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Analytic Nonstationary Processes

  • Randall J. Swift
Article

Abstract

In 1952, Cramér introduced a class of nonstationary processes. This broad class of processes contains the important harmonizable and stationary classes of processes. The Cramér class can have additional structure imposed upon it through Cesáro summability considerations. This paper obtains conditions for the analyticity of the sample paths of a class of these processes. A sampling theorem is presented as a natural application.

AMS Subject Classification

60G12 60G35 

Keywords

Harmonizable processes: Cramér processes analytic processes 

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Copyright information

© Grace Scientific Publishing 2007

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsCalifornia State Polytechnic UniversityPomonaUSA

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