diffusion of Waves and Lacunas for Hyperbolic Equations. Mat. Sbornik (Ree. Math.), N.S. 17, 289–368 (1945).Google Scholar
  2. 2.
    Herglotz, G.: Über die Integration Linearer, Partieller Differentialgleichungen mit Konstanten Koeffizienten. I (Anwendung Abelscher Integrale). II and III (Anwendung Fourierscher Integrale). Leipzig: Ber. Säch. Akad. Wiss., Math.-Phys. Kl. 78, 93–126 (1926); 80, 6–114 (1928).Google Scholar
  3. 3.
    Leray, J.: Un Prolongement de la Transformation de Laplace... (Problème de Cauchy. IV). Bull. Soc. Math, de France 90, 39–156 (1962).MathSciNetMATHGoogle Scholar
  4. Nuij, W.: To be published in Math. Scand.Google Scholar
  5. 5.
    Svenson, Leif: To be published in Ark. f. Mat.Google Scholar
  6. 6.
    Grothendieck, A.: On the de Rham cohomology of algebraic varieties. Publ. IHES 29, 351—359 (1966).Google Scholar
  7. 7.
    Atiyah, Michael F., and Hodge, William V. D.: Integrals of the Second Kind of an Algebraic Variety. Ann. of Math. 62, 56–91 (1955)MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1970

Authors and Affiliations

  • L. Gårding

There are no affiliations available

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