Irregular Sampling of Generalized Harmonizable Processes

Abstract

In this note an irregular sampling expansion for bandlimited harmonizable processes is obtained by employing contour integral techniques in the vector-valued analytic functions setting. In so doing, we use the integral representation of a harmonizable process with respect to a vector measure.

Key Words:

• Harmonizable processes
• Vector measures
• Sampling formulas

AMS:

• 60G10
• 46G10
• 94A20

Acknowledgments

The authors would like to thank the referee for his/her careful reading of the manuscript and for his/her suggestions which helped to improve the presentation of the paper. This work has been supported by the grant BFM2003-01034 from the D.G.I. of the Spanish Ministerio de Ciencia y Tecnologι´a.