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Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution

  • James Glimm
  • Arthur Jaffe

Abstract

The covariance operators C for the free field Gaussian measures of Chapter 6 are basic to a number of subjects. Their kernels C(x, y) are characterized as solutions of the Laplace equation
$$\left( { - \Delta + m^2 } \right)C\left( {x,y} \right) = \delta \left( {x - y} \right).$$
(7.1.1)

Keywords

Bilinear Form Dirichlet Boundary Condition Neumann Boundary Condition Covariance Operator Local Regularity 
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.

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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.Courant Institute for Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Harvard UniversityCambridgeUSA

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