Titlebook: Linear Processes in Function Spaces; Theory and Applicati Denis Bosq Book 2000 Springer Science+Business Media New York 2000 Distribution.H

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Autoregressive Hilbertian Processes of Order 1,onsider the case where . is a Hilbert space and the induced discrete time process is a linear Markov sequence. This leads to define the autoregressive Hilbertian process of order 1, denoted ARH(1), a flexible model that is used in practice to model and predict continuous-time random experiments (see

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Autoregressive Processes in Banach Spaces,. In order to construct a random model adapted to such a situation, it is natural to use Banach spaces whose elements are regular functions, instead of general Hilbert spaces. The drawback of that choice is intricacy due to weakness of the geometrical properties of Banach spaces.

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