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In this paper, we prove a derivative formula (Theorem 4.1) of the Coleman map for elliptic curves by purely local and elementary method and we apply this formula to Kato’s element
Such a definition is given in section 2 of the present paper; moreover, in Theorem (2.13) we prove that, under some very general conditions on the defining sequence ( a n ), every A ⊆
Polar decomposition, unitary factor, positive semidenite factor, unitarily invariant norm, Hadamard product, perturbation bound.. Our main result (Theorem 3.2) is a general
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
Key words: Brownian sheet, functional central limit theorem, Hölder space, invariance princi- ple, triangular array, summation process.. AMS 2000 Subject Classification:
Key words: Central limit theorem, excited random walk, law of large numbers, positive and negative cookies, recurrence, renewal structure, transience.. AMS 2000 Subject
Keywords Central Limit Theorem (CLT), Large Deviations Principle (LDP), Markov Pro- cesses, Autoregressive Model (AR1), Positive Recurrent Processes, Martingale Additive Func-
Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central
