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EXPECTATION IN LOCAL FIELD | ||
| Journal of University of Anbar for Pure Science | ||
| Article 21, Volume 4, Issue 2, 2010, Pages 68-73 PDF (839.99 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2010.15381 | ||
| Authors | ||
| MUNA A. MAHMOOD* ; HASSAN H. EBRAHIM* | ||
| Tikrit University – College of .Science of computers and mathematics | ||
| Abstract | ||
| Abstract: In this paper we study the adic numbers as an example to the local field. Also we present Evans' new definition of expectation for random variables in this field and we study the properties of expectation according to this definition . | ||
| Keywords | ||
| topological field; local field; expectation; support function | ||
| References | ||
|
[1]. Evans, S. N. and Lidman, T. (2007) "Expectation, Conditional Expectation and Martingales in Local Fields", Electronic Journal of Probability, Vol. 12, No.17, pp. 498-515.
[2]. Evans, S. N. (2001) "Local Fields, Guassian Measures, and Brownian Motions", Topics in Probability and Lie Groups: Boundary Theory, CRM Proc. Lecture Notes, Vol. 28, Amer. Math. Soc., Providence, RI, pp. 11-50. MR 1832433 (2003 e:60012).
[3]. Evans, S. N. (2001) "Local Field U-statistics", Algebraic methods in statistics and probability (Noter Dame, IN., 2000), Contemp. Math., Vol. 287, Amer. Math. Soc., Providence, RI, pp. 75-81. MR 1873668 (2003 b:60014)
[4]. Evans, S. N. (2006) "The Expected Number of Zeros of A random System of -adic Polynomials", Electron. Comm. Probab. 11, 278-290 (electronic). MR 2266718.
[5]. Kuzhel, S. and Torba, S. (2007) "-adic Fractional Differentiation Operator with Point Interactions", Methods of Functional Analysis and Topology, Vol. 13, No. 2, pp. 169-180.
[6]. Mukhamedov, F. (2006) "On Arecursive Equation over p-adic Field", arxiv: math /0605231V1 [math.DS]
[7]. Papadopoulos, A. (2006) "Metric Spaces, Convexity, and Nonpositive curvature", Amer. Math. Soc., Vol. 43, No. 3, pp. 433-438. | ||
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