On Feynman’s Integrals

  • J. Leray


The following result confirms an hypothesis made in theoretical physics (see J. Lascoux and F. Pham [2]), whose main part was recently proved by D. Fotiadi [1], (namely the existence of the algebraic singular support).


Theoretical Physic Slow Growth Main Part Spectral Function Bounded Function 
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    Fotiadi, D.: Thesis (to be published in Journal de math, pures et appl).Google Scholar
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    Lascoux, J.: Perturbation theory in quantun field theory and homology.Google Scholar
  3. Pham, F.: Landau singuarities in the physical region. Benjamin: Battelle Rencontres, 1967, Lectures in Mathematics and Physics (1968).Google Scholar
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    Leray, J.: Un Complément au théorème de N. Nilsson sur les intégrales de formes differentielles ä support singulier algébrique. Bull. Soc. Math. France 95,313–374 (1967).MathSciNetzbMATHGoogle Scholar
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    Leray, J.: In preparation.Google Scholar
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    Nilsson, N.: Some growth and ramification properties of certain integrals on algebraic manifolds. Arkiv for Math. 5, 463–476 (1963–65).MathSciNetCrossRefGoogle Scholar
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    Nilsson, N.: Asymptotic estimates for spectral functions connected with hypoelliptic differential operators. Arkiv for Math. 5, 527–540 (1963–65).MathSciNetCrossRefGoogle Scholar

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© Springer-Verlag Berlin · Heidelberg 1970

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  • J. Leray

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