Wavelets pp 197-203 | Cite as

Holomorphic Integral Representations for the Solutions of the Helmholtz Equation

Conference paper
Part of the Inverse Problems and Theoretical Imaging book series (IPTI)


Two types of integral representations for the solutions of the (n-dimensional) Helmholtz equation in certain classes of unbounded domains have been presented and proved in [B0] (see also [B] for some generalization of these results to other equations). We shall describe here these representations, and give an extension of the second one to a more general class of domains. The main results can be summarized as follows.


Integral Representation Entire Function Analytic Continuation Helmholtz Equation Unbounded Domain 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [B]
    J. Bros in Séminaire E.D.P., Ecole Polytechnique 1985–86, Exposé n° 22.Google Scholar
  2. [B.O]
    J.Bros and R.Omnes: “Holomorphic integral representations for outgoing-waves in Saclay preprint, june 87, to be published in J.Math.pures et appl.Google Scholar
  3. [M.F]
    P.M. Morse and H. Feshbach: “Methods of Theoretical Physics”, Mc Graw Hill (1953).MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • J. Bros
    • 1
  1. 1.Service de Physique Théorique de Saclay Laboratoire de l’InstitutRecherche Fondamentale du Commissariat à l’Energie AtomiqueGif-sur-Yvette CedexFrance

Personalised recommendations