Accession Number:

ADA106375

Title:

Domination Problem for Vector Measures and Applications to Nonstationary Processes.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV RIVERSIDE DEPT OF MATHEMATICS

Personal Author(s):

• Rao,M. M.

Report Date:

1981-09-23

Pagination or Media Count:

22.0

Abstract:

In this paper the question of finite p-variation and its representation via the Radon-Nikodym theory will not be considered beyond its comparison, even though it is useful in the integral representation of certain linear operations. On the other hand, the problem of finite p-semi-variation has immediate interest for certain stochastic process representations, and that will be treated in a reasonably detailed fashion for a class of vector measures.

Descriptors:

• *STOCHASTIC PROCESSES
• *VECTOR ANALYSIS
• FOURIER TRANSFORMATION
• LINEAR SYSTEMS
• RANDOM VARIABLES
• SCALAR FUNCTIONS
• OPERATORS(MATHEMATICS)
• INTEGRAL EQUATIONS
• HILBERT SPACE
• THEOREMS
• BANACH SPACE

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE