Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (1): 1-14.

• Articles •     Next Articles

A MODEL FOR WHITE NOISE ANALYSIS IN P-ADIC NUMBER FIELDS

Andrew Khrennikov1, Huang Zhiyuan2   

  1. 1. Moscow Inst. of Electronic Engineering, 103498, Zelenograd, K-498, Russian Federation;
    2. Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan 430074, China
  • Received:1993-05-04 Revised:1993-10-07 Online:1996-03-25 Published:1996-03-25
  • Supported by:
    Supported by the National Natural Science Foundation of China and Russian Higher Education grant "p-adic mathematical physics".

Abstract: We propose a simple model for white noise analysis in the p-adic case based on the p-adic analogue of the space L2(R,).

Key words: white noise analysis, p-adic numbers, non-Archimedean norm, Gaussian distribution, generalized functional, chaotic representation

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