GIBBS DIFFERENTIATIONS OF $ p $-ADIC HARMONIZABLE PROCESSES AND THEIR APPLICATIONS TO LINEAR $ p $-ADIC SYSTEMS
| Autor: | Yasushi Endow |
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| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | Bulletin of informatics and cybernetics. 30:41-50 |
| ISSN: | 0286-522X |
| DOI: | 10.5109/13468 |
| Popis: | One of the aims of this paper is to give a sufficient conidtion for sample Gibbs differentiability of $ p $-adic harmonizable processes, which are represented by stochastic integrals of the Chrestenson functions with respect to random measures. Other aims are to apply the result to linear Gibbs differential equations, which model $ p $-adic linear systems, and to express their solutions explicitly for driving functions of $ p $-adic harmonizable processes. |
| Databáze: | OpenAIRE |
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