Generalized Random Processes

  • Leonid Koralov
  • Yakov G. Sinai
Part of the Universitext book series (UTX)

Abstract

We start this section by recalling the definitions of test functions and generalized functions.1 Then we shall introduce the notion of generalized random processes and see that they play the same role, when compared to ordinary random processes, as the generalized functions, when compared to ordinary functions.

Keywords

Covariance Function Gaussian Process Spectral Measure Wiener Process Inverse Fourier Transform 
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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Leonid Koralov
    • 1
  • Yakov G. Sinai
    • 2
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Department of MathematicsPrinceton UniversityNew JerseyUSA

Personalised recommendations