Accession Number:

AD0718425

Title:

On Fredholm Transformations in Yeh-Wiener Space.

Descriptive Note:

Final rept.,

Corporate Author:

AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1970-11-01

Pagination or Media Count:

32.0

Abstract:

Let C sub Y denote the Yeh-Wiener space, i.e., the space of all real-valued continuous functions fx,y on I sup 2 identically equal to 0,1x0,1 such that f0,y fx,0 identically equal to 0, and a Gaussian measure defined on it so that the expected value Efx,y 0 and the covariance Efs,tfx,y 12mins,x.mint,y. Consider the Fredholm transformations of the type Tfx,y fx,y the integral over I sup 2 of Kx,y,s,tfs,tdsdt of C sub Y onto C sub Y. Under suitable assumptions on the kernel Kx,y,s,t the author gives the corresponding Radon-Nikodym derivatives. The author hopes the result will help for the evaluation of numerous Yeh-Wiener integrals of exponential functions. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE