Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory [electronic resource] : Proceedings of the Colloquium Held at Les Houches, Centre de Physique September 1979 / edited by D. Iagolnitzer.

Essential support theory and u=0 theorems -- The theory of holonomic systems with regular singularities and its relevance to physical problems -- Second-microlocalization and asymptotic expansions -- Deuxieme microlocalisation -- Sur le problème de Hilbert-Riemann -- Conditions de positivité dans une variété symplectique complexe . Applications à l'étude des microfonctions -- Fuchsian systems of linear differential equations associated to Nilsson class functions and an application to Feynman integrals -- Singularites des solutions des equations aux derivees partielles non linearies -- Comportement semi classique du spectre d'un hamiltonien quantique -- Rational and Padé approximations to solutions of linear differential equations and the monodromy theory -- METHODE DE LA PHASE STATIONNAIRE ET SOMMATION DE BOREL -- Les series ? — sommables et leurs applications -- Reflection of analytic singularities -- Les operateurs metadifferentiels -- Asymptotic behaviour of Feynman integrals -- Integral relations in complex space and the global analytic and monodromic structure of Green's functions in quantum field theory: Some general ideas and recent results -- Microcausality, macrocasuality and the physical region (micro)analytic S-matrix -- Analytic 2-particle structure and crossing constraints -- On the scattering matrix with indefinite metric -- On the representation of the local current algebra -- S matrix theory of the massive thirring model -- Field theories in 1+1-dimensions with soliton behaviour: Form factors and Green's functions -- One and multidimensional completely integrable systems arising from the isospectral deformation -- Quantization of exactly integrable field theoretic models -- Aspects of Holonomic quantum fields -- Recent results for the planar Ising model.