Integrales Singulieres

Texte du rabat

The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics. This formulation has proved crucial to the subsequent development of theoretical physics. This work is the outcome of a course in advanced quantum mechanics. It is drawn from the original work of the author Quantum Field and Critical Phenomena, Oxford University Press.

Contenu
Transformee de Hilbert dans le cas d'une variable.- Transformee de Hilbert dans le cas de plusieurs variables (noyaux impairs).- Applications de la transformation de Fourier aux integrales singulieres.- Etude du cas du noyau pair.- Operateurs singuliers et equations aux derivees partielles.- Quelques problemes ouverts.