Advertisement

On Some Applications of Abstract Methods in Mathematical Physics

Definition of a renormalizable theory and of an unrenormalizable theory
  • J. L. Destouches
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 3/1966)

Abstract

Classical mathematical physics studies various physical prob­lems by uniform methods deriving from classical analysis.

Keywords

Hilbert Space Physical Theory Abstract Method Continuous Semigroup Abstract Space 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    a) J. L. Destouches: Cours de Physique mathématique appliquée, Faculté des Sciences de l’Université de Paris (Cours polycopié, Association corporative des étudiants en Sciences, Paris 1962 ).Google Scholar
  2. b.
    J. L. Destouches: Les notions fondamentales de la Physique mathématique, Cours â la Faculté des Sciences de Paris, 1e partie: ter semestre 1964–1965, 2e partie: 1er semestre 1965–1966 (Cours polycopié, Association Corporative des étudiants en Sciences, Paris 1965 et 1966 ).Google Scholar
  3. c.
    J. L. Destouches: La Physique mathématique (Coll. Que sais-je, Presses Unitersitaires de France, Paris 1965 ).Google Scholar
  4. d.
    J. L. Destouches: Qu’est-ce que la Physique mathématique? ( Gauthier-Villars, Paris 1966 ).Google Scholar
  5. 2.
    E. Hille, Functional Analysis and semi-groups, (Am. Math. Soc. Coll. Publ. Vol. 31, 1948; 2nd ed. with R. S. Phillips, 1957, New-York).Google Scholar
  6. 3.
    K. Yosida, Journ. Math. Soc. Japan, 1, 1948, 15, Functional Analysis, Springer 1965.Google Scholar
  7. 4.
    K. Sekine, Comptes Rendues, Acad. Sc. Paris, t, 261, 4996 (1965); Comptes Rendus, Acad. Sc. Paris,t. 262A, 158 (1966).MathSciNetGoogle Scholar
  8. 5.
    K. Sekine, in this issue, p. 440.Google Scholar
  9. 6.
    M. Stone, Linear transformations in Hilbert space (Am. Math. Soc. Coll. Publ. Vol. 15, New-York 1932 ).Google Scholar
  10. 7.
    K. Sekine, in this issue, p. 456.Google Scholar
  11. 8.
    P. Février, La structure des théories physiques ( Presses Universitaires de France, Paris 1951 ).MATHGoogle Scholar

Copyright information

© Springer-Verlag GmbH Wien 1966

Authors and Affiliations

  • J. L. Destouches
    • 1
  1. 1.Physique MathématiqueInstitut Henri PoincaréParisFrench

Personalised recommendations