Periodica Mathematica Hungarica

, Volume 26, Issue 2, pp 115–124 | Cite as

On basicity of exponentials inLP (dμ) and general prediction problems

  • A. G. Miamee


Let μ be a nonnegative measure on the unit circle in the complex plane and 1<p<∞. It is of interest to find conditions on μ so that the set of exponentialse inθ form a strongM-basis forL p (dμ). Some partial results are proved which can shed some light on this important open question. These results are of fundamental importance in the prediction theory of stochastic processes and other fields of applications. These results is then used to obtain a theorem which reduces some prediction problems to easier ones.

Mathematics subject classification numbers, 1991

Primary 42A42 Secondary 60G25 

Key words and phrases

Prediction on theory m-basis strongm-basis 


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Copyright information

© Akadémiai Kiadó 1993

Authors and Affiliations

  • A. G. Miamee
    • 1
  1. 1.Department of MathematicsHampton UniversityHamptonUSA

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