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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bases in $ L\sb{2}$ spaces with applications to stochastic processes with orthogonal increments


Author: Stamatis Cambanis
Journal: Proc. Amer. Math. Soc. 29 (1971), 284-290
MSC: Primary 60.40
MathSciNet review: 0283862
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Abstract: Orthonormal bases are explicitly given for $ {L_2}$ spaces on the real line. They are applied in obtaining orthogonal expansions for certain classes of stochastic processes and in constructing stochastic processes with orthogonal increments.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0283862-2
PII: S 0002-9939(1971)0283862-2
Keywords: Bases in $ {L_2}$ spaces, orthogonal expansion of processes, processes with orthogonal increments
Article copyright: © Copyright 1971 American Mathematical Society